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SYNASC
2008
IEEE
246views Algorithms» more  SYNASC 2008»
13 years 10 months ago
Abstract Matrix Arithmetic
Alan P. Sexton, Volker Sorge, Stephen M. Watt
ICCS
2007
Springer
13 years 10 months ago
Hierarchical-Matrix Preconditioners for Parabolic Optimal Control Problems
Abstract. Hierarchical (H)-matrices approximate full or sparse matrices using a hierarchical data sparse format. The corresponding H-matrix arithmetic reduces the time complexity o...
Suely Oliveira, Fang Yang
LPAR
2010
Springer
13 years 2 months ago
Satisfiability of Non-linear (Ir)rational Arithmetic
Abstract. We present a novel way for reasoning about (possibly ir)rational quantifier-free non-linear arithmetic by a reduction to SAT/SMT. The approach is incomplete and dedicated...
Harald Zankl, Aart Middeldorp
SAS
1992
Springer
124views Formal Methods» more  SAS 1992»
13 years 8 months ago
An Application of Abstract Interpretation to Floating Point Arithmetic
Interpretation to Floating point Arithmetic Yamine A
Yamine Aït Ameur, Patrice Cros, J.-J. Falcon,...
COMPGEOM
1997
ACM
13 years 8 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...