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» Computing Tutte Polynomials
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132
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JSC
2008
162views more  JSC 2008»
15 years 2 months ago
Approximate factorization of multivariate polynomials using singular value decomposition
We describe the design, implementation and experimental evaluation of new algorithms for computing the approximate factorization of multivariate polynomials with complex coefficie...
Erich Kaltofen, John P. May, Zhengfeng Yang, Lihon...
COMBINATORICS
2004
106views more  COMBINATORICS 2004»
15 years 2 months ago
Random Matrices, Magic Squares and Matching Polynomials
Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretica...
Persi Diaconis, Alexander Gamburd
TRIER
2002
15 years 2 months ago
Polynomial Constants are Decidable
Constant propagation aims at identifying expressions that always yield a unique constant value at run-time. It is well-known that constant propagation is undecidable for programs w...
Markus Müller-Olm, Helmut Seidl
181
Voted
CASC
2011
Springer
262views Mathematics» more  CASC 2011»
14 years 2 months ago
Practical Divide-and-Conquer Algorithms for Polynomial Arithmetic
We investigate two practical divide-and-conquer style algorithms for univariate polynomial arithmetic. First we revisit an algorithm originally described by Brent and Kung for comp...
William Hart, Andrew Novocin
STOC
2010
ACM
204views Algorithms» more  STOC 2010»
15 years 12 months ago
On the Hardness of the Noncommutative Determinant
In this paper we study the computational complexity of computing the noncommutative determinant. We first consider the arithmetic circuit complexity of computing the noncommutativ...
Vikraman Arvind and Srikanth Srinivasan