A sequential semidefinite programming method and an application in passive reduced-order modeling
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
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Eigenvalue equalities for ordinary and Hadamard products of powers of positive semidefinite matrices
Che‐Man Cheng+2 more
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Riemannian Metric and Geometric Mean for Positive Semidefinite Matrices of Fixed Rank
Silvère Bonnabel, Rodolphe Sepulchre
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On classes of matrices containing M-matrices and hermitian positive semidefinite matrices
AbstractTwo new classes of matrices are introduced, containing hermitian positive semi-definite matrices and M-matrices. The relation to other well-known classes such as ω and τ-matrices and weakly sign symmetric matrices is examined, and invariance properties are shown.
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Maximizing products of linear forms, and the permanent of positive semidefinite matrices [PDF]
Chenyang Yuan, Pablo A. Parrilo
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Hermitian positive semidefinite matrices whose entries are 0 or 1 in Modulus∗ [PDF]
Daniel Hershkowitz+2 more
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Two determinantal inequalities for positive semidefinite matrices [PDF]
Yan Hong, Feng Qi
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Extremal Positive Semidefinite Matrices for Graphs without $K_5$ Minors
Liam Solus+2 more
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Singular Values of Differences of Positive Semidefinite Matrices [PDF]
Xingzhi Zhan
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