Theses (Scuola Normale Superiore)

Algorithms for Quadratic Matrix and Vector Equations

Authors: Poloni, Federico

  • Contains a new unifying approach to quadratic vector and matrix equations in applied probability
  • Gives new insight on the structured doubling algorithm which can be exploited to develop suitable modifications and generalizations
  • Contains a variety of new research results which, as of today, are only available in articles or preprints
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eBook $14.99
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  • ISBN 978-88-7642-384-0
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price for USA
  • ISBN 978-88-7642-383-3
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About this book

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.

Table of contents (13 chapters)

  • Linear algebra preliminaries

    Poloni, Federico

    Pages 1-11

  • Quadratic vector equations

    Poloni, Federico

    Pages 15-29

  • A Perron vector iteration for QVEs

    Poloni, Federico

    Pages 31-45

  • Unilateral quadratic matrix equations

    Poloni, Federico

    Pages 47-54

  • Nonsymmetric algebraic Riccati equations

    Poloni, Federico

    Pages 55-78

Buy this book

eBook $14.99
price for USA (gross)
  • ISBN 978-88-7642-384-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $24.95
price for USA
  • ISBN 978-88-7642-383-3
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Algorithms for Quadratic Matrix and Vector Equations
Authors
Series Title
Theses (Scuola Normale Superiore)
Series Volume
16
Copyright
2011
Publisher
Edizioni della Normale
Copyright Holder
Scuola Normale Superiore Pisa
eBook ISBN
978-88-7642-384-0
DOI
10.1007/978-88-7642-384-0
Softcover ISBN
978-88-7642-383-3
Edition Number
1
Number of Pages
250
Topics