Parallel algorithms for algebraic problems
SIAM Journal on Computing
Algorithms for computer algebra
Algorithms for computer algebra
The Habicht approach to subresultants
Journal of Symbolic Computation
Subresultants under composition
Journal of Symbolic Computation
Asymptotically fast computation of subresultants
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
A note on subresultants and the Lazard/Rioboo/Trager formula in rational function integration
Journal of Symbolic Computation
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The search for the maximum of a polynomial
Journal of Symbolic Computation
Modern computer algebra
Subresultants and Reduced Polynomial Remainder Sequences
Journal of the ACM (JACM)
On Euclid's Algorithm and the Computation of Polynomial Greatest Common Divisors
Journal of the ACM (JACM)
On Euclid's Algorithm and the Theory of Subresultants
Journal of the ACM (JACM)
The Calculation of Multivariate Polynomial Resultants
Journal of the ACM (JACM)
Fundamental problems of algorithmic algebra
Fundamental problems of algorithmic algebra
New structure theorem for subresultants
Journal of Symbolic Computation - Special issue on symbolic computation in algebra, analysis and geometry
The Subresultant PRS Algorithm
ACM Transactions on Mathematical Software (TOMS)
Sylvester—Habicht sequences and fast Cauchy index computation
Journal of Symbolic Computation
Polynomial Algorithms in Computer Algebra
Polynomial Algorithms in Computer Algebra
LATIN '00 Proceedings of the 4th Latin American Symposium on Theoretical Informatics
GCD of many integers (extended abstract)
COCOON'99 Proceedings of the 5th annual international conference on Computing and combinatorics
Exact, efficient, and complete arrangement computation for cubic curves
Computational Geometry: Theory and Applications
Implementing the cylindrical algebraic decomposition within the Coq system
Mathematical Structures in Computer Science
Lifting and recombination techniques for absolute factorization
Journal of Complexity
On the complexity of real solving bivariate systems
Proceedings of the 2007 international symposium on Symbolic and algebraic computation
Exact and efficient 2D-arrangements of arbitrary algebraic curves
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
Real Algebraic Numbers: Complexity Analysis and Experimentation
Reliable Implementation of Real Number Algorithms: Theory and Practice
On the asymptotic and practical complexity of solving bivariate systems over the reals
Journal of Symbolic Computation
Exact, efficient, and complete arrangement computation for cubic curves
Computational Geometry: Theory and Applications
Algebraic and numerical algorithms
Algorithms and theory of computation handbook
Proving formally the implementation of an efficient gcd algorithm for polynomials
IJCAR'06 Proceedings of the Third international joint conference on Automated Reasoning
Recursive polynomial remainder sequence and the nested subresultants
CASC'05 Proceedings of the 8th international conference on Computer Algebra in Scientific Computing
A new algorithmic scheme for computing characteristic sets
Journal of Symbolic Computation
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Subresultants and polynomial remainder sequences are an important tool in polynomial computer algebra. In this survey, we sketch the history, formalize a unified framework for the various notions, derive a number of results from the early 1970s within our framework, and report on implementations.