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JSC
2000
68views more  JSC 2000»
13 years 7 months ago
New Structure Theorem for Subresultants
We give a new structure theorem for subresultants precising their gap structure and derive from it a new algorithm for computing them. If d is a bound on the degrees and a bound o...
Henri Lombardi, Marie-Françoise Roy, Mohab ...
MOC
2000
104views more  MOC 2000»
13 years 7 months ago
Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems
In this paper we analyze the bi-conjugate gradient algorithm in finite precision arithmetic, and suggest reasons for its often observed robustness. By using a tridiagonal structure...
Charles H. Tong, Qiang Ye
PC
2002
158views Management» more  PC 2002»
13 years 7 months ago
On parallel block algorithms for exact triangularizations
We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
Jean-Guillaume Dumas, Jean-Louis Roch
CSC
2010
13 years 5 months ago
Accuracy of the Immersed Boundary Method in Fixed-Point Arithmetic
Abstract-- The immersed boundary (IB) method is an algorithm for simulating elastic structures immersed in a fluid. The IB method can be used, for example, to simulate blood flow i...
Gabor Ferencz, Eric Peskin, Charles Peskin
ICICS
2009
Springer
14 years 2 months ago
Design of Reliable and Secure Multipliers by Multilinear Arithmetic Codes
Abstract. We propose an efficient technique for the detection of errors in cryptographic circuits introduced by strong adversaries. Previously a number of linear and nonlinear err...
Zhen Wang, Mark G. Karpovsky, Berk Sunar, Ajay Jos...