Results 1 to 10 of about 221 (60)
An iterative algorithm for the generalized reflexive solutions of the general coupled matrix equations [PDF]
Journal of Inequalities and Applications, 2013 The general coupled matrix equations ∑j=1qAijXjBij=Mi,i=1,2,…,p (including the generalized coupled Sylvester matrix equations as special cases) have numerous applications in control and system theory.
Feng Yin, Guang-Xin Huang, Ke Guo
core +3 more sources
A recursive condition for the symmetric nonnegative inverse eigenvalue problem
Revista Integración, 2017 In this paper we present a sufficient ondition and a necessary condition for Symmetri Nonnegative Inverse Eigenvalue Problem. This condition is independent of the existing realizability criteria.
Elvis Ronald Valero +2 more
doaj +2 more sources
Some results on the partial orderings of block matrices
Journal of Inequalities and Applications, 2011 Some results relating to the block matrix partial orderings and the submatrix partial orderings are given. Special attention is paid to the star ordering of a sum of two matrices and the minus ordering of matrix product. Several equivalent conditions for
Liu Xifu, Yang Hu
doaj +2 more sources
On some trace inequalities for positive definite Hermitian matrices
Journal of Inequalities and Applications, 2014 Let A be a positive definite Hermitian matrix, we investigate the trace inequalities of A. By using the equivalence of the deformed matrix, according to some properties of positive definite Hermitian matrices and some elementary inequalities, we extend ...
Houqing Zhou
semanticscholar +2 more sources
Class of finite-dimensional matrices with diagonals that majorize their spectrum
Special Matrices, 2023 We define a special class of finite-dimensional matrices for which the diagonal majorizes the spectrum. This is the first class of matrices known to have this property, although the reverse majorization (i.e., the spectrum majorizing the diagonal) was ...
Uhlmann Jeffrey
doaj +1 more source
The core inverse and constrained matrix approximation problem
Open Mathematics, 2020 In this article, we study the constrained matrix approximation problem in the Frobenius norm by using the core inverse:||Mx−b||F=minsubjecttox∈ℛ(M),||Mx-b|{|}_{F}=\hspace{.25em}\min \hspace{1em}\text{subject}\hspace{.25em}\text{to}\hspace{1em}x\in ...
Wang Hongxing, Zhang Xiaoyan
doaj +1 more source
Generalized Finite Algorithms for Constructing Hermitian Matrices with Prescribed Diagonal and Spectrum [PDF]
, 2005 In this paper, we present new algorithms that can replace the diagonal entries of a Hermitian matrix by any set of diagonal entries that majorize the original set without altering the eigenvalues of the matrix.
Dhillon, Inderjit S. +3 more
core +2 more sources
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 261-266, 1992., 1992 This paper gives a characterization of EPr‐λ‐matrices. Necessary and sufficient conditions are determined for (i) the Moore‐Penrose inverse of an EPr‐λ‐matrix to be an EPr‐λ‐matrix and (ii) Moore‐Penrose inverse of the product of EPr‐λ‐matrices to be an EPr‐λ‐matrix.
Ar. Meenakshi, N. Anandam
wiley +1 more source
Dimension of the intersection of a pair of orthogonal groups [PDF]
, 2009 Let $g,h\colon V\times V\rightarrow mathbb{C}$ be two non-degenerate symmetric bilinear forms on a finite-dimensional complex vector space $V$. Let $G$ (resp.\ $H$) be the Lie group of isometries of $g$ (resp.\ $h$).
Song, Seok-Zun +4 more
core +1 more source
Open Mathematics, 2018 In this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties.
Wang Hongxing, Chen Jianlong
doaj +1 more source