Structured Matrix Based Methods for Approximate Polynomial GCD (Publications of the Scuola Normale Superiore, 15, Band 15) - Softcover

Boito, Paola

 
9788876423802: Structured Matrix Based Methods for Approximate Polynomial GCD (Publications of the Scuola Normale Superiore, 15, Band 15)
Softcover
ISBN 10: 887642380X ISBN 13: 9788876423802
Verlag: Edizioni della Normale, 2011

Inhaltsangabe

Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation. The first part of this book reviews the main results that have been proposed so far in the literature. As usual with polynomial computations, the polynomial GCD problem can be expressed in matrix form: the second part of the book focuses on this point of view and analyses the structure of the relevant matrices, such as Toeplitz, Toepliz-block and displacement structures. New algorithms for the computation of approximate polynomial GCD are presented, along with extensive numerical tests. The use of matrix structure allows, in particular, to lower the asymptotic computational cost from cubic to quadratic order with respect to polynomial degree.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation. The first part of this book reviews the main results that have been proposed so far in the literature. As usual with polynomial computations, the polynomial GCD problem can be expressed in matrix form: the second part of the book focuses on this point of view and analyses the structure of the relevant matrices, such as Toeplitz, Toepliz-block and displacement structures. New algorithms for the computation of approximate polynomial GCD are presented, along with extensive numerical tests. The use of matrix structure allows, in particular, to lower the asymptotic computational cost from cubic to quadratic order with respect to polynomial degree.

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Verlag
Edizioni della Normale
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
887642380X
ISBN 13 
9788876423802
Einband
Taschenbuch
Anzahl der Seiten
250
Kontakt zum Hersteller
Springer-Verlag GmbH
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