Results 11 to 20 of about 221 (44)
Fast iterative solutions of Riccati and Lyapunov equations
Open Mathematics, 2022 In this article, new iterative algorithms for solving the discrete Riccati and Lyapunov equations are derived in the case where the transition matrix is diagonalizable with real eigenvalues.
Assimakis Nicholas, Adam Maria
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Perturbation bounds for matrix functions
, 2020 In this article, we present some bounds for ||| f (A)− f (B)||| , where f is a real function and is continuously differentiable on an open interval J , |||·||| is a unitarily invariant norm, and A,B are Hermitian matrices such that the eigenvalues of A ...
M. Masoudi, A. Salemi
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Special Matrices, 2021 In the study of eigenvalues, multiplicities, and graphs, the minimum number of multiplicities equal to 1 in a real symmetric matrix with graph G, U(G), is an important constraint on the possible multiplicity lists among matrices in 𝒮(G).
Ding Wenxuan, Johnson Charles R.
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Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue
Special Matrices, 2020 Let A = [aij] be a real symmetric matrix. If f : (0, ∞) → [0, ∞) is a Bernstein function, a sufficient condition for the matrix [f (aij)] to have only one positive eigenvalue is presented.
Al-Saafin Doaa, Garloff Jürgen
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Skew-symmetric matrices related to the vector cross product in ℂ7
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Skew-symmetric matrices of order 7 defined through the 2-fold vector cross product in ℂ7, and other related matrices, are presented. More concretely, matrix properties, namely invertibility, nullspace, powers and index, are studied.
Beites P. D. +2 more
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On the spectral properties of a class of $H$-selfadjoint random matrices and the underlying combinatorics [PDF]
, 2013 An expansion of the Weyl function of a $H$-selfadjoint random matrix with one negative square is provided. It is shown that the coefficients converge to a certain generalization of Catlan numbers.
Pagacz, Patryk, Wojtylak, Michal
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Trace inequalities for positive semidefinite matrices
Discussiones Mathematicae - General Algebra and Applications, 2017 Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.
Choudhury Projesh Nath, Sivakumar K.C.
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On relationships between two linear subspaces and two orthogonal projectors
Special Matrices, 2019 Sum and intersection of linear subspaces in a vector space over a field are fundamental operations in linear algebra. The purpose of this survey paper is to give a comprehensive approach to the sums and intersections of two linear subspaces and their ...
Tian Yongge
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The inertia of the symmetric approximation for low-rank matrices [PDF]
, 2017 © 2017 Informa UK Limited, trading as Taylor & Francis Group In many areas of applied linear algebra, it is necessary to work with matrix approximations.
Casanellas Rius, Marta +2 more
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Special Matrices, 2017 We take as given a real symmetric matrix A, whose graph is a tree T, and the eigenvalues of A, with their multiplicities. Each edge of T may then be classified in one of four categories, based upon the change in multiplicity of a particular eigenvalue ...
Toyonaga Kenji, Johnson Charles R.
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