Results 1 to 10 of about 169 (35)

Class of finite-dimensional matrices with diagonals that majorize their spectrum

open access: yesSpecial 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 access: yesOpen 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

On polynomial EPr matrices

open access: yesInternational 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

A recursive condition for the symmetric nonnegative inverse eigenvalue problem

open access: yesRevista 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   +1 more source

Weak group inverse

open access: yesOpen 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

Some results on the partial orderings of block matrices

open access: yesJournal 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  

Combinatorial aspects of generalized complementary basic matrices

open access: yesOpen Mathematics, 2013
Fiedler Miroslav, Hall Frank
doaj   +1 more source

New inclusion sets for singular values. [PDF]

open access: yesJ Inequal Appl, 2017
He J, Liu YM, Tian JK, Ren ZR.
europepmc   +1 more source

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