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JCPHY
2011
109views more  JCPHY 2011»
14 years 6 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»
15 years 3 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
141
Voted
CAD
2000
Springer
15 years 3 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»
14 years 10 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
15 years 7 months 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