Rank constrained matrix best approximation problem with respect to (skew) Hermitian matrices

DOI10.1016/j.cam.2016.12.029zbMath1360.65126OpenAlexW2568671951MaRDI QIDQ515752

Hongxing Wang, Wen Li, Xifu Liu

Publication date: 16 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.12.029

zbMATH Keywords

singular value decompositionHermitian matricesFrobenius normmatrix approximation(skew) Hermitian solutionsrank constrained matrixskew-Hermitian matrices

Mathematics Subject Classification ID

Related Items (4)

Dissipativity analysis for generalized neural networks with Markovian jump parameters and time-varying delay ⋮ Minimum rank positive semidefinite solution to the matrix approximation problem in the spectral norm ⋮ Minimum rank Hermitian solution to the matrix approximation problem in the spectral norm and its application ⋮ Least squares solutions to the rank-constrained matrix approximation problem in the Frobenius norm

Uses Software

• SLRA

Cites Work

• Unnamed Item
• 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
• On the low-rank approximation arising in the generalized Karhunen-Loeve transform
• A survey on rank and inertia optimization problems of the matrix-valued function \(A+BXB^\ast\)
• Extremal ranks of matrix expression of \(A - BXC\) with respect to Hermitian matrix
• Low rank approximation. Algorithms, implementation, applications
• The Hermitian solution of \(A X A^* = B\) subject to \(CXC^{*} \geq D\)
• Rank constrained matrix best approximation problem
• Ranks of Hermitian and skew-Hermitian solutions to the matrix equation \(AXA^*=B\)
• Projection filter, Wiener filter, and Karhunen-Loève subspaces in digital image restoration
• A generalization of the Eckart-Young-Mirsky matrix approximation theorem
• Linear matrix equations from an inverse problem of vibration theory
• Software for weighted structured low-rank approximation
• Minimum rank (skew) Hermitian solutions to the matrix approximation problem in the spectral norm
• On generalized matrix approximation problem in the spectral norm
• The variation of the spectrum of a normal matrix
• On least squares solutions subject to a rank restriction
• The Hermitian and nonnegative definite solutions of AX=B subject to CXC^* ≥ D
• On rank-constrained Hermitian nonnegative-definite least squares solutions to the matrix equationAXA^H=B
• The Smallest Perturbation of a Submatrix which Lowers the Rank and Constrained Total Least Squares Problems
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Minimum Rank Solutions to the Matrix Approximation Problems in the Spectral Norm
• Generalized Rank-Constrained Matrix Approximations
• A Generalized Karhunen–Loeve Basis for Efficient Estimation of Tropospheric RefractivityUsing Radar Clutter
• Hermitian‐type generalized singular value decomposition with applications

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