A Generalized HSS Iteration Method for Continuous Sylvester Equations
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
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On classes of matrices containing M-matrices and hermitian positive semidefinite matrices
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Phase retrieval using random cubatures and fusion frames of positive semidefinite matrices [PDF]
As a generalization of the standard phase retrieval problem,we seek to reconstruct symmetric rank- 1 matrices from inner products with subclasses of positive semidefinite matrices.
Kiraly, FJ, Ehler, M, Graef, M
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Singular value inequalities for matrices related to convex and concave functions
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
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Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices
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
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On rank estimation in semidefinite matrices [PDF]
This work concerns the problem of rank estimation in semidefinite matrices, having either indefinite or semidefinite matrix estimator satisfying a typical asymptotic normality condition.
Stephen G. Donald +2 more
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On ㏒ majorizations for positive semidefinite matrices [PDF]
C.-S. Lin, Yeol Je Cho
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Matrices With High Completely Positive Semidefinite Rank
A real symmetric matrix M is completely positive semidefinite if it admits a Gram representation by positive semidefinite matrices (of any size d ). The smallest such d is called the completely positive semidefinite rank of M , and it is an open question
de Laat, David +2 more
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Preconditioning by an extended matrix technique for convection-diffusion-reaction equations
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
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Properties of positive definite matrices and applications [PDF]
The purpose of this paper is to investigate the properties of positive definite matrices, and in some cases positive semidefinite matrices, and their applications. Chapter 1 introduces some general properties of positive definite matrices.
Nasari, Godson Y.
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