An iterative algorithm for the generalized reflexive solutions of the generalized coupled Sylvester matrix equations
From MaRDI portal
Publication:1760561
DOI10.1155/2012/152805zbMath1251.65063OpenAlexW1964081732WikidataQ58905765 ScholiaQ58905765MaRDI QIDQ1760561
Publication date: 15 November 2012
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/152805
Cites Work
- Finite iterative algorithms for solving generalized coupled Sylvester systems. I: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions
- Finite iterative algorithms for solving generalized coupled Sylvester systems. II: Two-sided and generalized coupled Sylvester matrix equations over reflexive solutions
- Finite iterative solutions to coupled Sylvester-conjugate matrix equations
- Iterative solutions to coupled Sylvester-conjugate matrix equations
- Closed-form solutions to Sylvester-conjugate matrix equations
- Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns
- Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
- Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra
- New matrix iterative methods for constraint solutions of the matrix equation \(AXB=C\)
- Least-squares solution with the minimum-norm for the matrix equation \((A\times B,G\times H) = (C,D)\)
- An iterative method for the symmetric and skew symmetric solutions of a linear matrix equation \(AXB+CYD=E\)
- An efficient algorithm for the least-squares reflexive solution of the matrix equation \(A_{1}XB_{1} = C_{1}, A_{2}XB_{2} = C_{2}\)
- On the symmetric solutions of linear matrix equations
- The generalized reflexive solution for a class of matrix equations \( (AX=B, XC=D)\)
- An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation
- The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices
- An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices
- Weighted least squares solutions to general coupled Sylvester matrix equations
- 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 \(AX=B\)
- The symmetric solution of the matrix equations \(AX+YA=C, AXA^ t+BYB^ t=C\), and \((A^ tXA, B^ tXB)=(C,D)\)
- The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
- A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
- Vector least-squares solutions for coupled singular matrix equations
- An iterative algorithm for solving a pair of matrix equations \(AYB=E\), \(CYD=F\) over generalized centro-symmetric matrices
- An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\)
- Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
- Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations
- Iterative least-squares solutions of coupled sylvester matrix equations
- The pseudoinverse of a centrosymmetric matrix
- On Iterative Solutions of General Coupled Matrix Equations
- On the reflexive and anti-reflexive solutions of the generalised coupled Sylvester matrix equations
- Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors
- Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
- Generalized Reflexive Matrices: Special Properties and Applications
- Kronecker Maps and Sylvester-Polynomial Matrix Equations
- Recursive blocked algorithms for solving triangular systems—Part I
- Recursive blocked algorithms for solving triangular systems—Part II
- The Inverse of a Centrosymmetric Matrix
- Solution of Equations Involving Centrosymmetric Matrices
