Polynomial Theory of Error Correcting Codes, Cancellieri, Giovanni

Автор: Maria Bras-Amor?s; Tom H?holdt
Название: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
ISBN: 3642021808 ISBN-13(EAN): 9783642021800
Издательство: Springer
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Описание: This book constitutes the refereed proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-18, held in Tarragona, Spain, in June 2009. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes;

Автор: Mora
Название: Solving Polynomial Equation Systems IV
ISBN: 1107109639 ISBN-13(EAN): 9781107109636
Издательство: Cambridge Academ
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Описание: In this fourth and final volume the author covers extensions of Buchberger`s Algorithm, including a discussion of the most promising recent alternatives to Groebner bases: Gerdt`s involutive bases and Faugere`s F4 and F5 algorithms. This completes the author`s comprehensive treatise, which is a fundamental reference for any mathematical library.

Автор: Mora
Название: Solving Polynomial Equation Systems III
ISBN: 0521811554 ISBN-13(EAN): 9780521811552
Издательство: Cambridge Academ
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Описание: This third volume of four describes all the most important techniques, mainly based on Groebner bases. It covers the `standard` solutions (Gianni-Kalkbrener, Auzinger-Stetter, Cardinal-Mourrain) as well as the more innovative (Lazard-Rouillier, Giusti-Heintz-Pardo). The author also explores the historical background, from Bezout to Macaulay.

Автор: Teo Mora
Название: Solving Polynomial Equation Systems I
ISBN: 0521811546 ISBN-13(EAN): 9780521811545
Издательство: Cambridge Academ
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Описание: Mora covers the classical theory of finding roots of a univariate polynomial, emphasising computational aspects. He shows that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials.