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SYNASC
2008
IEEE
246views Algorithms» more  SYNASC 2008»
14 years 5 months ago
Abstract Matrix Arithmetic
Alan P. Sexton, Volker Sorge, Stephen M. Watt
ICCS
2007
Springer
14 years 5 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 8 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»
14 years 2 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
14 years 3 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...