Results 81 to 90 of about 1,468 (179)

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

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

More inequalities for positive semidefinite matrices

The Electronic Journal of Linear Algebra
In this paper, we first present a necessary and sufficient condition for a class of block matrices to be positive semidefinite. Second, we demonstrate the significance of a known inequality (as presented in [5]) through a norm inequality. Finally, utilizing the polar decomposition, we provide a functional version of a singular value inequality.
Feng Zhang, Hefang Jing
openaire   +1 more source

Preconditioning by an extended matrix technique for convection-diffusion-reaction equations

Journal of Numerical Analysis and Approximation Theory, 2008
In this paper we consider a preconditioning technique for the ill-conditioned systems arising from discretisations of nonsymmetric elliptic boundary value problems.
Aurelian Nicola, Constantin Popa
doaj   +2 more sources

TRACE INEQUALITIES OF POSITIVE SEMIDEFINITE MATRICES

, 2006
In this paper, the trace inequalities involving special products of the positive semidefinite matrices are investigated. The trace inequalities between the Kronecker product and Kronecker sum of two matrices is obtained as in the short note Yang’s inequalities.
ÖZEL, Mustafa, BULUT, Hamza, ŞAFAK, Süleyman, ÇEVEN, Yılmaz   +3 more
openaire   +2 more sources

Inequalities Involving Hadamard Products of Positive Semidefinite Matrices

Journal of Mathematical Analysis and Applications, 2000
This paper is an extension of two inequalities. An inequality established by \textit{G. P. H. Styan} [Linear Algebra Appl. 6, 217-240 (1973; Zbl 0255.15002)] is on the Hadamard product and a correlation matrix. An inequality obtained by \textit{B. Wang} and \textit{F. Zhang} [Linear Multilinear Algebra 43, No.
openaire   +1 more source

On classes of matrices containing M-matrices and hermitian positive semidefinite matrices

Linear Algebra and its Applications, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Sparsifying Sums of Positive Semidefinite Matrices

In this paper, we revisit spectral sparsification for sums of arbitrary positive semidefinite (PSD) matrices. Concretely, for any collection of PSD matrices $\mathcal{A} = \{A_1, A_2, \ldots, A_r\} \subset \mathbb{R}^{n \times n}$, given any subset $T \subseteq [r]$, our goal is to find sparse weights $μ\in \mathbb{R}_{\geq 0}^r$ such that $(1 - ε ...
Basu, Arpon, Kothari, Pravesh K., Liu, Yang P., Meka, Raghu   +3 more
openaire   +2 more sources

On ㏒ majorizations for positive semidefinite matrices [PDF]

Mathematical Inequalities & Applications, 2013
C.-S. Lin, Yeol Je Cho
openaire   +1 more source

Secrecy Rate Maximization for Movable Antenna-Aided STAR-RIS in Integrated Sensing and Communication Systems. [PDF]

Entropy (Basel)
Chen G, Wang G, Wang J, Zhao D, Wang C, Jin T, Zhou Z.   +6 more
europepmc   +1 more source