The inverse eigenproblem with a submatrix constraint and the associated approximation problem for \((R,S)\)-symmetric matrices
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Publication:396246
DOI10.1016/j.cam.2014.01.038zbMath1293.65060OpenAlexW2119591181MaRDI QIDQ396246
Bormin Huang, Ke Guo, Feng Yin, Guang-Xin Huang
Publication date: 8 August 2014
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.2014.01.038
Moore-Penrose inverse\((R,S)\)-symmetric matrixapproximation probleminverse eigenproblemleading principal submatrix
Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)
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Cites Work
- Unnamed Item
- Inverse eigenproblem for centrosymmetric and centroskew matrices and their approximation
- The solvability conditions for the inverse eigenvalue problems of reflexive matrices
- The solvability conditions for the inverse eigenproblems of symmetric and generalized centro-symmetric matrices and their approximations
- Constrained inverse eigenproblem and associated approximation problem for anti-Hermitian \(R\)-symmetric matrices
- The generalized reflexive solution for a class of matrix equations \( (AX=B, XC=D)\)
- The inverse eigenvalue problem of reflexive matrices with a submatrix constraint and its approximation
- The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices
- Generalized reflexive solutions of the matrix equation \(AXB=D\) and an associated optimal approximation problem
- The \((P,Q)\) generalized reflexive and anti-reflexive solutions of the matrix equation \(AX=B\)
- Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
- Backward perturbation analysis of certain characteristic subspaces
- The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
- Characterization and properties of matrices with generalized symmetry or skew symmetry.
- Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry.
- The solvability conditions for the inverse eigenvalue problems of centro-symmetric matrices
- Minimization problems for \((R,S)\)-symmetric and \((R,S)\)-skew symmetric matrices
- The pseudoinverse of a centrosymmetric matrix
- A class of constrained inverse eigenproblem and associated approximation problem for skew symmetric and centrosymmetric matrices
- Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors
- Designing the Hopfield neural network via pole assignment
- Generalized Reflexive Matrices: Special Properties and Applications
- Spectral Characterizations for Hermitian Centrosymmetric K-Matrices and Hermitian Skew-Centrosymmetric K-Matrices
- Characterization and Properties of (R,S)-Symmetric, (R,S)-Skew Symmetric, and (R,S)-Conjugate Matrices
- The Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation
- The solvability conditions for inverse eigenproblem of symmetric and anti‐persymmetric matrices and its approximation
- The Inverse of a Centrosymmetric Matrix
- Solution of Equations Involving Centrosymmetric Matrices