Least squares solutions with special structure to the linear matrix equation \(AXB = C\)
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Publication:555426
DOI10.1016/j.amc.2011.04.081zbMath1230.15010OpenAlexW2045112455MaRDI QIDQ555426
Fengxia Zhang, Jianli Zhao, Ying Li, Wenbin Guo
Publication date: 22 July 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.081
generalized inverseleast squares solutionlinear matrix equationminimal rankmaximal rankmatrix rank method
Related Items (7)
An efficient method for least-squares problem of the quaternion matrix equationX-AX̂B=C ⋮ A unified treatment for the restricted solutions of the matrix equation \(AXB=C\) ⋮ On the Kronecker products and their applications ⋮ Stationary splitting iterative methods for the matrix equation \(AXB=C\) ⋮ A study of inverse problems based on two kinds of special matrix equations in Euclidean space ⋮ The Jacobi and Gauss-Seidel-type iteration methods for the matrix equation \(A X B = C\) ⋮ An iteration method for solving the linear system \(Ax=b\)
Cites Work
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- Some properties of submatrices in a solution to the matrix equation \(AXB=C\) with applications
- Ranks of least squares solutions of the matrix equation \(AXB=C\)
- Generalized reflexive solutions of the matrix equation \(AXB=D\) and an associated optimal approximation problem
- The minimal rank of the matrix expression \(A-BX-YC\)
- Growth curve models and statistical diagnostics
- An iterative method for the least squares symmetric solution of the linear matrix equation \(AXB = C\)
- The least extremal solution of the operator equation \(AXB=C\)
- Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
- Extremal Ranks of Some Symmetric Matrix Expressions with Applications
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