Chapter 10: Algebraic Algorithms (original) (raw)

Algebraic Algorithms

angel diaz

Chapman & Hall/CRC Applied Algorithms and Data Structures series, 1998

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A Rootfinding Algorithm for Polynomials and Secular Equations

Giuseppe Fiorentino

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Fast error-free algorithms for polynomial matrix computations

John Baras

29th IEEE Conference on Decision and Control, 1990

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A Survey on the Complexity of Solving Algebraic Systems

Ali Ayad

International Mathematical Forum, 2010

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Extensions of Faddeev's algorithms to polynomial matrices

Predrag Stanimirovic

2009

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Accelerated Solution of Multivariate Polynomial Systems of Equations

Bernard Mourrain

SIAM Journal on Computing, 2003

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Symbolic-numeric methods for solving polynomial equations and applications

Bernard Mourrain

Solving polynomial equations, 2005

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Algebraic and Numerical Algorithms

Elias Tsigaridas

Chapman & Hall/CRC Applied Algorithms and Data Structures series, 2009

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Algorithms for solving matrix polynomial equations of special form

Eugene Dulov

Journal of Applied Mathematics and Computing, 2000

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Efficient polynomial system solving by numerical methods

Carlos Alberto Beltran

Contemporary Mathematics, 2011

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Lecture Notes : "Topics in Algebraic Computation"

Raghu Teja Boggavarapu

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SINGULAR 2-2 – A Computer Algebra System for Polynomial Computations

H. Schönemann, Viktor Levandovskyy

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Fast and Backward Stable Computation of Roots of Polynomials

Raf Vandebril

SIAM Journal on Matrix Analysis and Applications, 2015

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Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations

Nicolas Courtois

Advances in Cryptology— …, 2000

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Development of symbolic algorithms for certain algebraic processes

Ali Abd Rahman

2007

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Asymptotic acceleration of solving multivariate polynomial systems of equations

Bernard Mourrain

Proceedings of the thirtieth annual ACM symposium on Theory of computing - STOC '98, 1998

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An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations

Winfried Auzinger

1986

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An Efficient Algorithm for the Complex Roots Problem

John Reif

Journal of Complexity, 1996

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Experimental implementation of more operations on algebraic numbers, possibly with the addition of numeric filters, and of robust operations on small polynomial systems

Elias Tsigaridas, Bernard Mourrain

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An algorithm to initialize the searchof solutions of polynomial systems

María Rodríguez-Álvarez

Computers & Mathematics with Applications, 2005

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The complexity and geometry of numerically solving polynomial systems

Michael Shub

2012

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Computer Algebra and Algebraic. Geometry—Achievements and Perspectives

Gert-Martin Greuel

Journal of Symbolic Computation, 2000

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Computer Algebra in Scientific Computing: 11th International Workshop, CASC 2009, Kobe, Japan, September 13-17, 2009, Proceedings

Evgenii Vorozhtsov

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Geometry of polynomials and root-finding via path-lifting

Myong-Hi Kim

Nonlinearity, 2018

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International symposium on symbolic and algebraic computation poster abstracts 2003

Olga Caprotti

ACM SIGSAM Bulletin, 2003

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Data Structures and Polynomial Equation Solving

Luis M Pardo

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Some Observations on Khovanskii's Matrix Methods for extracting Roots of Polynomials

James Mc Laughlin

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Fraction-free algorithms for linear and polynomial equations

Bobby Williams

ACM SIGSAM Bulletin, 1997

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Forward Stable Computation of Roots of Real Polynomials with Real Simple Roots

Ivan Slapnicar

Applied Mathematics & Information Sciences

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Efficient techniques for multipolynomial resultant algorithms

John Canny

1991

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On the choice of a multiplication algorithm for polynomials and polynomial matrices

Gennadi Malaschonok

Journal of Mathematical Sciences, 2010

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On multiplicities in polynomial system solving

Teo Mora

Transactions of the American Mathematical Society, 1996

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The PoSSo Library for Polynomial System Solving

Giuseppe Attardi

1995

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Computation of a specified root of a polynomial system of equations using eigenvectors

Bernard Mourrain

Linear Algebra and its Applications, 2000

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The research seminar on computer algebra in 2009-2010

Victor Edneral

Programming and Computer Software, 2011

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