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ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
14 years 1 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
IPPS
2007
IEEE
14 years 1 months ago
Memory Optimizations For Fast Power-Aware Sparse Computations
— We consider memory subsystem optimizations for improving the performance of sparse scientific computation while reducing the power consumed by the CPU and memory. We first co...
Konrad Malkowski, Padma Raghavan, Mary Jane Irwin
COMPGEOM
1997
ACM
13 years 12 months ago
Computing Exact Geometric Predicates Using Modular Arithmetic with Single Precision
Abstract: We propose an e cient method that determines the sign of a multivariate polynomial expression with integer coe cients. This is a central operation on which the robustness...
Hervé Brönnimann, Ioannis Z. Emiris, V...
ICCAD
2001
IEEE
124views Hardware» more  ICCAD 2001»
14 years 4 months ago
Partition-Based Decision Heuristics for Image Computation Using SAT and BDDs
Methods based on Boolean satisfiability (SAT) typically use a Conjunctive Normal Form (CNF) representation of the Boolean formula, and exploit the structure of the given problem ...
Aarti Gupta, Zijiang Yang, Pranav Ashar, Lintao Zh...
SIGMETRICS
2000
ACM
105views Hardware» more  SIGMETRICS 2000»
14 years 8 hour ago
Using the exact state space of a Markov model to compute approximate stationary measures
We present a new approximation algorithm based on an exact representation of the state space S, using decision diagrams, and of the transition rate matrix R, using Kronecker algeb...
Andrew S. Miner, Gianfranco Ciardo, Susanna Donate...