Singular value inequalities for matrices related to convex and concave functions
Journal of Inequalities and ApplicationsIn 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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A permanent inequality for positive semidefinite matrices
, 2023 Vehbi Emrah Paksoy
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A sequential semidefinite programming method and an application in passive reduced-order modeling
, 2005 We consider the solution of nonlinear programs with nonlinear semidefiniteness constraints. The need for an efficient exploitation of the cone of positive semidefinite matrices makes the solution of such nonlinear semidefinite programs more complicated ...
Freund, Roland W. +2 more
core
New fiber and graph combinations of convex bodies
Mathematika, Volume 71, Issue 4, October 2025.Abstract Three new combinations of convex bodies are introduced and studied: the Lp$L_p$ fiber, Lp$L_p$ chord, and graph combinations. These combinations are defined in terms of the fibers and graphs of pairs of convex bodies, and each operation generalizes the classical Steiner symmetral, albeit in different ways.
Steven Hoehner, Sudan Xing
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A note on "Remarks on some inequalities for positive semidefinite matrices and questions for Bourin" [PDF]
, 2019 Jianguo Zhao, Qi Jiang
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On semidefinite representations of plane quartics
, 2008 This note focuses on the problem of representing convex sets as projections of the cone of positive semidefinite matrices, in the particular case of sets generated by bivariate polynomials of degree four.
Henrion, Didier
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Monotonicity of positive semidefinite Hermitian matrices [PDF]
, 1972 Russell Merris, Stephen Pierce
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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
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Eigenvalue equalities for ordinary and Hadamard products of powers of positive semidefinite matrices
, 2007 Che‐Man Cheng +2 more
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Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank
, 2008 Silvère Bonnabel, Rodolphe Sepulchre
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