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ISSAC
1995
Springer
174views Mathematics» more  ISSAC 1995»
15 years 6 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
ISSAC
1995
Springer
125views Mathematics» more  ISSAC 1995»
15 years 6 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 6 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...
ISSAC
1995
Springer
155views Mathematics» more  ISSAC 1995»
15 years 6 months ago
On the Implementation of Dynamic Evaluation
Dynamic evaluation is a technique for producing multiple results according to a decision tree which evolves with program execution. Sometimes it is desired to produce results for ...
Peter A. Broadbery, T. Gómez-Díaz, S...
ISSAC
1995
Springer
108views Mathematics» more  ISSAC 1995»
15 years 6 months ago
A Solution to the Extended GCD Problem
An improved method for expressing the greatest common divisor of n numbers as an integer linear combination of the numbers is presented and analyzed, both theoretically and practi...
Bohdan S. Majewski, George Havas
Mathematics
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