Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

English (EN)·Polski (PL)·Yкраїнський (UK)
Przejdź do strony domowej biblioteki Centralna Biblioteka Wojskowa Link otwiera się w nowym oknie Logo biblioteki Prolib Integro - strona głównaCentralna Biblioteka Wojskowa

Wyszukujesz frazę "adjoint" wg kryterium: Temat

  Lista filtrów
Wyrównaj
    Wyświetlanie 1-29 z 29
    Tytuł:
    Oscillation criteria for second order self-adjoint matrix differential equations
    Autorzy:
    Parhi, N.
    Praharaj, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1293939.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    matrix differential equations
    self-adjoint
    oscillation
    Opis:
    Some results concerning oscillation of second order self-adjoint matrix differential equations are obtained. These may be regarded as a generalization of results for the corresponding scalar equations.
    Źródło:
    Annales Polonici Mathematici; 1999, 72, 1; 1-14
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Necessary optimality conditions for predator-prey system with a hunter population
    Autorzy:
    Apreutesei, N. C.
    Powiązania:
    https://bibliotekanauki.pl/articles/952826.pdf
    Data publikacji:
    2010
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    predator-prey system
    optimal control
    adjoint system
    Opis:
    An optimal control problem is studied for a predator-prey reaction-diffusion system. A hunter population is introduced in the ecosystem and it is interpreted as a control variable. One finds necessary optimality conditions in order that, in the end of a given time interval, the total density of the two populations is maximal.
    Źródło:
    Opuscula Mathematica; 2010, 30, 4; 389-397
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Shape derivatives for general objective functions and the incompressible Navier-Stokes equations
    Autorzy:
    Schmidt, S.
    Schulz, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/969869.pdf
    Data publikacji:
    2010
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    shape optimization
    shape derivative
    Navier-Stokes
    adjoint calculus
    Opis:
    The aim of this paper is to present the shape derivative for a wide array of objective functions using the incompressible Navier-Stokes equations as a state constraint. Most real world applications of computational fluid dynamics are shape optimization problems in nature, yet special shape optimization techniques are seldom used outside the field of elliptic partial differential equations and linear elasticity. This article tries to be self contained, also presenting many useful results from the literature. We conclude with a comparison of different objective functions for the shape optimization of an obstacle in a channel, which can be done quite conveniently when one knows the general form of the shape gradient.
    Źródło:
    Control and Cybernetics; 2010, 39, 3; 677-713
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Adjointness between theories and strict theories
    Autorzy:
    Vogel, Hans-Jürgen
    Powiązania:
    https://bibliotekanauki.pl/articles/728926.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    symmetric monoidal category
    dhts-category
    partial theory
    adjoint functor
    Opis:
    The categorical concept of a theory for algebras of a given type was foundet by Lawvere in 1963 (see [8]). Hoehnke extended this concept to partial heterogenous algebras in 1976 (see [5]). A partial theory is a dhts-category such that the object class forms a free algebra of type (2,0,0) freely generated by a nonempty set J in the variety determined by the identities ox ≈ o and xo ≈ o, where o and i are the elements selected by the 0-ary operation symbols.
    If the object class of a dhts-category forms even a monoid with unit element I and zero element O, then one has a strict partial theory.
    In this paper is shown that every J-sorted partial theory corresponds in a natural manner to a J-sorted strict partial theory via a strongly d-monoidal functor. Moreover, there is a pair of adjoint functors between the category of all J-sorted theories and the category of all corresponding J-sorted strict theories.
    This investigation needs an axiomatic characterization of the fundamental properties of the category Par of all partial function between arbitrary sets and this characterization leads to the concept of dhts- and dhth∇s-categories, respectively (see [5], [11], [13]).
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 2; 163-212
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of wing-engine nacelle aerodynamic interference
    Autorzy:
    Zalewski, W.
    Stalewski, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/243801.pdf
    Data publikacji:
    2017
    Wydawca:
    Instytut Techniczny Wojsk Lotniczych
    Tematy:
    air transport
    nacelle-wing integration
    flow separation
    adjoint solver
    parametric design
    Opis:
    The article presents an analysis of the wing-engine nacelle flow interference phenomenon on the example of a light twin-engine commuter aircraft. The problems of propulsion system integration with the wing in airplanes are now frequently the subject of advanced optimization research performed by aircraft manufacturers. The shape of the engine nacelle and its connection with the wing determines the quality of the flow around the wing in that area. This is important for high-lift devices placed at the wing trailing edge behind engine nacelle used during the take-off and landing process. Additionally the flow is effected by the disturbances generated by working propellers, the presence of air inlets and an exhaust system of the engine. The article presents a process of numerical optimization of an engine nacelle rear part shape. The main goal of the process was to eliminate the flow disturbances caused by the engine nacelle-wing interference phenomenon. During analysis, the Adjoint Solver method was used to designate nacelle body areas where modification should have the most important impact on the flow quality. The results obtained from adjoint solver were used in the process of finding the optimum shape of the rear part of the nacelle using a parametric geometry generator powered by Ansys Design Modeler and PARADES software. Comparative computational analysis for selected geometries of the engine nacelle was performed using commercial Ansys Fluent solver. Ansys Fluent is an advanced computational solver based on the finite volume method for solving the Navier-Stokes flow equations. Several dozen of geometric shapes were analysed in the optimization process of the nacelle rear part. The final result was the shape of the engine nacelle with correct flow without separation and vortex structures. The article presents results of calculations and visualization of the flow pattern for analysed cases.
    Źródło:
    Journal of KONES; 2017, 24, 3; 339-344
    1231-4005
    2354-0133
    Pojawia się w:
    Journal of KONES
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximation of eigenvalues of some unbounded self-adjoint discrete Jacobi matrices by eigenvaules of finite submatrices
    Autorzy:
    Malejki, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/255561.pdf
    Data publikacji:
    2007
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    self-adjoint unbounded Jacobi matrix
    asymptotics
    point spectrum
    tridiagonal matrix
    eigenvalue
    Opis:
    We investigate the problem of approximation of eigenvalues of some self-adjoint operator in the Hilbert space l2(N) by eigenvalues of suitably chosen principal finite submatrices of an infinite Jacobi matrix that defines the operator considered. We assume the Jacobi operator is bounded from below with compact resolvent. In our research we estimate the asymptotics (with n → ∞) of the joint error of approximation for the first n eigenvalues and eigenvectors of the operator by the eigenvalues and eigenvectors of the finite submatrix of order n x n. The method applied in our research is based on the Rayleigh-Ritz method and Volkmer's results included in [7]. We extend the method to cover a class of infinite symmetric Jacobi matrices with three diagonals satisfying some polynomial growth estimates.
    Źródło:
    Opuscula Mathematica; 2007, 27, 1; 37-49
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Il ne faut pas se laisser tromper par la langue : entre syntaxe et sémantique
    Don’t Be Fooled by the Language: Between Syntax and Semantics
    Autorzy:
    Śmigielska, Beata
    Powiązania:
    https://bibliotekanauki.pl/articles/31341237.pdf
    Data publikacji:
    2022
    Wydawca:
    Wydawnictwo Uniwersytetu Śląskiego
    Tematy:
    Semantic grammar
    predicate
    argument
    adjoint
    modifier
    valence
    semantic implication
    paraphrase
    contradiction
    Opis:
    In this article, Beata Śmigielska describes the questions used to determine the number and nature of arguments of predicates within the framework of Stanisław Karolak’s semantics-based grammar. Since syntactic structures do not directly reflect the semantic structures of predicates, the distinction between arguments and adjunct elements (modifiers) often becomes problematic. This fact is related to the lack of a single methodology by which this can be done in a simple and unambiguous way, resulting in different results of analyses of the same predicates. To solve this problem, it is necessary clearly to define the theory within which we work, because it is the adopted perspective and its well-defined principles that will decide both the path of thought during the research and its results. In her analyses of the selected predicates, Śmigielska defines the tools that can be used in predicate description such as the semantic decomposition of predicates into simpler elements, supplemented, where necessary, by contradiction tests and paraphrasing.
    Źródło:
    Neophilologica; 2022, 34; 1-19
    0208-5550
    2353-088X
    Pojawia się w:
    Neophilologica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An inverse backward problem for degenerate two-dimensional parabolic equation
    Autorzy:
    Atifi, Khalid
    Essoufi, El-Hassan
    Khouiti, Bouchra
    Powiązania:
    https://bibliotekanauki.pl/articles/255085.pdf
    Data publikacji:
    2020
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    data assimilation
    adjoint method
    regularization
    heat equation
    inverse problem
    degenerate equations
    optimization
    Opis:
    This paper deals with the determination of an initial condition in the degenerate two-dimensional parabolic equation [formula], where Ω is an open, bounded subset of R2, a [formula] with a ≥0 everywhere, and [formula], with initial and boundary conditions [formula] from final observations. This inverse problem is formulated as a minimization problem using the output least squares approach with the Tikhonov regularization. To show the convergence of the descent method, we prove the Lipschitz continuity of the gradient of the Tikhonov functional. Also we present some numerical experiments to show the performance and stability of the proposed approach.
    Źródło:
    Opuscula Mathematica; 2020, 40, 4; 427-449
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the numerical discretization of optimal control problems for conservation laws
    Autorzy:
    Schäfer Aguilar, Paloma
    Schmitt, Johann Michael
    Ulbrich, Stefan
    Moos, Michael
    Powiązania:
    https://bibliotekanauki.pl/articles/1839148.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    conservation laws
    adjoint state
    linear transport equation
    discontinuous coefficients
    finite difference schemes
    Opis:
    We analyze the convergence of discretization schemes for the adjoint equation arising in the adjoint-based derivative computation for optimal control problems governed by entropy solutions of conservation laws. The difficulties arise from the fact that the correct adjoint state is the reversible solution of a transport equation with discontinuous coefficient and discontinuous end data. We derive the discrete adjoint scheme for monotone difference schemes in conservation form. It is known that convergence of the discrete adjoint can only be expected if the numerical scheme has viscosity of order O(h) with appropriate 0 < α < 1, which leads to quite viscous shock profiles. We show that by a slight modification of the end data of the discrete adjoint scheme, convergence to the correct reversible solution can be obtained also for numerical schemes with viscosity of order O(h) and with sharp shock resolution. The theoretical findings are confirmed by numerical results.
    Źródło:
    Control and Cybernetics; 2019, 48, 2; 345-376
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Spontaneous decay of level from spectral theory point of view
    Autorzy:
    Ianovich, Eduard
    Powiązania:
    https://bibliotekanauki.pl/articles/2048989.pdf
    Data publikacji:
    2021
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    spectral theory
    quantum field theory
    self-adjoint operators
    absolutely continuous spectrum
    spontaneous decay
    Opis:
    In quantum field theory it is believed that the spontaneous decay of excited atomic or molecular level is due to the interaction with continuum of field modes. Besides, the atom makes a transition from upper level to lower one so that the probability to find the atom in the excited state tends to zero. In this paper it will be shown that the mathematical model in single-photon approximation may predict another behavior of this probability generally. Namely, the probability to find the atom in the excited state may tend to a nonzero constant so that the atom is not in the pure state finally. This effect is due to that the spectrum of the complete Hamiltonian is not purely absolutely continuous and has a discrete level outside the continuous part. Namely, we state that in the corresponding invariant subspace, determining the time evolution, the spectrum of the complete Hamiltonian when the field is considered in three dimensions may be not purely absolutely continuous and may have an eigenvalue. The appearance of eigenvalue has a threshold character. If the field is considered in two dimensions the spectrum always has an eigenvalue and the decay is absent.
    Źródło:
    Opuscula Mathematica; 2021, 41, 6; 849-859
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices
    Autorzy:
    Harrat, Ayoub
    Zerouali, El Hassan
    Zielinski, Lech
    Powiązania:
    https://bibliotekanauki.pl/articles/255073.pdf
    Data publikacji:
    2020
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    tridiagonal matrix
    band matrix
    unbounded self-adjoint operator discrete spectrum
    large eigenvalues
    asymptotics
    Opis:
    We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.
    Źródło:
    Opuscula Mathematica; 2020, 40, 2; 241-270
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On roots of the automorphism group of a circular domain in $ℂ^n$
    Autorzy:
    Myszewski, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/1312644.pdf
    Data publikacji:
    1991
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    circular domain
    automorphism group
    maximal torus
    Lie algebra
    adjoint representation
    root
    root subspace
    Opis:
    We study the properties of the group Aut(D) of all biholomorphic transformations of a bounded circular domain D in $ℂ^n$ containing the origin. We characterize the set of all possible roots for the Lie algebra of Aut(D). There exists an n-element set P such that any root is of the form α or -α or α-β for suitable α,β ∈ P.
    Źródło:
    Annales Polonici Mathematici; 1991, 55, 1; 269-276
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Gauss sum for the adjoint representation of $GL_{n}(q)$ and $SL_{n}(q)$
    Autorzy:
    Jeong, Yeon-Kwan
    Lee, In-Sok
    Oh, Hyekyoung
    Park, Kyung-Hwan
    Powiązania:
    https://bibliotekanauki.pl/articles/1206803.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    adjoint representation
    $GL_{n}(q)$
    $SL_{n}(q)$
    Gauss sum
    $PGL_{n}(q)$
    Źródło:
    Acta Arithmetica; 2000, 95, 1; 1-16
    0065-1036
    Pojawia się w:
    Acta Arithmetica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On one condition of absolutely continuous spectrum for self-adjoint operators and its applications
    Autorzy:
    Ianovich, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/254841.pdf
    Data publikacji:
    2018
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    self-adjoint operators absolutely continuous spectrum
    equi-absolute continuity
    spectral density
    Jacobi matrices
    Opis:
    In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operators is considered. For the analysis it is used an approximation of a self-adjoint operator A by a sequence of operators An with absolutely continuous spectrum on a given interval [a, b] which converges to A in a strong sense on a dense set. The notion of equi-absolute continuity is also used. It was found a sufficient condition of absolute continuity of the operator A spectrum on the finite interval [a, b] and the condition for that the corresponding spectral density belongs to the class Lp[a,b] (p ≥ 1). The application of this method to Jacobi matrices is considered. As one of the results we obtain the following assertion: Under some mild assumptions, suppose that there exist a constant C > 0 and a positive function g(x) ∈ Lp[a, b] (p ≥ 1).such that for all n sufficiently large and almost all [formula] the estimate [formula] holds, where Pn(x) are 1st type polynomials associated with Jacobi matrix (in the sense of Akhiezer) and bn is a second diagonal sequence of Jacobi matrix. Then the spectrum of Jacobi matrix operator is purely absolutely continuous on [a, b] and for the corresponding spectral density ƒ (x) we have ƒ (x) ∈ Lp[a,b].
    Źródło:
    Opuscula Mathematica; 2018, 38, 5; 699-718
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Towards theory of C-symmetries
    Autorzy:
    Kuzhel, S.
    Sudilovskaya, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/255003.pdf
    Data publikacji:
    2017
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Krein space
    J-self-adjoint operator
    J-symmetric operator
    Friedrichs extension
    C-symmetry
    Opis:
    The concept of C-symmetry originally appeared in PT-symmetric quantum mechanics is studied within the Krein spaces framework.
    Źródło:
    Opuscula Mathematica; 2017, 37, 1; 65-80
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Maximum packings of the a-fold complete 3-uniform hypergraph with loose 3-cycles
    Autorzy:
    Bunge, Ryan C.
    Collins, Dontez
    Conko-Camel, Daryl
    El-Zanati, Saad I.
    Liebrecht, Rachel
    Vasquez, Alexander
    Powiązania:
    https://bibliotekanauki.pl/articles/255534.pdf
    Data publikacji:
    2020
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    tridiagonal matrix
    band matrix
    unbounded self-adjoint operator discrete spectrum
    large eigenvalues
    asymptotics
    Opis:
    It is known that the 3-uniform loose 3-cycle decomposes the complete 3-uniform hypergraph of order v if and only if v ≡0, 1, or 2 (mod 9). For all positive integers λand v, we find a maximum packing with loose 3-cycles of the λ-fold complete 3-uniform hypergraph of order v. We show that, if v ≥6, such a packing has a leave of two or fewer edges.
    Źródło:
    Opuscula Mathematica; 2020, 40, 2; 209-225
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Shape optimization of a submerged 2D hydrofoil and improvement of its lift-to-drag ratio using CFDbased mesh morphing-adjoint algorithm
    Autorzy:
    Nazemian, Amin
    Ghadimi, Parviz
    Ghadimi, Aliakbar
    Powiązania:
    https://bibliotekanauki.pl/articles/24202520.pdf
    Data publikacji:
    2022
    Wydawca:
    Akademia Morska w Szczecinie. Wydawnictwo AMSz
    Tematy:
    NACA0012 hydrofoil
    free surface
    lift-to-drag ratio
    Ansys-Fluent
    mesh morphing
    adjoint solver
    Opis:
    Hydrofoils are utilized as instruments to improve the hydrodynamic performance of marine equipment. In this paper, the motion of a 2D NACA0012 hydrofoil advancing in water near the free surface was simulated, and a mesh morphing-adjoint based optimizer was used to maximize its lift-to-drag ratio. Ansys-Fluent was used as a CFD solver, and a mesh-morphing tool was used as a geometry reconstruction tool. Furthermore, the Adjoint solver was applied to evaluate the sensitivities of the objective function to all solution variables. Defined control points around the geometry are design variables that move in an appropriate direction through shape sensitivity. The computational results were validated against available experimental data and published numerical findings. Subsequently, different hydrodynamic characteristics of the optimized hydrofoil were compared to those of the original model at different angles of attack of 3, 3.5, 4, 4.5, 5, 5.5, 6, and 6.5°, and optimized shapes were determined. It was observed that the shape of the optimized hydrofoil was totally dependent on the angle of attack, which produced different lift-to-drag ratios. It is also seen that among higher angles of attack at which improvement in the L/D ratio became steady, the drag coefficient was the lowest at 5°. Therefore, it can be concluded that the appropriate angle of attack for a hydrofoil installation on the ship hull is 5°. Further investigation was conducted concerning the evolution of shape optimization, sensitivity analysis, free surface elevation, flow characteristics, and hydrodynamic performance of the hydrofoil at a 5° angle of attack.
    Źródło:
    Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2022, 70 (142); 27--40
    1733-8670
    2392-0378
    Pojawia się w:
    Zeszyty Naukowe Akademii Morskiej w Szczecinie
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On extensions of matrix-valued Hahn–Sturm–Liouville operators
    Autorzy:
    Allahverdiev, Bilender
    Tuna, Huseyin
    Powiązania:
    https://bibliotekanauki.pl/articles/2078952.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
    Tematy:
    Hahn–Sturm–Liouville equation
    minimal and maximal operators
    maximal dissipative
    accumulative and self-adjoint extensions
    Opis:
    In this paper, we study matrix-valued Hahn–Sturm–Liouville equations. We give an existence and uniqueness result. We introduce the corresponding maximal and minimal operators for this system, and some properties of these operators are investigated. Finally, we characterize extensions (maximal dissipative, maximal accumulative and self-adjoint) of the minimal symmetric operator.
    Źródło:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2021, 75, 2; 1-12
    0365-1029
    2083-7402
    Pojawia się w:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Self-adjoint extensions of differential operators and exterior topological derivatives in shape optimization
    Autorzy:
    Nazarov, S. A.
    Sokołowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/970558.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    rozszerzenie samosprzężone
    optymalizacja kształtu
    zewnętrzna pochodna topologiczna
    self-adjoint extension
    shape optimization
    exterior topological derivative
    ligament
    Opis:
    Self-adjoint extensions are constructed for a family of boundary value problems in domains with a thin ligament and an asymptotic analysis of a Lq-continuous functional is performed. The results can be used in numerical methods of shape and topology optimization of integral functionals for elliptic equations. At some stage of optimization process the singular perturbation of geometrical domain by an addition of thin ligament can be replaced by its approximation denned for the appropriate self-adjoint extension of the elliptic operator. In this way the topology variation of current geometrical domain can be determined and used e.g., in the level-set type methods of shape optimization.
    Źródło:
    Control and Cybernetics; 2005, 34, 3; 903-925
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The chromatic equivalence class of graph $\overline{B_{n-6,1,2}}$
    Autorzy:
    Wang, Jianfeng
    Huang, Qiongxiang
    Ye, Chengfu
    Liu, Ruying
    Powiązania:
    https://bibliotekanauki.pl/articles/743311.pdf
    Data publikacji:
    2008
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    chromatic equivalence class
    adjoint polynomial
    the smallest real root
    the second smallest real root
    the fourth character
    Opis:
    By h(G,x) and P(G,λ) we denote the adjoint polynomial and the chromatic polynomial of graph G, respectively. A new invariant of graph G, which is the fourth character R₄(G), is given in this paper. Using the properties of the adjoint polynomials, the adjoint equivalence class of graph $B_{n-6,1,2}$ is determined, which can be regarded as the continuance of the paper written by Wang et al. [J. Wang, R. Liu, C. Ye and Q. Huang, A complete solution to the chromatic equivalence class of graph $\overline{B_{n-7,1,3}}$, Discrete Math. (2007), doi: 10.1016/j.disc.2007.07.030]. According to the relations between h(G,x) and P(G,λ), we also simultaneously determine the chromatic equivalence class of $\overline{B_{n-6,1,2}}$ that is the complement of $B_{n-6,1,2}$.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2008, 28, 2; 189-218
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Perturbation series for Jacobi matrices and the quantum Rabi model
    Autorzy:
    Charif, Mirna
    Zielinski, Lech
    Powiązania:
    https://bibliotekanauki.pl/articles/2051897.pdf
    Data publikacji:
    2021
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Jacobi matrix
    unbounded self-adjoint operators
    quasi-degenerate eigenvalue perturbation
    perturbation series
    quantum Rabi model
    rotating wave approximation
    Opis:
    We investigate eigenvalue perturbations for a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. In particular we obtain explicit estimates for the convergence radius of the perturbation series and error estimates for the Quantum Rabi Model including the resonance case. We also give expressions for coefficients near resonance in order to evaluate the quality of the rotating wave approximation due to Jaynes and Cummings. .
    Źródło:
    Opuscula Mathematica; 2021, 41, 3; 303-333
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An alternative to Gower’s inverse matrix
    Autorzy:
    López-Bonilla, J.
    López-Vázquez, R.
    Vidal-Beltrán, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1177483.pdf
    Data publikacji:
    2018
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Adjoint matrix
    Characteristic equation
    Eigenvalue problem
    Faddeev-Sominsky’s method
    Gower’s pseudoinverse matrix
    Leverrier-Takeno’s algorithm
    Opis:
    We show that the Faddeev-Sominsky’s process allows construct a natural inverse for any square matrix, which is an alternative to the inverse obtained by Gower.
    Źródło:
    World Scientific News; 2018, 102; 166-172
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Faddeev-Sominsky’s algorithm
    Autorzy:
    Torres-Silva, H.
    López-Bonilla, J.
    Vidal-Beltrán, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1166341.pdf
    Data publikacji:
    2018
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Adjoint matrix
    Characteristic equation
    Eigenvalue problem
    Faddeev-Sominsky’s method
    Inverse matrix
    Leverrier-Takeno’s algorithm
    Resolvent of a matrix
    Opis:
    We comment that the Faddeev-Sominsky’s process to obtain an inverse matrix is equivalent to the Cayley-Hamilton-Frobenius theorem plus the Leverrier-Takeno’s method to construct the characteristic polynomial of an arbitrary matrix. Besides, we deduce the Lanczos expression for the resolvent of the corresponding matrix.
    Źródło:
    World Scientific News; 2018, 106; 238-244
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new imaging algorithm for electric capacitance tomography
    Nowy algorytm obrazowania w elektrycznej tomografii pojemnościowej
    Autorzy:
    Pańczyk, M.
    Sikora, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/158998.pdf
    Data publikacji:
    2016
    Wydawca:
    Sieć Badawcza Łukasiewicz - Instytut Elektrotechniki
    Tematy:
    electric capacitance tomography
    partial differential equations
    adjoint equation
    inverse problem
    elektryczna tomografia pojemnościowa
    równania różniczkowe cząstkowe
    równanie sprzężone
    zagadnienie odwrotne
    Opis:
    A new imaging algorithm of permittivity for Electrical Capacitance Tomography (ECT) was proposed in this paper. Some aspects of sensitivity analysis and the application of adjoint variables were discussed. In the final section of this paper some advantages and disadvantages were shown.
    W pracy przedstawiono „nowy” algorytm obrazowania przenikalności elektrycznej w Elektrycznej Tomografii Pojemnościowej. Omówiono aspekty związane z analizą wrażliwościową i zmienna sprzężoną. Przedstawiono jej interpretację fizyczną. Wskazano na zalety i wady zaproponowanej metody obrazowania.
    Źródło:
    Prace Instytutu Elektrotechniki; 2016, 274; 27-41
    0032-6216
    Pojawia się w:
    Prace Instytutu Elektrotechniki
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On self-adjoint operators in Krein spaces constructed by Clifford algebra Cl2
    Autorzy:
    Kuzhel, S.
    Patsyuck, O.
    Powiązania:
    https://bibliotekanauki.pl/articles/256050.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Krein spaces
    extension theory of symmetric operators
    operators with empty resolvent set
    J-self-adjoint operators
    Clifford algebra Cl2
    Opis:
    Let J and R be anti-commuting fundamental symmetries in a Hilbert space ℘. The operators J and R can be interpreted as basis (generating) elements of the complex Clifford algebra Cl2(J,R) := span{I, J;R, iJR}. An arbitrary non-trivial fundamental symmetry from Cl2(J,R) is determined by the formula [formula]. Let S be a symmetric operator that commutes with Cl2(J,R). The purpose of this paper is to study the sets [formula] of self-adjoint extensions of S in Krein spaces generated by fundamental symmetries [formula]. We show that the sets [formula] and [formula] are unitarily equivalent for different [formula] and describe in detail the structure of operators [formula] with empty resolvent set.
    Źródło:
    Opuscula Mathematica; 2012, 32, 2; 297-316
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal control of nonlinear evolution equations
    Autorzy:
    Papageorgiou, Nikolaos
    Yannakakis, Nikolaos
    Powiązania:
    https://bibliotekanauki.pl/articles/729352.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    evolution triple
    compact embedding
    monotone operator
    pseudomonotone operator
    L-generalized pseudomonotonicity
    integration by parts
    evolution inclusion
    saddle point
    necessary conditions
    adjoint equation
    distributed parameter systems
    Opis:
    In this paper, first we consider parametric control systems driven by nonlinear evolution equations defined on an evolution triple of spaces. The parametres are time-varying probability measures (Young measures) defined on a compact metric space. The appropriate optimization problem is a minimax control problem, in which the system analyst minimizes the maximum cost (risk). Under general hypotheses on the data we establish the existence of optimal controls.
    Then we pass to nonparametric systems, which are governed by nonlinear evolution equations with nonmonotone operators. We prove two existence results for such evolution inclusions, which are of independent interest and extend significantly the results existing in the literature. Then we solve time-optimal and Meyer-type optimization problems. In Section 5, we derive necessary conditions for saddle point optimality in the minimax control problem. We conclude the paper with three examples of distributed parameter control systems.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 1; 5-50
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extremals of the time optimal control problem for a material point moving along a straight line in the presence of friction and limitation on the velocity
    Autorzy:
    Osmolovskii, N. P.
    Figura, A.
    Kośka, M.
    Wójtowicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/206453.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    material point
    resistance forces
    acceleration
    deceleration
    Pontryagin’s maximum principle
    second order optimality conditions
    optimal control
    adjoint variable
    state constraint
    Stieltjes measure
    singular arc
    boundary arc
    Opis:
    This paper provides an analysis of the time optimal control problem for a material point moving along a straight line in the presence of strength of resistance to movement (friction) and subject to constraint on the velocity. The point is controlled by a limited traction or braking force. The analysis of the problem is based on the maximum principle for state constraints in the Dubovitskii-Milyutin form, see Dubovitskii and Milyutin (1965), and the necessary second-order optimality condition for bang-bang controls, see Milyutin and Osmolovskii (1998).
    Źródło:
    Control and Cybernetics; 2017, 46, 4; 305-324
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Universal images of universal elements
    Autorzy:
    Bernal-González, Luis
    Powiązania:
    https://bibliotekanauki.pl/articles/1206133.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    universal element
    almost commutativity
    universal image
    dense range
    dense hypercyclic manifold
    point spectrum of the adjoint
    analytic function of an operator
    real entire function
    maximal dimension
    Opis:
    We furnish several necessary and sufficient conditions for the following property: For a topological space X, a continuous selfmapping S of X and a family τ of continuous selfmappings of X, the image under S of every τ-universal element is also τ-universal. An application in operator theory, where we extend results of Bourdon, Herrero, Bes, Herzog and Lemmert, is given. In particular, it is proved that every hypercyclic operator on a real or complex Banach space has a dense invariant linear manifold with maximal algebraic dimension consisting, apart from zero, of vectors which are hypercyclic.
    Źródło:
    Studia Mathematica; 2000, 138, 3; 241-250
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the development of Pontryagins Maximum Principle in the works of A.Ya. Dubovitskii and A.A. Milyutin
    Autorzy:
    Dmitruk, A. V.
    Powiązania:
    https://bibliotekanauki.pl/articles/970915.pdf
    Data publikacji:
    2009
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Euler-Lagrange equation
    maximum principle
    classes of variations
    Pontryagin minimum
    state constraints
    measure in adjoint equation
    regular and nonregular mixed constraints
    phase points
    closure with respect to measure
    three-storey theorem
    Opis:
    We give a short review of the development and generalizations of the Pontryagin Maximum Principle, provided in the studies of Dubovitskii and Milyutin in the 1960s and later years.
    Źródło:
    Control and Cybernetics; 2009, 38, 4A; 923-957
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-29 z 29

      Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies