Results 41 to 50 of about 790 (92)
, 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
, 2000 Abstract and Applied Analysis, Volume 5, Issue 3, Page 137-146, 2000.
Anatolij I. Perov
wiley +1 more source
A note on the formulas for the Drazin inverse of the sum of two matrices
Open Mathematics, 2019 In this paper we derive the formula of (P + Q)D under the conditions Q(P + Q)P(P + Q) = 0, P(P + Q)P(P + Q) = 0 and QPQ2 = 0. Then, a corollary is given which satisfies the conditions (P + Q)P(P + Q) = 0 and QPQ2 = 0. Meanwhile, we show that the additive
Liu Xin, Yang Xiaoying, Wang Yaqiang
doaj +1 more source
The existence and expressions of the inverse along operators B and C
, 2018 For given A,B,C ∈B(H ) , if there exists X ∈B(H ) such that XAB = B , CAX =C , R(X) = R(B) and R(X∗) = R(C∗), then A is called (B,C) -invertible and X is called the (B,C) -inverse of A .
Chunyan Deng, Ruf ng Liu
semanticscholar +1 more source
∗‐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
Demonstratio MathematicaGiven a square matrix AA, we are able to construct numerous equalities involving reasonable mixed operations of AA and its conjugate transpose A∗{A}^{\ast }, Moore-Penrose inverse A†{A}^{\dagger } and group inverse A#{A}^{\#}. Such kind of equalities can
Tian Yongge
doaj +1 more source
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.
doaj +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
M-matrix and inverse M-matrix extensions
Special Matrices, 2020 A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a
McDonald J.J. +6 more
doaj +1 more source
An algebraic model for the propagation of errors in matrix calculus
Special Matrices, 2020 We assume that every element of a matrix has a small, individual error, and model it by an external number, which is the sum of a nonstandard real number and a neutrix, the latter being a convex (external) additive group.
Van Tran Nam, van den Berg Imme
doaj +1 more source