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Résumé

This book addresses both the basic and applied aspects of the finite iterative algorithm, CGLS iterative algorithm, and explicit algorithm to some linear matrix equations. The author presents the latest results in three parts: (1) We consider the finite iterative algorithm to the coupled transpose matrix equations and the coupled operator matrix equations with sub-matrix constrained. These two finite iterative algorithms are closely related and progressive. (2) We present MCGLS iterative algorithm for studying least squares problems to the generalized Sylvester-conjugate matrix equation, the generalized Sylvester-conjugate transpose matrix equation, and the coupled linear operator systems, respectively. (3) Compared with the previous two parts, we consider here the explicit solution to some linear matrix equations, which are the nonhomogeneous Yakubovich matrix equation, the nonhomogeneous Yakubovich transpose matrix equation, and the generalized Sylvester matrix equation, respectively. This book is intended for students, researchers, and professionals in the field of numerical algebra, linear matrix equations, nonlinear matrix equations, and control theory.

Auteur

  • Caiqin SONG (auteur)

    Caiqin SONG is an associate professor at University of Jinan. She received her PhD from East China Normal University in 2012. Her research focuses on the explicit method of linear matrix equations, the iterative algorithm of linear matrix equations, the explicit method of quaternion matrix equations, and problems on the semi-tensor product of matrix, etc. She is the author of more than 30 publications in international academic journals and has chaired national and provincial commissions of research funding programs.

Auteur(s) : Caiqin SONG

Caractéristiques

Editeur : EDP sciences

Auteur(s) : Caiqin SONG

Publication : 20 juillet 2023

Intérieur : Noir & blanc

Support(s) : Livre numérique eBook [PDF]

Contenu(s) : PDF

Protection(s) : Marquage social (PDF)

Taille(s) : 2,96 Mo (PDF)

Langue(s) : Anglais

Code(s) CLIL : 3052

EAN13 Livre numérique eBook [PDF] : 9782759831036

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