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JCPHY
2011
109views more  JCPHY 2011»
12 years 11 months ago
Fast construction of hierarchical matrix representation from matrix-vector multiplication
We develop a hierarchical matrix construction algorithm using matrixvector multiplications, based on the randomized singular value decomposition of low-rank matrices. The algorith...
Lin Lin, Jianfeng Lu, Lexing Ying
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 8 months ago
Definitions by Rewriting in the Calculus of Constructions
Abstract : The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined with a general form of rewrite rules. We prov...
Frédéric Blanqui
CAD
2000
Springer
13 years 8 months ago
Error propagation in geometric constructions
In this paper we consider error propagation in geometric constructions from a geometric viewpoint. First we study affine combinations of convex bodies: This has numerous examples ...
Johannes Wallner, Rimvydas Krasauskas, Helmut Pott...
JUCS
2010
95views more  JUCS 2010»
13 years 3 months ago
Realisability for Induction and Coinduction with Applications to Constructive Analysis
Abstract: We prove the correctness of a formalised realisability interpretation of extensions of first-order theories by inductive and coinductive definitions in an untyped -calcul...
Ulrich Berger
COCOON
1995
Springer
14 years 5 hour ago
Constructing Craig Interpolation Formulas
A Craig interpolant of two inconsistent theories is a formula which is true in one and false in the other. This paper gives an eificient method for constructing a Craig interpolant...
Guoxiang Huang