Structured Matrix Based Methods for Approximate Polynomial GCD (Publications of the Scuola Normale Superiore, 15) - Softcover
Synopsis
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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From the Back Cover
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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Structured Matrix Based Methods for Approximate Polynomial GCD (Paperback)
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Birkhauser Verlag AG, Pisa, 2011
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Paperback. Condition: new. Paperback. 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. Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9788876423802
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Condition: New. Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation. This book focuses on this point of view and analyses the structure of the relevant matrices, such as Toeplitz, Toepliz-block and displacement structures. Series: Publications of the Scuola Normale Superiore. Num Pages: 250 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 240 x 168 x 15. Weight in Grams: 408. . 2011. Paperback. . . . . Seller Inventory # V9788876423802
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Condition: New. Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation. This book focuses on this point of view and analyses the structure of the relevant matrices, such as Toeplitz, Toepliz-block and displacement structures. Series: Publications of the Scuola Normale Superiore. Num Pages: 250 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 240 x 168 x 15. Weight in Grams: 408. . 2011. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9788876423802