Real iterative algorithms for a common solution to the complex conjugate matrix equation system

DOI10.1016/j.amc.2015.07.105zbMath1410.15032OpenAlexW1705025049MaRDI QIDQ670806

Xue Peng, Xiao-Xia Guo

Publication date: 20 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.105

zbMATH Keywords

solutionreal representationfinite iterationcomplex matrix equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Cites Work

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• Finite iterative algorithms for extended Sylvester-conjugate matrix equations
• Finite iterative algorithms for a common solution to a group of complex matrix equations
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• A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
• Singular value and generalized singular value decompositions and the solution of linear matrix equations
• Stability and inertia theorems for generalized Lyapunov equations
• On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
• A finite iterative method for solving a pair of linear matrix equations \((AXB,CXD)=(E,F)\)
• Assigning controllability and observability Gramians in feedback control
• A representation of the general common solution to the matrix equations \(A_1XB_1=C_1\) and \(A_2XB_2=C_2\) with applications

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