Results 101 to 110 of about 41,274 (203)

Semidefinite Programming Approaches to Hankel Matrix Approximation and Completion via Primal–Dual Interior-Point Methods

open access: yesJournal of Mathematics
Data completion techniques offer numerous advantages in various fields. However, completing large datasets that must satisfy specific criteria can be challenging, necessitating the use of approximative completion methods.
Hajar A. Alshaikh   +2 more
doaj   +1 more source

Operational Choices for Risk Aggregation in Insurance: PSDization and SCR Sensitivity

open access: yesRisks, 2018
This work addresses crucial questions about the robustness of the PSDization process for applications in insurance. PSDization refers to the process that forces a matrix to become positive semidefinite.
Xavier Milhaud   +2 more
doaj   +1 more source

Positive Semidefinite Metric Learning with Boosting

open access: yes, 2009
The learning of appropriate distance metrics is a critical problem in image classification and retrieval. In this work, we propose a boosting-based technique, termed \BoostMetric, for learning a Mahalanobis distance metric.
Hengel, Anton van den   +3 more
core  

Weighted Algebraic Connectivity Maximization for Optical Satellite Networks

open access: yesIEEE Access, 2017
In this paper, the topology configuration methods for heterogeneous optical satellite networks are investigated. Our objectives are to maximize weighted algebraic connectivity with respect to both network initialization and reconfiguration scenarios ...
Yongxing Zheng   +5 more
doaj   +1 more source

Some inequalities for unitarily invariant norms of matrices

open access: yesJournal 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  

A Generalized HSS Iteration Method for Continuous Sylvester Equations

open access: yesJournal 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   +3 more
doaj   +1 more source

Semidefinite code bounds based on quadruple distances

open access: yes, 2010
Let $A(n,d)$ be the maximum number of $0,1$ words of length $n$, any two having Hamming distance at least $d$. We prove $A(20,8)=256$, which implies that the quadruply shortened Golay code is optimal.
Gijswijt, Dion C.   +2 more
core   +2 more sources

On permanents of positive semidefinite matrices

open access: yesLinear Algebra and its Applications, 1985
Let A and B be positive semidefinite real symmetric matrices. Using properties of tensor products, \textit{T. Ando} [Hokkaido Math. J. 10, Special Issue, 10, No.1, 18-36 (1981; Zbl 0484.15006)] proved that \(per(A+B)\geq per A+per B\). In this paper, it is shown that the Binet- Cauchy formula for the permanent of a product of matrices can also be used ...
openaire   +1 more source

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

open access: yesOpen 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   +1 more
doaj   +1 more source

Singular value inequalities for matrices related to convex and concave functions

open access: yesJournal 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

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