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Numerical polynomials relatively prime JSC 1998

โœ Scribed by Beckermann, Labahn.

Book ID
127399821
Tongue
English
Weight
90 KB
Category
Library

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๐Ÿ“œ SIMILAR VOLUMES

When are Two Numerical Polynomials Relat
When are Two Numerical Polynomials Relatively Prime?
โœ B. Beckermann; G. Labahn ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 426 KB

Let a and b be two polynomials having numerical coefficients. We consider the question: When are a and b relatively prime? Since the coefficients of a and b are approximant, the question is the same as: When are two polynomials relatively prime, even after small perturbations of the coefficients? I

Euclidean algorithm for numerical polyno
Euclidean algorithm for numerical polynomial GCD. JSC 1998
โœ Beckermann, Labahn. ๐Ÿ“‚ Library ๐ŸŒ English โš– 201 KB

In this paper we provide a taet, numerically stable algorithm to determine when two given polynomials a arid b are relatively prime and remain relatively prime even after small perturbations of their coefficients. Such a problem is important in ninny applications where input data are only available

A Fast and Numerically Stable Euclidean-
A Fast and Numerically Stable Euclidean-like Algorithm for Detecting Relatively Prime Numerical Polynomials
โœ B. Beckermann; G. Labahn ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 644 KB

In this paper we provide a fast, numerically stable algorithm to determine when two given polynomials a and b are relatively prime and remain relatively prime even after small perturbations of their coefficients. Such a problem is important in many applications where input data are only available up