An efficient algorithm for solving extended Sylvester-conjugate transpose matrix equations

DOI10.1016/j.ajmsc.2011.03.003zbMath1256.65037OpenAlexW2077198505MaRDI QIDQ642661

Caiqin Song, Guo-Liang Chen

Publication date: 27 October 2011

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2011.03.003

zbMATH Keywords

convergenceiterative algorithmnumerical examplereal representationspectral normextended Sylvester-conjugate transpose matrix equation

Mathematics Subject Classification ID

Related Items (9)

The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations ⋮ New proof of the gradient-based iterative algorithm for a complex conjugate and transpose matrix equation ⋮ The solutions of the quaternion matrix equation \(AX^\varepsilon + BX^\delta = 0\) ⋮ A finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using the linear operators ⋮ Uniqueness of solution of a generalized \(\star\)-Sylvester matrix equation ⋮ Iterative solutions of a set of matrix equations by using the hierarchical identification principle ⋮ Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester-conjugate matrix equations ⋮ On a transformation of the ∗-congruence Sylvester equation for the least squares optimization ⋮ The solution of the equationAX + BX^⋆ = 0

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