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SIAMNUM
2010
87views more  SIAMNUM 2010»
13 years 2 months ago
A Note on the Computation of All Zeros of Simple Quaternionic Polynomials
Polynomials with quaternionic coefficients located on only one side of the powers (we call them simple polynomials) may have two different types of zeros: isolated and spherical ze...
Drahoslava Janovská, Gerhard Opfer
TCS
2008
13 years 7 months ago
Computations with quasiseparable polynomials and matrices
In this paper we survey several recent results that highlight an interplay between a relatively new class of quasiseparable matrices and polynomials. Quasiseparable matrices gener...
Tom Bella, Yuli Eidelman, Israel Gohberg, Vadim Ol...
JSC
2006
76views more  JSC 2006»
13 years 7 months ago
Fast computation of special resultants
We propose fast algorithms for computing composed products and composed sums, as well as diamond products of univariate polynomials. These operations correspond to special multiva...
Alin Bostan, Philippe Flajolet, Bruno Salvy, &Eacu...
SODA
2000
ACM
120views Algorithms» more  SODA 2000»
13 years 9 months ago
Minimum ratio canceling is oracle polynomial for linear programming, but not strongly polynomial, even for networks
This paper shows that the minimum ratio canceling algorithm of Wallacher (1989) (and a faster relaxed version) can be generalized to an algorithm for general linear programs with ...
S. Thomas McCormick, Akiyoshi Shioura
SDM
2009
SIAM
161views Data Mining» more  SDM 2009»
14 years 4 months ago
Polynomial-Delay and Polynomial-Space Algorithms for Mining Closed Sequences, Graphs, and Pictures in Accessible Set Systems.
In this paper, we study efficient closed pattern mining in a general framework of set systems, which are families of subsets ordered by set-inclusion with a certain structure, pro...
Hiroki Arimura, Takeaki Uno