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ISSAC
1997
Springer
105views Mathematics» more  ISSAC 1997»
15 years 10 months ago
On Randomized Lanczos Algorithms
Las Vegas algorithms that are based on Lanczos’s method for solving symmetric linear systems are presented and analyzed. These are compared to a similar randomized Lanczos algor...
Wayne Eberly, Erich Kaltofen
ISSAC
1997
Springer
102views Mathematics» more  ISSAC 1997»
15 years 10 months ago
A Numerical Absolute Primality Test for Bivariate Polynomials
We give a new numerical absolute primality criterion for bivariate polynomials. This test is based on a simple property of the monomials appearing after a generic linear change of...
André Galligo, Stephen M. Watt
TPHOL
1993
IEEE
15 years 10 months ago
Some Theorems We Should Prove
Mathematical techniques can be used to produce precise, provably complete documentation for computer systems. However, such documents are highly detailed and oversights and other ...
David Lorge Parnas
ISSAC
1993
Springer
119views Mathematics» more  ISSAC 1993»
15 years 10 months ago
Finding all Hypergeometric Solutions of Linear Differential Equations
Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
Marko Petkovsek, Bruno Salvy
ISSAC
1994
Springer
119views Mathematics» more  ISSAC 1994»
15 years 10 months ago
Branch Cuts in Computer Algebra
Many standard functions, such as the logarithm and square root functions, cannot be de ned continuously on the complex plane. Mistaken assumptions about the properties of these fu...
Adam Dingle, Richard J. Fateman