The asymptotic convergence of parameterized variants of Newton's method for the solution of nonlinear systems of equations is considered. The original system is perturbed by a...
Nicholas I. M. Gould, Dominique Orban, Annick Sart...
Abstract. The Kaczmarz method for solving linear systems of equations Ax = b is an iterative algorithm that has found many applications ranging from computer tomography to digital ...
We show that a fast algorithm for the QR factorization of a Toeplitz or Hankel matrix A is weakly stable in the sense that RT R is close to AT A. Thus, when the algorithm is used ...
Adam W. Bojanczyk, Richard P. Brent, Frank R. de H...
We consider the problem of computing numerical invariants of programs by abstract interpretation. Our method eschews two traditional sources of imprecision: (i) the use of widenin...
Motion-based segmentation of image sequences is an important problem of image analysis, with numerous applications to image coding and image manipulation. We present a novel algor...