Computing with polynomials given by straight-line programs I: greatest common divisors
STOC '85 Proceedings of the seventeenth annual ACM symposium on Theory of computing
Greatest common divisors of polynomials given by straight-line programs
Journal of the ACM (JACM)
A deterministic algorithm for sparse multivariate polynomial interpolation
STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
Interpolating polynomials from their values
Journal of Symbolic Computation - Special issue on computational algebraic complexity
Fast parallel algorithms for sparse multivariate polynomial interpolation over finite fields
SIAM Journal on Computing
Modular rational sparse multivariate polynomial interpolation
ISSAC '90 Proceedings of the international symposium on Symbolic and algebraic computation
On fast multiplication of polynomials over arbitrary algebras
Acta Informatica
&egr;-discrepancy sets and their application for interpolation of sparse polynomials
Information Processing Letters
Randomized Interpolation and Approximationof Sparse Polynomials
SIAM Journal on Computing
Modern computer algebra
When Polynomial Equation Systems Can Be "Solved" Fast?
AAECC-11 Proceedings of the 11th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Improved Sparse Multivariate Polynomial Interpolation Algorithms
ISAAC '88 Proceedings of the International Symposium ISSAC'88 on Symbolic and Algebraic Computation
Probabilistic algorithms for sparse polynomials
EUROSAM '79 Proceedings of the International Symposiumon on Symbolic and Algebraic Computation
Early termination in sparse interpolation algorithms
Journal of Symbolic Computation - Special issue: International symposium on symbolic and algebraic computation (ISSAC 2002)
Algorithms for computing sparsest shifts of polynomials in power, Chebyshev, and Pochhammer bases
Journal of Symbolic Computation - Special issue: International symposium on symbolic and algebraic computation (ISSAC 2002)
Symbolic-numeric sparse interpolation of multivariate polynomials
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Proceedings of the thirty-ninth annual ACM symposium on Theory of computing
Change of order for regular chains in positive dimension
Theoretical Computer Science
The matching problem for bipartite graphs with polynomially bounded permanents is in NC
SFCS '87 Proceedings of the 28th Annual Symposium on Foundations of Computer Science
Proceedings of the 4th International Workshop on Parallel and Symbolic Computation
A local decision test for sparse polynomials
Information Processing Letters
Diversification improves interpolation
Proceedings of the 36th international symposium on Symbolic and algebraic computation
Supersparse black box rational function interpolation
Proceedings of the 36th international symposium on Symbolic and algebraic computation
On the bit-complexity of sparse polynomial and series multiplication
Journal of Symbolic Computation
Extracting sparse factors from multivariate integral polynomials
Journal of Symbolic Computation
Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation
Structured FFT and TFT: symmetric and lattice polynomials
Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation
On Enumerating Monomials and Other Combinatorial Structures by Polynomial Interpolation
Theory of Computing Systems
Recursive sparse interpolation
ACM Communications in Computer Algebra
Hi-index | 5.23 |
We give an algorithm for the interpolation of a polynomial A given by a straight-line program. Its complexity is polynomial in @t,log(d),L,n, where @t is an input bound on the number of terms in A, d is a bound on its partial degree in all variables, L is the length of the given straight-line program and n is the number of variables.