We present a formulation for the structured condition number and for the structured backward error for the linear system A Ax = b, when the rectangular matrix A is subjected to normwise perturbations. Perturbations on the data A and the solution x are measured in the Frobenius norm. Numerical experiments that show the relevance of this condition number in the prediction of the computing error w...

Prior condition synchronization primitives for memory transactions either force waiting transactions to abort (the retry construct), or force them to commit (also called punctuation in the literature). Although these primitives are useful in some settings, they do not enable programmers to conveniently express idioms that require synchronous communication (e.g., n-way rendezvous operations) bet...

The talk will present a reliable Krylov-subspace method for estimating the spectral condition number of a matrix A. The main difficulty in estimating the condition number is the estimation of the smallest singular value  min of A. Our method estimates this value by solving a consistent least-squares minimization problem with a known minimizer using a specific Krylov-subspace method called LSQR...

Endometriosis is a condition that is characterized by the presence of endometrial tissue implants that are outside the uterine lining. It is presented in 10–15% of women in the reproductive age group, 2–5% of postmenopausal women, 25–30% of infertile women and 40–70% of women with chronic pelvic pain. The natural course of endometriosis starts with ectopic tissue implantation and bleeding occur...

We introduce a cross eigenvalue condition matrix for measuring the sensitivity of eigenvalue computations. A fundamental difference between this new object and traditional eigenvalue condition numbers is that cross interactions between eigenvectors that are not associated with the same eigenvalue are taken into account. We develop an abstract formulation that makes it possible to define continu...

The aim of this paper is to propose an adequate condition-based maintenance policy to a gradually deteriorating system using on-line detection algorithms. The originality of this work is due to the fact that the parameters defining the deterioration mode can be unknown. The main purpose is to estimate these unknown parameters in order to propose an adoptive condition based maintenance policy an...