Results 121 to 130 of about 41,020 (249)

Binary positive semidefinite matrices and associated integer polytopes [PDF]

, 2010
Adam N. Letchford, Michael M. Sørensen
openalex   +1 more source

Some inequalities for unitarily invariant norms of matrices

Journal of Inequalities and Applications, 2011
This article aims to discuss inequalities involving unitarily invariant norms. We obtain a refinement of the inequality shown by Zhan. Meanwhile, we give an improvement of the inequality presented by Bhatia and Kittaneh for the Hilbert-Schmidt norm ...
Wang Shaoheng, Zou Limin, Jiang Youyi
doaj  

Trace inequalities for positive semidefinite matrices with centrosymmetric structure [PDF]

, 2012
Di Zhao, Hongyi Li, Zhiguo Gong
openalex   +1 more source

Positive semi-definite matrices, exponential convexity for multiplicative majorization and related means of Cauchy's type

Journal of Numerical Analysis and Approximation Theory, 2010
In this paper, we obtain new results concerning the generalizations of additive and multiplicative majorizations by means of exponential convexity. We prove positive semi-definiteness of matrices generated by differences deduced from majorization type ...
Naveed Latif, Josip Pečarić
doaj   +2 more sources

Singular value inequalities for matrices related to convex and concave functions

Journal of Inequalities and Applications
In this note, we give several singular value inequalities involving convex and concave functions, which can be considered as generalizations of Al-Natoor et al.’s results (J. Math. Inequal. 17:581–589, 2023).
Shengyan Ma, Lihong Hu, Xiaohui Fu
doaj   +1 more source

Positive semidefinite quadratic forms on unitary matrices

Linear Algebra and its Applications, 2010
AbstractLetf(x1,…,xn)=∑i,j=1nαijxixj,aij=aji∈Rbe a real quadratic form such that the trace of the Hermitian matrixf(V1,…,Vn):=∑i,j=1nαijVi∗Vjis nonnegative for all unitary 2n×2n matrices V1,…,Vn. We prove that f(U1,…,Un) is positive semidefinite for all unitary matrices U1,…,Un of arbitrary size m×m.
openaire   +2 more sources

A Norm Compression Inequality for Block Partitioned Positive Semidefinite Matrices

, 2005
Koenraad M. R. Audenaert
openalex   +3 more sources

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

Open Mathematics
This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras, Rashid Mohammad Hussein Mohammad   +1 more
doaj   +1 more source

A Generalized HSS Iteration Method for Continuous Sylvester Equations

Journal of Applied Mathematics, 2014
Based on the Hermitian and skew-Hermitian splitting (HSS) iteration technique, we establish a generalized HSS (GHSS) iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and positive definite/semidefinite matrices ...
Xu Li, Yu-Jiang Wu, Ai-Li Yang, Jin-Yun Yuan   +3 more
doaj   +1 more source

Semidefinite geometry of the numerical range

, 2008
The numerical range of a matrix is studied geometrically via the cone of positive semidefinite matrices (or semidefinite cone for short). In particular it is shown that the feasible set of a two-dimensional linear matrix inequality (LMI), an affine ...
Henrion, Didier
core   +1 more source