Results 21 to 30 of about 331 (39)

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  

Bounds on the coefficients of the characteristic and minimal polynomials [PDF]

open access: yes, 2007
This note presents absolute bounds on the size of the coefficients of the characteristic and minimal polynomials depending on the size of the coefficients of the associated matrix.
Dumas, Jean-Guillaume
core   +5 more sources

Quantum Uncertainty Based on Metric Adjusted Skew Information

open access: yes, 2018
Prompted by the open questions in Gibilisco [Int. J. Software Informatics, 8(3-4): 265, 2014], in which he introduced a family of measurement-induced quantum uncertainty measures via metric adjusted skew informations, we investigate these measures ...
Cai, Liang
core   +1 more source

Notes and counterexamples on positive (semi) definite properties of some matrix products

open access: yesAin Shams Engineering Journal, 2018
In the present paper, we give some notes and counterexamples to show that the positive (semi) definite property of the Khatri-Rao and Tracy-Singh products of partitioned matrices are in general incorrect and show also that the matrix triangle inequality ...
Zeyad Al-Zhour
doaj  

A generalization of a trace inequality for positive definite matrices

open access: yes, 2010
In this note we generalize the trace inequality derived by [1] to the case where the number of terms of the sum (denoted by K) is ...
Belmega, E. V.   +2 more
core   +2 more sources

M-matrices satisfy Newton's inequalities

open access: yes, 2005
Newton's inequalities $c_n^2 \ge c_{n-1}c_{n+1}$ are shown to hold for the normalized coefficients $c_n$ of the characteristic polynomial of any $M$- or inverse $M$-matrix.
Holtz, Olga
core   +1 more source

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