Interval Arithmetic in Cylindrical Algebraic Decomposition-Reference-Cited by-同舟云学术

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Interval Arithmetic in Cylindrical Algebraic Decomposition

Published:2002-08 Issue:2 Volume:34 Page:145-157
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Collins George E.,Johnson Jeremy R.,Krandick Werner

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference15 articles.

1. Theory of Approximation;Achieser,1956

2. Guaranteed solution formula construction;Brown,1999

3. Quantifier Elimination and Cylindrical Algebraic Decomposition;Caviness,1998

4. Quantifier elimination for the theory of real closed fields by cylindrical algebraic decomposition;Collins,1975

5. Polynomial real root isolation using Descartes’ rule of signs;Collins,1976

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1. Clustering Complex Zeros of Triangular Systems of Polynomials;Mathematics in Computer Science;2020-06-17

2. Counting polynomial roots in Isabelle/HOL: a formal proof of the Budan-Fourier theorem;Proceedings of the 8th ACM SIGPLAN International Conference on Certified Programs and Proofs - CPP 2019;2019

3. Continuous amortization and extensions: With applications to bisection-based root isolation;Journal of Symbolic Computation;2016-11

4. An improved star test for implicit polynomial objects;Computer-Aided Design;2016-01

5. From approximate factorization to root isolation with application to cylindrical algebraic decomposition;Journal of Symbolic Computation;2015-01

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