Results 31 to 40 of about 486 (86)
A convergence analysis of SOR iterative methods for linear systems with weak H-matrices
Open Mathematics, 2016 It is well known that SOR iterative methods are convergent for linear systems, whose coefficient matrices are strictly or irreducibly diagonally dominant matrices and strong H-matrices (whose comparison matrices are nonsingular M-matrices).
Zhang Cheng-yi +2 more
doaj +1 more source
The new reverses of Young type inequalities for numbers, operators and matrices
, 2018 In this note, we give reverses of Young inequality for numbers. Then we establish operator and matrix inequalities corresponding the obtained numerical inequalities. Mathematics subject classification (2010): 47A30, 15A42, 15A60.
Leila Nasiri, Wenshi Liao
semanticscholar +1 more source
Two new eigenvalue localization sets for tensors and theirs applications
Open Mathematics, 2017 A new eigenvalue localization set for tensors is given and proved to be tighter than those presented by Qi (J. Symbolic Comput., 2005, 40, 1302-1324) and Li et al. (Numer. Linear Algebra Appl., 2014, 21, 39-50).
Zhao Jianxing, Sang Caili
doaj +1 more source
Two inequalities for the Hadamard product of matrices
Journal of Inequalities and Applications, 2012 Using a estimate on the Perron root of the nonnegative matrix in terms of paths in the associated directed graph, two new upper bounds for the Hadamard product of matrices are proposed.
Linlin Zhao
semanticscholar +2 more sources
Changes in signature induced by the Lyapunov mapping LA : X → AX + XAA±
, 1989 International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 503-506, 1989.
Tyler Haynes
wiley +1 more source
Inequalities related to Heinz and Heron means
, 2013 We present a matrix inequality related to Heinz and Heron means, and show that it is a refinement of some improved Heinz inequalities for matrices. Mathematics subject classification (2010): 15A15, 15A42, 15A60.
L. Zou
semanticscholar +1 more source
An asymptotically tight bound on the Q-index of graphs with forbidden cycles [PDF]
, 2014 Let G be a graph of order n and let q(G) be that largest eigenvalue of the signless Laplacian of G.
Nikiforov, V.
core +2 more sources
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
Equality in Wielandt's eigenvalue inequality
, 2015 In this paper we give necessary and sufficient conditions for the equality case in Wielandt's eigenvalue inequality.Comment: 6 pages, few typos are ...
Friedland, Shmuel
core +2 more sources
Some inequalities for powers of positive definite matrices
, 2017 Mathematics subject classification (2010): 15A18, 15A42, 15A45, 15A60, 26C10. Keywords and phrases: Convex function, Hermitian matrix, positive semidefinite matrix, positive definite matrix, singular value, unitarily invariant norm.
Ata Abu s'ad, O. Hirzallah
semanticscholar +1 more source