The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Subresultants and Reduced Polynomial Remainder Sequences
Journal of the ACM (JACM)
The Subresultant PRS Algorithm
ACM Transactions on Mathematical Software (TOMS)
On integer-to-rational conversion algorithm
ACM SIGSAM Bulletin
A generalization of the binary GCD algorithm
ISSAC '93 Proceedings of the 1993 international symposium on Symbolic and algebraic computation
On a modular algorithm for computing GCDs of polynomials over algebraic number fields
ISSAC '94 Proceedings of the international symposium on Symbolic and algebraic computation
The accelerated integer GCD algorithm
ACM Transactions on Mathematical Software (TOMS)
A modular algorithm for computing greatest common right divisors of Ore polynomials
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
Construction of Hyperelliptic Curves with CM and Its Application to Cryptosystems
ASIACRYPT '00 Proceedings of the 6th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Maximal quotient rational reconstruction: an almost optimal algorithm for rational reconstruction
ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
Algorithms for polynomial GCD computation over algebraic function fields
ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
P-adic reconstruction of rational numbers
ACM SIGSAM Bulletin
Solving sparse rational linear systems
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Fast rational function reconstruction
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Algorithms for solving linear systems over cyclotomic fields
Journal of Symbolic Computation
Implementing data parallel rational multiple-residue arithmetic in eden
CASC'10 Proceedings of the 12th international conference on Computer algebra in scientific computing
Solving Very Sparse Rational Systems of Equations
ACM Transactions on Mathematical Software (TOMS)
Exact solutions to linear systems of equations using output sensitive lifting
ACM Communications in Computer Algebra
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Partial fractions is an important algebraic operation with many applications in applied mathematics, physics and engineering. It is also an important operation in any computer symbolic and algebraic system. Among other things, it is used in the integration algorithm.