Results 41 to 50 of about 213 (116)

∗‐π‐Reversible ∗‐Semirings and Their Applications to Generalized Inverses

Journal of Mathematics, Volume 2024, Issue 1, 2024.
We introduce and study a new class of ∗‐semirings which is called ∗‐π‐reversible ∗‐semirings. A ∗‐semiring R is said to be ∗‐π‐reversible if for any a, b ∈ R, ab = 0 implies there exist two positive integers m and n such that bman∗=0. Some characterizations and examples of this class of semirings are given. As applications, generalized inverses related
Yuanfan Zhuo, Qinqin Gu, Huadong Su
wiley   +1 more source

A center of a polytope: An expository review and a parallel implementation

, 1993
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 209-224, 1993.
S. K. Sen, Hongwei Du, D. W. Fausett
wiley   +1 more source

On a new generalized inverse for Hilbert space operators

, 2021
Using the Moore-Penrose inverse and the core-EP inverse, we define a new generalized inverse (called the MPCEP inverse) for a Hilbert space operator. Several equivalent conditions for a Hilbert space operator to be the MPCEP inverse are presented.
Chen, Jianlong, Xu, Sanzhang, Mosić, Dijana   +2 more
core  

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
doaj   +1 more source

A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay

, 2013
This paper addresses a mean square exponential stability problem for a class of switched stochastic systems with time-varying delay. The time delay is any continuous function belonging to a given interval, but not necessary differentiable.
M. Rajchakit, P. Niamsup, G. Rajchakit
semanticscholar   +1 more source

Basic Operations on Supertropical Quadratic Forms

Documenta Mathematica, 2017
In the case that a module V over a (commutative) supertropical semiring R is free, the R-module Quad(V ) of all quadratic forms on V is almost never a free module.
Z. Izhakian, Manfred Knebusch
semanticscholar   +1 more source

EP Elements in Rings and in Semigroups with Involution and in C*-algebras [PDF]

, 2015
This work includes a survey of most of the results concerning EP elements in semigroups and rings with involution and in C*-algebras. 2010 Mathematics Subject Classification: Primary 46L05, 46J05, 46H05, 46H30, 47A05, 47A53, 47A60, 15A09, 15A33, 16A28 ...
Karanasios, Sotirios
core  

Full column rank preservers that preserve semipositivity of matrices

Special Matrices, 2018
Left invertibility preservers on Mm,n(ℝ), m ≥ n, that preserve either semipositivity of matrices or the subset of minimally semipositive matrices are studied. We prove that such maps cannot be degenerate.
Arumugasamy Chandrashekaran, Jayaraman Sachindranath   +1 more
doaj   +1 more source

Note on traces of matrix products involving inverses of positive definite ones

, 2018
This short note is devoted to the analysis of the trace of a product of two matrices in the case where one of them is the inverse of a given positive definite matrix while the other is nonnegative definite.
A. Grzybowski
semanticscholar   +1 more source

A matrix approach to compare BLUEs under a linear regression model and its two competing restricted models with applications

Demonstratio Mathematica
Suppose that a weakly singular linear regression model M{\mathscr{M}} and its two competing restricted models M1{{\mathscr{M}}}_{1} and M2{{\mathscr{M}}}_{2} are given.
Ren Xingwei
doaj   +1 more source