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Wyświetlanie 1-15 z 222
Tytuł:
Determination of eigenvalues and eigenvectors by means of iterations of subspaces
Autorzy:
Pokrzywa, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/747613.pdf
Data publikacji:
1985
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Eigenvalues, eigenvectors
Singular values
Opis:
.
Let A be a compact linear operator in a Banach space X. The author investigates the iterations of a given subspace M of X. He formulates sufficient conditions for the convergence (in the sense of the gap between subspaces). This result is applied to the study of spectra of operators.
Źródło:
Mathematica Applicanda; 1985, 12, 24
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convergence of formal solutions of first order singular nonlinear partial differential equations in the complex domain
Autorzy:
Miyake, Masatake
Shirai, Akira
Powiązania:
https://bibliotekanauki.pl/articles/1207974.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
singular equation
formal solution
Opis:
We study the convergence or divergence of formal (power series) solutions of first order nonlinear partial differential equations
   (SE) f(x,u,D_x u) = 0 with u(0)=0.
Here the function f(x,u,ξ) is defined and holomorphic in a neighbourhood of a point $(0,0,ξ^{0}) ∈ ℂ^{n}_{x} × ℂ_{u} × ℂ^{n}_{ξ} (ξ^{0} = D_{x}u(0))$ and $f(0,0,ξ^{0}) = 0$. The equation (SE) is said to be singular if f(0,0,ξ) ≡ 0 $(ξ ∈ ℂ^{n})$. The criterion of convergence of a formal solution $u(x) = ∑_{|α| ≥ 1} u_{α}x^{α}$ of (SE) is given by a generalized form of the Poincaré condition which depends on each formal solution. In the case where the formal solution diverges a precise rate of divergence or the formal Gevrey order is specified which can be interpreted in terms of the Newton polygon as in the case of linear equations but for nonlinear equations it depends on the individual formal solution.
Źródło:
Annales Polonici Mathematici; 2000, 74, 1; 215-228
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Signatura of magic and Latin integer squares: isentropic clans and indexing
Autorzy:
Cameron, Ian
Rogers, Adam
Loly, Peter
Powiązania:
https://bibliotekanauki.pl/articles/729830.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Shannon entropy
magic square
Latin square
singular value decomposition
singular value clan
Opis:
The 2010 study of the Shannon entropy of order nine Sudoku and Latin square matrices by Newton and DeSalvo [Proc. Roy. Soc. A 2010] is extended to natural magic and Latin squares up to order nine. We demonstrate that decimal and integer measures of the Singular Value sets, here named SV clans, are a powerful way of comparing different integer squares.
Several complete sets of magic and Latin squares are included, including the order eight Franklin subset which is of direct relevance to magic square line patterns on chess boards. While early examples suggested that lower rank specimens had lower entropy, sufficient data is presented to show that some full rank cases with low entropy possess a set of singular values separating into a dominant group with the remainder much weaker. An effective rank measure helps understand these issues.
We also introduce a new measure for integer squares based on the sum of the fourth powers of the singular values which appears to give a useful method of indexing both Latin and magic squares. This can be used to begin cataloging a "library" of magical squares.
Based on a video presentation in celebration of George Styan's 75th at LINSTAT2012 and IWMS-21 on 19 July, 2012 at Będlewo, Poland.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2013, 33, 1-2; 121-149
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Local Toeplitz operators based on wavelets: phase space patterns for rough wavelets
Autorzy:
Nowak, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/1287604.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
singular values
time-frequency localization
Opis:
We consider two standard group representations: one acting on functions by translations and dilations, the other by translations and modulations, and we study local Toeplitz operators based on them. Local Toeplitz operators are the averages of projection-valued functions $g ↦ P_{g,ϕ}$, where for a fixed function ϕ, $P_{g,ϕ}$ denotes the one-dimensional orthogonal projection on the function $U_gϕ$, U is a group representation and g is an element of the group. They are defined as integrals $ʃ_W P_{g,ϕ} dg$, where W is an open, relatively compact subset of a group. Our main result is a characterization of function spaces corresponding to local Toeplitz operators with pth power summable eigenvalues, 0 < p ≤ ∞.
Źródło:
Studia Mathematica; 1996, 119, 1; 37-64
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Weighted weak type (1,1) estimates for oscillatory singular integrals
Autorzy:
Sato, Shuichi
Powiązania:
https://bibliotekanauki.pl/articles/1206034.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
rough operators
oscillatory singular integrals
Opis:
We consider the $A_1$-weights and prove the weighted weak type (1,1) inequalities for certain oscillatory singular integrals.
Źródło:
Studia Mathematica; 2000, 141, 1; 1-24
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Strictly singular operators and the invariant subspace problem
Autorzy:
Read, C.
Powiązania:
https://bibliotekanauki.pl/articles/1217278.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
operator
invariant subspace
strictly singular
Opis:
Properties of strictly singular operators have recently become of topical interest because the work of Gowers and Maurey in [GM1] and [GM2] gives (among many other brilliant and surprising results, such as those in [G1] and [G2]) Banach spaces on which every continuous operator is of form λ I + S, where S is strictly singular. So if strictly singular operators had invariant subspaces, such spaces would have the property that all operators on them had invariant subspaces. However, in this paper we exhibit examples of strictly singular operators without nontrivial closed invariant subspaces. So, though it may be true that operators on the spaces of Gowers and Maurey have invariant subspaces, yet this cannot be because of a general result about strictly singular operators. The general assertion about strictly singular operators is false.
Źródło:
Studia Mathematica; 1999, 132, 3; 203-226
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Systems of Clairaut type
Autorzy:
Izumiya, Shyuichi
Powiązania:
https://bibliotekanauki.pl/articles/967256.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
singular solutions
complete solutions
Clairaut equation
Opis:
A characterization of systems of first order differential equations with (classical) complete solutions is given. Systems with (classical) complete solutions that consist of hyperplanes are also characterized.
Źródło:
Colloquium Mathematicum; 1993, 66, 2; 219-226
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Singular fractional discrete-time linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/206067.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
decomposition
singular
fractional
linear system
solution
Opis:
A new class of singular fractional linear discretetime systems is introduced. Using the Weierstrass regular pencil decomposition the solution to the state equation of singular fractional linear systems is derived. The considerations are illustrated by numerical examples.
Źródło:
Control and Cybernetics; 2011, 40, 3; 753-761
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computation of positive realizations of SISO singular hybrid linear systems
Autorzy:
Kaczorek, T.
Sajewski, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/385061.pdf
Data publikacji:
2009
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
hybrid linear systems
singular
positive
realization
Opis:
The realization problem for 2D positive singular linear hybrid systems is formulated, as well as a method based on the state variable diagram for finding a positive realization of a given improper transfer function is proposed. Sufficient conditions for the existence of a positive realization of a given improper transfer function are established. A procedure for computation of a positive realization is proposed and illustrated by a numerical example.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2009, 3, 2; 8-13
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Topological properties of spaces of linear operators on non-locally convex Orlicz spaces
Autorzy:
Oelke, Agnieszka
Powiązania:
https://bibliotekanauki.pl/articles/745952.pdf
Data publikacji:
2010
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Orlicz spaces
linear operators
singular operators
Opis:
We study the topological properties of the space \(\mathcal{L}(L^\varphi, X)\) of all continuous linear operators from an Orlicz space \(L^\varphi\) (an Orlicz function \(\varphi\) is not necessarily convex) to a Banach space \(X\). We provide the space \(\mathcal{L}(L^\varphi ,X)\) with the Banach space structure. Moreover, we examine the space \(\mathcal{L}_s (L^\varphi, X)\) of all singular operators from \(L^\varphi\) to \(X\).
Źródło:
Commentationes Mathematicae; 2010, 50, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On \(\ell_{q}\)-strictly singular operators on variable exponent spaces
Autorzy:
Buelga, Carlos
Hernandez, Francisco L.
Powiązania:
https://bibliotekanauki.pl/articles/746291.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Variable exponent spaces, strictly singular operators
Opis:
Strictly singular operators on variable exponent (or Nakano) function spaces \(L^{p\left(\cdot\right)}\) are characterized in terms of being \(\ell_{q}\)-strictly singular for the values \(q\) in the essential range \(R_{p\left(\cdot\right)}\) of the exponent function. This extends a result of L. Weiss [On perturbations of Fredholm operators in \(L_{p}\)-spaces, Proc. Amer. Math. Soc. 67 (1977), 287-292] for \(L^{p}\)-spaces.
Źródło:
Commentationes Mathematicae; 2015, 55, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Metamorphoses of resonance curves in systems of coupled oscillators
Autorzy:
Kyzioł, J.
Okniński, A.
Powiązania:
https://bibliotekanauki.pl/articles/279900.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
coupled oscillators
amplitude profiles
singular points
Opis:
We study dynamics of two coupled periodically driven oscillators in a general case and compare it with two simplified models. Periodic steady-state solutions to these system equations are determined within the Krylov-Bogoliubov-Mitropolsky approach. Amplitude profiles are computed. These two equations, each describing a surface, define a 3D curve – intersection of these surfaces. In the present paper, we analyse metamorphoses of amplitude profiles induced by changes of control parameters in three dynamical systems studied. It is shown that changes of the dynamics occur in the vicinity of singular points of these 3D curves.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 4; 1197-1204
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solutions of a class of singular linear systems of difference equations. Part 1
Autorzy:
Kanan, Asmaa M.
Powiązania:
https://bibliotekanauki.pl/articles/1030103.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Drazin inverse
Rank
Singular difference equations
Opis:
We extend results of Campbell, Meyer, Jr. and Rose of applications of the Drazine inverse to linear systems of differential equations with singular constant coefficients to solutions of linear systems of difference equations A x_(n+1)+B x_n= f_n ,n≥0 when A and B are m×m complex matrices and may both singular, under conditions that rank(A)=1 and trace of A is not equal zero. f_n is an arbitrary function in C^m, and x_n∈C^m. We give a new closed form for all solutions of those systems when they are tractable, using the theory of the Drazin inverse, and a matrix K∈C^(m×m).
Źródło:
World Scientific News; 2020, 143; 53-66
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of linear systems of differential equations with singular constant coefficients by the Drazin inverse of matrices
Autorzy:
Kanan, Asmaa M.
Hassan, Khadija
Powiązania:
https://bibliotekanauki.pl/articles/1046563.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Drazin inverse
Index
Singular differential equations
Opis:
Let A ,B be n×n matrices of complex numbers. Let G a vector-valued function of the real variable t. A and B may both be singular, rank(A) = 1, and the trac of A is not equal zero. The linear system of differential equations Ax^' (t)+Bx(t)=G(t) is studied using the Drazin inverse A^D of A, and a new matrix K∈C^(n×n). In this paper, we obtain a new closed form for the general solution of the differential system when the system is tractable.
Źródło:
World Scientific News; 2019, 137; 229-236
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive solutions to nonlinear singular second order boundary value problems
Autorzy:
Bonanno, Gabriele
Powiązania:
https://bibliotekanauki.pl/articles/1310938.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
singular boundary value problem
positive solution
Opis:
Existence theorems of positive solutions to a class of singular second order boundary value problems of the form y'' + f(x,y,y') = 0, 0 < x < 1, are established. It is not required that the function (x,y,z) → f(x,y,z) be nonincreasing in y and/or z, as is generally assumed. However, when (x,y,z) → f(x,y,z) is nonincreasing in y and z, some of O'Regan's results [J. Differential Equations 84 (1990), 228-251] are improved. The proofs of the main theorems are based on a fixed point theorem for weakly sequentially continuous operators.
Źródło:
Annales Polonici Mathematici; 1996, 64, 3; 237-251
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 222

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