Results 11 to 20 of about 100 (73)

Matrix measure and application to stability of matrices and interval dynamical systems

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 75-85, 2003., 2003
Using some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended.
Ziad Zahreddine
wiley   +1 more source

The almost semimonotone matrices

Special Matrices, 2019
A (strictly) semimonotone matrix A ∈ ℝn×n is such that for every nonzero vector x ∈ ℝn with nonnegative entries, there is an index k such that xk > 0 and (Ax)k is nonnegative (positive).
Wendler Megan
doaj   +1 more source

Subdirect sums of nonsingular M-matrices and of their inverses

, 2005
The question of when the subdirect sum of two nonsingular M -matrices is a nonsingular M -matrix is studied. Su cient conditions are given. The case of inverses of M -matrices is also studied.
R. Bru, F. Pedroche, D. Szyld
semanticscholar   +1 more source

The Dittert′s function on a set of nonnegative matrices

International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 709-716, 1990., 1990
Let Kn denote the set of all n × n nonnegative matrices with entry sum n. For X ∈ Kn with row sum vector (r1, …, rn), column sum vector (c1, …, cn), Let ϕ(X)=∏iri+∏jcj−perX. Dittert′s conjecture asserts that ϕ(X) ≤ 2 − n!/nn for all X ∈ Kn with equality iff X = [1/n]n×n. This paper investigates some properties of a certain subclass of Kn related to the
Suk Geun Hwang, Mun-Gu Sohn, Si-Ju Kim
wiley   +1 more source

New error bounds for linear complementarity problems of Σ-SDD matrices and SB-matrices

Open Mathematics, 2019
A new error bound for the linear complementarity problem (LCP) of Σ-SDD matrices is given, which depends only on the entries of the involved matrices. Numerical examples are given to show that the new bound is better than that provided by García-Esnaola ...
Hou Zhiwu, Jing Xia, Gao Lei
doaj   +1 more source

Reverses and variations of Young's inequalities with Kantorovich constant

, 2016
In this paper, we obtain some improved Young and Heinz inequalities and the reverse versions for scalars and matrices with Kantorovich constant, equipped with the Hilbert-Schmidt norm, and then we present the corresponding interpolations of recent ...
Haisong Cao, Junliang Wu
semanticscholar   +1 more source

Some new bounds on the minimum eigenvalue of nonsingular M-matrices

, 2015
If A is a nonsingular M -matrix, some new upper and lower bounds on the minimum eigenvalue τ(A) of A are given. These bounds improve some results of Tian and Huang and are more accurate than Li et al. in some cases. In addition, we obtain some new bounds
Zhengge Huang, Zhong Xu
semanticscholar   +1 more source

A note on regularity of LTI singular systems

, 2014
In this note, we give a counter example to show that, in generally, the criterion for regularity of linear singular system that be exposed in [1], i.e. Theorem 3.3 page 62, is not true.
Yulian Sari, Doni Xaverius, Muhafzan
semanticscholar   +1 more source

A polynomial time spectral decomposition test for certain classes of inverse M-matrices

, 1998
The primary result in this paper is a set of O(n) time algorithms to determine whether a speci ed real, symmetric matrix is a member of any of several closely related classes: the MMA-matrices; the inverse MMA-matrices; the strictly positive, positive de
Jeffrey L. Stuart
semanticscholar   +1 more source

ON THE INVARIANT FACES ASSOCIATED WITH A CONE-PRESERVING MAP [PDF]

, 1998
For an n×n nonnegative matrix P , an isomorphism is obtained between the lattice of initial subsets (of {1, · · · , n}) for P and the lattice of P -invariant faces of the nonnegative orthant R+.
B. Tam, H. Schneider
semanticscholar   +1 more source