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» Interval Arithmetic and Standardization
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ICCAD
2003
IEEE
154views Hardware» more  ICCAD 2003»
14 years 4 months ago
Fast, Accurate Static Analysis for Fixed-Point Finite-Precision Effects in DSP Designs
Translating digital signal processing (DSP) software into its finite-precision hardware implementation is often a timeconsuming task. We describe a new static analysis technique ...
Claire Fang Fang, Rob A. Rutenbar, Tsuhan Chen
SAC
2010
ACM
14 years 2 months ago
Variable ranges in linear constraints
We introduce an extension of linear constraints, called linearrange constraints, which allows for (meta-)reasoning about the approximation width of variables. Semantics for linear...
Salvatore Ruggieri, Fred Mesnard
TPHOL
2005
IEEE
14 years 1 months ago
Real Number Calculations and Theorem Proving
Wouldn’t it be nice to be able to conveniently use ordinary real number expressions within proof assistants? In this paper we outline how this can be done within a theorem provin...
César Muñoz, David Lester
DAGSTUHL
2008
13 years 9 months ago
Error Bounds for Lanczos Approximations of Rational Functions of Matrices
Abstract. Having good estimates or even bounds for the error in computing approximations to expressions of the form f(A)v is very important in practical applications. In this paper...
Andreas Frommer, Valeria Simoncini
FOCM
2002
83views more  FOCM 2002»
13 years 7 months ago
A Rigorous ODE Solver and Smale's 14th Problem
We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of i...
Warwick Tucker