Extremal ranks of matrix expression of \(A - BXC\) with respect to Hermitian matrix

DOI10.1016/j.amc.2010.07.038zbMath1204.15006OpenAlexW2033897332MaRDI QIDQ606788

Ting-Zhu Huang, Wenbin Guo

Publication date: 18 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.07.038

zbMATH Keywords

Hermitian matrixminimal rankmaximal rankMoore-Penrose generalized inversesquotient singular value decomposition

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (5)

The minimal rank of \(A - BX\) with respect to Hermitian matrix ⋮ The minimal rank of matrix expressions with respect to Hermitian matrix-revised ⋮ A Hermitian least squares solution of the matrix equation \(AXB=C\) subject to inequality restrictions ⋮ The extremal ranks and inertias of matrix expressions with respect to generalized reflexive and anti-reflexive matrices with applications ⋮ Rank constrained matrix best approximation problem with respect to (skew) Hermitian matrices

Cites Work

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