Matrix GPBiCG algorithms for solving the general coupled matrix equations

Linear matrix equations have important applications in control and system theory. In the study, we apply Kronecker product and vectorisation operator to extend the generalised product bi-conjugate gradient (GPBiCG) algorithms for solving the general coupled matrix equations ∑lj=1(A)i,1,jX1Bi,1,j+Ai,...

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Veröffentlicht in:	IET control theory & applications Jg. 9; H. 1; S. 74 - 81
1. Verfasser:	Hajarian, Masoud
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	The Institution of Engineering and Technology 02.01.2015
Schlagworte:	Algorithms conjugate gradient methods Control systems control theory coupled Markovian jump Lyapunov matrix equation general coupled matrix equations generalised product bi‐conjugate gradient generalised Sylvester matrix equation GPBiCG algorithm Joining Kronecker product linear matrix equations Markov processes Mathematical analysis Mathematical models matrix algebra Operators system theory Systems theory vectorisation operator conjugate gradient methods generalised Sylvester matrix equation control theory coupled Markovian jump Lyapunov matrix equation Kronecker product generalised product bi-conjugate gradient general coupled matrix equations linear matrix equations vectorisation operator matrix algebra GPBiCG algorithm system theory
ISSN:	1751-8644, 1751-8652
Online-Zugang:	Volltext
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