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Algorithms for quadratic matrix and vector equations
This book is devoted to studying algorithms for the solution of a class of quadratic matrix and vector equations. These equations appear, in different forms, in several practical applications, especially in applied probability and control theory. The equations are first presented using a novel unify...
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Lenguaje: | eng |
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Springer
2011
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Acceso en línea: | https://dx.doi.org/10.1007/978-88-7642-384-0 http://cds.cern.ch/record/2023644 |
_version_ | 1780947112910913536 |
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author | Poloni, Federico |
author_facet | Poloni, Federico |
author_sort | Poloni, Federico |
collection | CERN |
description | This book is devoted to studying algorithms for the solution of a class of quadratic matrix and vector equations. These equations appear, in different forms, in several practical applications, especially in applied probability and control theory. The equations are first presented using a novel unifying approach; then, specific numerical methods are presented for the cases most relevant for applications, and new algorithms and theoretical results developed by the author are presented. The book focuses on “matrix multiplication-rich” iterations such as cyclic reduction and the structured doubling algorithm (SDA) and contains a variety of new research results which, as of today, are only available in articles or preprints. |
id | cern-2023644 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2011 |
publisher | Springer |
record_format | invenio |
spelling | cern-20236442021-04-21T20:12:17Zdoi:10.1007/978-88-7642-384-0http://cds.cern.ch/record/2023644engPoloni, FedericoAlgorithms for quadratic matrix and vector equationsMathematical Physics and MathematicsThis book is devoted to studying algorithms for the solution of a class of quadratic matrix and vector equations. These equations appear, in different forms, in several practical applications, especially in applied probability and control theory. The equations are first presented using a novel unifying approach; then, specific numerical methods are presented for the cases most relevant for applications, and new algorithms and theoretical results developed by the author are presented. The book focuses on “matrix multiplication-rich” iterations such as cyclic reduction and the structured doubling algorithm (SDA) and contains a variety of new research results which, as of today, are only available in articles or preprints.Springeroai:cds.cern.ch:20236442011 |
spellingShingle | Mathematical Physics and Mathematics Poloni, Federico Algorithms for quadratic matrix and vector equations |
title | Algorithms for quadratic matrix and vector equations |
title_full | Algorithms for quadratic matrix and vector equations |
title_fullStr | Algorithms for quadratic matrix and vector equations |
title_full_unstemmed | Algorithms for quadratic matrix and vector equations |
title_short | Algorithms for quadratic matrix and vector equations |
title_sort | algorithms for quadratic matrix and vector equations |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-88-7642-384-0 http://cds.cern.ch/record/2023644 |
work_keys_str_mv | AT polonifederico algorithmsforquadraticmatrixandvectorequations |