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    Wyświetlanie 1-10 z 10
    Tytuł:
    Operators in divergence form and their Friedrichs and Krein extensions
    Autorzy:
    Arlinskii, Y.
    Kovalev, Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/254828.pdf
    Data publikacji:
    2011
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    symmetric operator
    divergence form
    Friedrichs extension
    Krein extension
    Opis:
    For a densely defined nonnegative symmetric operator A = L*(2)L1 in a Hilbert space, constructed from a pair L1 ⊂ L2 of closed operators, we give expressions for the Friedrichs and Krein nonnegative selfadjoint extensions. Some conditions for the equality (L*(2)L1)* = L*(1)L2 are obtained. Applications to 1D nonnegative Hamiltonians, corresponding to point interactions, are given.
    Źródło:
    Opuscula Mathematica; 2011, 31, 4; 501-517
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A general boundary value problem and its Weyl function
    Autorzy:
    Ryzhov, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/255861.pdf
    Data publikacji:
    2007
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    abstract boundary value problem
    symmetric operators
    Green formula
    Weyl function
    Opis:
    We study the abstract boundary value problem defined in terms of the Green identity and introduce the concept of Weyl operator function M(·) that agrees with other definitions found in the current literature. In typical cases of problems arising from the multidimensional partial equations of mathematical physics the function M(·) takes values in the set of unbounded densely defined operators acting on the auxiliary boundary space. Exact formulae are obtained and essential properties of M(·) are studied. In particular, we consider boundary problems defined by various boundary conditions and justify the well known procedure that reduces such problems to the "equation on the boundary" involving the Weyl function, prove an analogue of the Borg-Levinson theorem, and link our results to the classical theory of extensions of symmetric operators.
    Źródło:
    Opuscula Mathematica; 2007, 27, 2; 305-331
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Non-Symmetric Nash and Kalai–Smorodinsky Bargaining Solutions
    Autorzy:
    Gerchak, Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/375971.pdf
    Data publikacji:
    2015
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Nash bargaining solution
    Non-Symmetric
    Kalai–Smorodinsky Bargaining Solution
    supply chain coordination
    Opis:
    Recently, in some negotiation application areas, the usual assumption that negotiators are symmetric has been relaxed. In particular, weights have been introduced to the Nash Bargaining Solution to reflect the different powers of the players. Yet, we feel that operating with non-symmetric bargaining solutions and their implications is not well understood. We analyze the properties and optimization of the non-symmetric Nash Bargaining Solution and of a non-symmetric Kalai–Smorodinsky Bargaining Solution. We provide extensive comparative statics, then comment on the implications of the concepts in supply chain coordination contexts.
    Źródło:
    Decision Making in Manufacturing and Services; 2015, 9, 1; 55-61
    1896-8325
    2300-7087
    Pojawia się w:
    Decision Making in Manufacturing and Services
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices
    Autorzy:
    Malejki, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/255505.pdf
    Data publikacji:
    2010
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    symmetric unbounded Jacobi matrix
    block Jacobi matrix
    tridiagonal matrix
    point spectrum
    eigenvalue
    asymptotics
    Opis:
    The research included in the paper concerns a class of symmetric block Jacobi matrices. The problem of the approximation of eigenvalues for a class of a self-adjoint unbounded operators is considered. We estimate the joint error of approximation for the eigenvalues, numbered from 1 to N, for a Jacobi matrix J by the eigenvalues of the finite submatrix J(n) of order pn x pn, where N = max{k ∈ N : k ≤ rpn} and r ∈ (0, 1) is suitably chosen. We apply this result to obtain the asymptotics of the eigenvalues of J in the case p = 3.
    Źródło:
    Opuscula Mathematica; 2010, 30, 3; 311-330
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A parallel algorithm of icsym forcomplexsymmetric linear systems in quantum chemistry
    Autorzy:
    Zhang, Y.
    Lv, Q.
    Xiao, M.
    Xie, G.
    Breitkopf, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/305677.pdf
    Data publikacji:
    2018
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    complex symmetric linear systems
    parallel computing
    improved conjugate gradient-type iterative algorithm (ICSYM)
    Opis:
    Computational effort is a common issue for solving large-scale complex symmetric linear systems, particularly in quantum chemistry applications. In order to alleviate this problem, we propose a parallel algorithm of improved conjugate gradient-type iterative (ICSYM). Using three-term recurrence relation and or- thogonal properties of residual vectors to replace the tridiagonalization process of classical CSYM, which allows to decrease the degree of the reduce-operator from two to one communication at each iteration and to reduce the amount of vector updates and vector multiplications. Several numerical examples are implemented to show that high performance of proposed improved version is obtained both in convergent rate and in parallel efficiency.
    Źródło:
    Computer Science; 2018, 19 (4); 385-401
    1508-2806
    2300-7036
    Pojawia się w:
    Computer Science
    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:
    Symbolic approach to the general cubic decomposition of polynomial sequences. Results for several orthogonal and symmetric cases
    Autorzy:
    Mesquita, T. A.
    Rocha, Z. Da
    Powiązania:
    https://bibliotekanauki.pl/articles/255977.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    symmetric polynomials
    orthogonal polynomials
    cubic decomposition
    symbolic computations
    Mathematica 8.0.1.0.
    Opis:
    We deal with a symbolic approach to the cubic decomposition (CD) of polynomial sequences - presented in a previous article referenced herein - which allows us to compute explicitly the first elements of the nine component sequences of a CD. Properties are investigated and several experimental results are discussed, related to the CD of some widely known orthogonal sequences. Results concerning the symmetric character of the component sequences are established.
    Źródło:
    Opuscula Mathematica; 2012, 32, 4; 675-687
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Functional models for Nevanlinna families
    Autorzy:
    Behrndt, J.
    Hassi, S.
    Snoo, H. de
    Powiązania:
    https://bibliotekanauki.pl/articles/255065.pdf
    Data publikacji:
    2008
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    symmetric operator
    selfadjoint extension
    boundary relation
    Weyl family
    functional model
    reproducing kernel Hilbert space
    Opis:
    The class of Nevanlinna families consists of R-symmetric holomorphic multivalued functions on C \ R with maximal dissipative (maximal accumulative) values on C+ (C-, respectively) and is a generalization of the class of operator-valued Nevanlinna functions. In this note Nevanlinna families are realized as Weyl families of boundary relations induced by multiplication operators with the independent variable in reproducing kernel Hilbert spaces.
    Źródło:
    Opuscula Mathematica; 2008, 28, 3; 233-245
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    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:
    On some extensions of the a-model
    Autorzy:
    Jursenas, Rytis
    Powiązania:
    https://bibliotekanauki.pl/articles/255405.pdf
    Data publikacji:
    2020
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    finite rank higher order singular perturbation
    cascade (A) model
    peak model
    Hilbert space
    scale of Hilbert spaces
    Pontryagin space
    ordinary boundary triple
    Krein Q-function
    Weyl function
    gamma field
    symmetric operator
    proper extension
    resolvent
    Opis:
    The A-model for finite rank singular perturbations of class [formula], is considered from the perspective of boundary relations. Assuming further that the Hilbert spaces [formula] admit an orthogonal decomposition [formula], with the corresponding projections satisfying [formula], nontrivial extensions in the A-model are constructed for the symmetric restrictions in the subspaces.
    Źródło:
    Opuscula Mathematica; 2020, 40, 5; 569-597
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-10 z 10

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