Numerical solutions of AXB = C for centrosymmetric matrix X under a specified submatrix constraint
From MaRDI portal
Publication:2897408
DOI10.1002/nla.771zbMath1249.65082OpenAlexW2019448677MaRDI QIDQ2897408
Jiao-Fen Li, Xi-Yan Hu, Lei Zhang
Publication date: 10 July 2012
Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nla.771
algorithmnumerical experimentsiterative methodperturbation analysismatrix equationsubmatrix constraintcentrosymmetric matrixleast square problem
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10)
Related Items
Iterative algorithms for least-squares solutions of a quaternion matrix equation, A hybrid algorithm for solving minimization problem over (R,S)-symmetric matrices with the matrix inequality constraint, Developing the CGLS algorithm for the least squares solutions of the general coupled matrix equations, Perturbation analysis for the QX factorization for centrosymmetric matrices
Cites Work
- Unnamed Item
- Numerical solutions of \(AXB = C\) for mirrorsymmetric matrix \(X\) under a specified submatrix constraint
- On the determination of a tridiagonal matrix from its spectrum and a submatrix
- Inverse problems for symmetric matrices with a submatrix constraint
- The submatrix constraint problem of matrix equation \(AXB+CYD=E\)
- On the reducibility of centrosymmetric matices - applications in engineering problems
- Optimal matrix approximants in structural identification
- Perturbation analysis of the canonical correlations of matrix pairs
- Constructing Jacobi matrices with prescribed ordered defective eigenpairs and a principal submatrix
- Linear matrix equations from an inverse problem of vibration theory
- Construction of real antisymmetric and bi-antisymmetric matrices with prescribed spectrum data
- A minimal residual algorithm for the inconsistent matrix equation \(AXB = C\) over symmetric matrices
- The expansion problem of anti-symmetric matrix under a linear constraint and the optimal approximation
- Least squares solutions to \(AX = B\) for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation
- The nearness problems for symmetric matrix with a submatrix constraint
- Computationally efficient maximum likelihood estimation of structured covariance matrices
- Least-squares solutions of matrix inverse problem for bi-symmetric matrices with a submatrix constraint
- The inverse problem of bisymmetric matrices with a submatrix constraint
- Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors
- Computing the Generalized Singular Value Decomposition
- The structure of weighting coefficient matrices of harmonic differential quadrature and its applications
- The Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation
- Explicit Solutions of Linear Matrix Equations
- The nearness problems for symmetric centrosymmetric with a special submatrix constraint