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134
Voted
ISSAC
1995
Springer
174views Mathematics» more  ISSAC 1995»
15 years 3 months ago
Numerical Uniformization of Hyperelliptic Curves
Abstract. In this paper we derive an algorithm that computes, for a given algebraic hyperelliptic plane curve C of genus p, p > 1, defined by a polynomial y2 = (x−λ1) · · ...
Klaus-Dieter Semmler, Mika Seppälä
MPC
1995
Springer
150views Mathematics» more  MPC 1995»
15 years 3 months ago
Architecture Independent Massive Parallelization of Divide-and-Conquer Algorithms
Abstract. We present a strategy to develop, in a functional setting, correct, e cient and portable Divide-and-Conquer (DC) programs for massively parallel architectures. Starting f...
Klaus Achatz, Wolfram Schulte
MPC
1995
Springer
93views Mathematics» more  MPC 1995»
15 years 3 months ago
Extracting Programs with Exceptions in an Impredicative Type System
Abstract. This paper is about exceptions handling using classical techniques of program extraction. We propose an impredicative formalization in the calculus of constructions and w...
Jean-François Monin
109
Voted
ISSAC
1995
Springer
125views Mathematics» more  ISSAC 1995»
15 years 3 months ago
Numeric-Symbolic Algorithms for Evaluating One-Dimensional Algebraic Sets
: We present e cient algorithms based on a combination of numeric and symbolic techniques for evaluating one-dimensional algebraic sets in a subset of the real domain. Given a desc...
Shankar Krishnan, Dinesh Manocha
ISSAC
1995
Springer
119views Mathematics» more  ISSAC 1995»
15 years 3 months ago
The Singular Value Decomposition for Polynomial Systems
This paper introduces singular value decomposition (SVD) algorithms for some standard polynomial computations, in the case where the coefficients are inexact or imperfectly known....
Robert M. Corless, Patrizia M. Gianni, Barry M. Tr...
Mathematics
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