ENGLISH

Algorithms for Quadratic Matrix and Vector Equations (Publications of the Scuola Normale Superiore, 16)

Book information

Publisher
Edizioni della Normale
Year
2011
ISBN
8876423834, 9788876423833
Language
english
Format
DJVU
Filesize
2 MB (1933219 bytes)
Edition
2011
Pages
250\241
DPI
600
Time added
2024-08-03 14:45:10

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.

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