Algorithms for Quadratic Matrix and Vector Equations
:
Federico Poloni
:
Algorithms for Quadratic Matrix and Vector Equations
:
Edizioni Della Normale
:
9788876423840
:
1
:
CHF 15.00
:
:
Arithmetik, Algebra
:
English
:
250
:
DRM
:
PC/MAC/eReader/Tablet
:
PDF
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.