Solutions to linear matrix equations and their applications:
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 m...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Les Ulis
EDP Sciences
[2023]
Les Ulis Science Press [2023] |
| Subjects: | |
| Online Access: | DE-1043 DE-1046 DE-858 DE-859 DE-860 DE-91 DE-20 DE-706 DE-739 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (VI, 184 Seiten) |
| ISBN: | 9782759831036 |
| DOI: | 10.1051/978-2-7598-3103-6 |
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| id | DE-604.BV049469089 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T23:16:17Z |
| indexdate | 2025-02-19T17:37:21Z |
| institution | BVB |
| isbn | 9782759831036 |
| language | English |
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| physical | 1 Online-Ressource (VI, 184 Seiten) |
| psigel | ZDB-23-DGG ZDB-23-DMA ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FCO_PDA_DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DMA TUM_Paketkauf_2023 ZDB-23-DMA UBW_Paketkauf ZDB-23-DGG UPA_PDA_DGG |
| publishDate | 2023 |
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| publisher | EDP Sciences Science Press |
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| spelling | Song, Caiqin Verfasser aut Solutions to linear matrix equations and their applications Caiqin Song Les Ulis EDP Sciences [2023] Les Ulis Science Press [2023] © 2023 1 Online-Ressource (VI, 184 Seiten) txt rdacontent c rdamedia cr rdacarrier 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 MATHEMATICS / Matrices bisacsh Erscheint auch als Druck-Ausgabe 978-2-7598-3102-9 https://doi.org/10.1051/978-2-7598-3103-6 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Song, Caiqin Solutions to linear matrix equations and their applications MATHEMATICS / Matrices bisacsh |
| title | Solutions to linear matrix equations and their applications |
| title_auth | Solutions to linear matrix equations and their applications |
| title_exact_search | Solutions to linear matrix equations and their applications |
| title_exact_search_txtP | Solutions to Linear Matrix Equations and Their Applications |
| title_full | Solutions to linear matrix equations and their applications Caiqin Song |
| title_fullStr | Solutions to linear matrix equations and their applications Caiqin Song |
| title_full_unstemmed | Solutions to linear matrix equations and their applications Caiqin Song |
| title_short | Solutions to linear matrix equations and their applications |
| title_sort | solutions to linear matrix equations and their applications |
| topic | MATHEMATICS / Matrices bisacsh |
| topic_facet | MATHEMATICS / Matrices |
| url | https://doi.org/10.1051/978-2-7598-3103-6 |
| work_keys_str_mv | AT songcaiqin solutionstolinearmatrixequationsandtheirapplications |