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Algorithms for quadratic matrix and vector equations: 16 (Tesi) - Tapa blanda

Poloni, Federico

 
9788876423833: Algorithms for quadratic matrix and vector equations: 16 (Tesi)

Sinopsis

This book is devoted to studying algorithms for the solution of a class of quadratic matrix and vector equations. 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.

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De la contraportada

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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