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264499006
Structured Matrix Based Methods for Approximate Polynomial Gcd: 15
Item #:
264499006
XAF 58190
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New algorithms for the computation of approximate polynomial GCD are presented, along with extensive numerical tests.
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- 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. Daha fazla göster
| Yayıncı | Edizioni Della Normale |
| Yayınlanma Tarihi | 12 Temmuz 2011 |
| Baskı | 2011. |
| Dil | İngilizce |
| Baskı Uzunluğu | 250 sayfa |
| ISBN-10 | 9788876423802 |
| ISBN-13 | 978-8876423802 |
| Boyutlar | 14.99 x 1.52 x 23.62 cm |
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Structured Matrix Based Methods for Approximate Polynomial Gcd: 15
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XAF 58190
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Features & Benefits
- Comprehensive review of polynomial GCD problem literature.
- Focus on the matrix form representation of the problem.
- Analysis of specific matrix structures: Toeplitz, Toepliz-block, and displacement.
- Introduction of innovative algorithms for approximate polynomial GCD.
- Significant reduction in asymptotic computational cost from cubic to quadratic.
- Extensive numerical tests validate the effectiveness of the new algorithms.
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