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SIAMMAX
2010
104views more  SIAMMAX 2010»
15 years 1 months ago
Rigorous Perturbation Bounds of Some Matrix Factorizations
This article presents rigorous normwise perturbation bounds for the Cholesky, LU and QR factorizations with normwise or componentwise perturbations in the given matrix. The conside...
Xiao-Wen Chang, Damien Stehlé
SIAMMAX
2010
92views more  SIAMMAX 2010»
15 years 1 months ago
Estimating the Backward Error in LSQR
We propose practical stopping criteria for the iterative solution of sparse linear least squares (LS) problems. Although we focus our discussion on the algorithm LSQR of Paige and ...
Pavel Jiránek, David Titley-Péloquin
SIAMNUM
2010
129views more  SIAMNUM 2010»
15 years 1 months ago
Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors
A number of works concerning rigorous convergence theory for adaptive finite element methods (AFEM) for controlling global energy errors have appeared in recent years. However, man...
Alan Demlow
SIAMNUM
2010
96views more  SIAMNUM 2010»
15 years 1 months ago
A Stochastic Algorithm for Parametric Sensitivity in Smoluchowski's Coagulation Equation
Abstract. In this article a stochastic particle system approximation to the parametric sensitivity in the Smoluchowski coagulation equation is introduced. The parametric sensitivit...
Ismaël F. Bailleul, Peter L. W. Man, Markus K...
SIAMNUM
2010
106views more  SIAMNUM 2010»
15 years 1 months ago
Approximation of the Buckling Problem for Reissner-Mindlin Plates
This paper deals with the approximation of the buckling coefficients and modes of a clamped plate modeled by the Reissner-Mindlin equations. These coefficients are related with the...
Carlo Lovadina, David Mora, Rodolfo Rodrígu...