Results 51 to 60 of about 597 (98)
Bounds on the coefficients of the characteristic and minimal polynomials [PDF]
, 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
Non-commutative Callebaut inequality [PDF]
Linear Algebra Appl. 436 (2012), no. 9, 3347-3353, 2011 We present an operator version of the Callebaut inequality involving the interpolation paths and apply it to the weighted operator geometric means. We also establish a matrix version of the Callebaut inequality and as a consequence obtain an inequality including the Hadamard product of matrices.
arxiv +1 more source
, 2013 In this paper, we give a Heisenberg-type or a Schrödinger-type uncertainty relation for generalized metric adjusted skew information or generalized metric adjusted correlation measure.
K. Yanagi, S. Furuichi, K. Kuriyama
semanticscholar +1 more source
Quantum Uncertainty Based on Metric Adjusted Skew Information
, 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
On monotonicity-preserving perturbations of $M$-matrices [PDF]
arXiv, 2013 We obtain an explicit analytical sufficient condition on $E$ that ensures the monotonicity of the matrix $M+E$, where $M$ is an $M$-matrix.
arxiv
On some trace inequalities for positive definite Hermitian matrices
, 2014 Let A be a positive definite Hermitian matrix, we investigate the trace inequalities of A. By using the equivalence of the deformed matrix, according to some properties of positive definite Hermitian matrices and some elementary inequalities, we extend ...
Houqing Zhou
semanticscholar +1 more source
Some inequalities involving unitarily invariant norms
, 2012 This paper aims to present some inequalities for unitarily invariant norms. We first give inverses of Young and Heinz type inequalities for scalars. Then we use these inequalities to establish some inequalities for unitarily invariant norms.
Chuanjiang He, L. Zou
semanticscholar +1 more source
Notes and counterexamples on positive (semi) definite properties of some matrix products
Ain 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
An inequality for the trace of matrix products, using absolute values [PDF]
arXiv, 2011 The absolute value of matrices is used in order to give inequalities for the trace of products.
arxiv
Improvements in the upper bounds for the spread of a matrix
, 2015 In this paper, we present some new upper bounds for the spread of a matrix. These bounds improve the previous results. In addition, one of these bounds can be up to the optimum.
Pingping Zhang, Hu Yang
semanticscholar +1 more source