A survey on rank and inertia optimization problems of the matrix-valued function \(A+BXB^\ast\)

DOI10.3934/naco.2015.5.289zbMath1327.15007OpenAlexW2524750890MaRDI QIDQ494274

Yongge Tian

Publication date: 31 August 2015

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2015.5.289

zbMATH Keywords

optimizationinequalityrankinertiaLöwner partial orderingMoore-Penrose inverseequalitymatrix-valued function

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Numerical methods for variational inequalities and related problems (65K15)

Related Items (5)

Solutions of a constrained Hermitian matrix-valued function optimization problem with applications ⋮ Quadratic properties of least-squares solutions of linear matrix equations with statistical applications ⋮ Rank/inertia approaches to weighted least-squares solutions of linear matrix equations ⋮ Rank constrained matrix best approximation problem with respect to (skew) Hermitian matrices ⋮ Matrix rank/inertia formulas for least-squares solutions with statistical applications

Cites Work

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