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Titlebook: Solving Polynomial Equations; Foundations, Algorit Manuel Bronstein,Arjeh M. Cohen,Ioannis Z. Emiris Textbook 2005 Springer-Verlag Berlin H

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发表于 2025-3-21 19:13:48 | 显示全部楼层 |阅读模式
书目名称Solving Polynomial Equations
副标题Foundations, Algorit
编辑Manuel Bronstein,Arjeh M. Cohen,Ioannis Z. Emiris
视频video
概述Useful collection of much presented hot topics in computational algebra
丛书名称Algorithms and Computation in Mathematics
图书封面Titlebook: Solving Polynomial Equations; Foundations, Algorit Manuel Bronstein,Arjeh M. Cohen,Ioannis Z. Emiris Textbook 2005 Springer-Verlag Berlin H
描述The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as algebra, geometry, topology, and numerical analysis. In recent years, an explosive - velopment of algorithms and software has made it possible to solve many problems which had been intractable up to then and greatly expanded the areas of applications to include robotics, machine vision, signal processing, structural molecular biology, computer-aided design and geometric modelling, as well as certain areas of statistics, optimization and game theory, and b- logical networks. At the same time, symbolic computation has proved to be an invaluable tool for experimentation and conjecture in pure mathematics. As a consequence, the interest in e?ective algebraic geometry and computer algebrahasextendedwellbeyonditsoriginalconstituencyofpureandapplied mathematicians and computer scientists, to encompass many other scientists and engineers. While the core of the subject remains algebraic geometry,
出版日期Textbook 2005
关键词algorithm; algorithms; complexity; computer algebra; polynomial; robotics; statistics; system solving
版次1
doihttps://doi.org/10.1007/b138957
isbn_softcover978-3-642-06361-9
isbn_ebook978-3-540-27357-8Series ISSN 1431-1550
issn_series 1431-1550
copyrightSpringer-Verlag Berlin Heidelberg 2005
The information of publication is updating

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https://doi.org/10.1007/b138957algorithm; algorithms; complexity; computer algebra; polynomial; robotics; statistics; system solving
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Manuel Bronstein,Arjeh M. Cohen,Ioannis Z. EmirisUseful collection of much presented hot topics in computational algebra
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Introduction to residues and resultants,on Systems of Polynomial Equations held in Buenos Aires, Argentina, in July 2003. We present an elementary introduction to residues and resultants and outline some of their multivariate generalizations. Throughout we emphasize the application of these ideas to polynomial system solving.
发表于 2025-3-22 19:02:52 | 显示全部楼层
Solving equations via algebras,teresting linear maps whose eigenvalues, eigenvectors, and characteristic polynomials can be used to solve systems of polynomial equations. We will also discuss applications to resultants, factorization, primary decomposition, and Galois theory.
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Introduction to residues and resultants,on Systems of Polynomial Equations held in Buenos Aires, Argentina, in July 2003. We present an elementary introduction to residues and resultants and outline some of their multivariate generalizations. Throughout we emphasize the application of these ideas to polynomial system solving.
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