NA
2010
13 years 10 months ago
2010
Quasi-Newton methods for solving singular systems of nonlinear equations are considered in this paper. Singular roots cause a number of problems in implementation of iterative met...
NA
2010
13 years 10 months ago
2010
It is well known that it is an ill-posed problem to decide whether a function has a multiple root. Even for a univariate polynomial an arbitrary small perturbation of a polynomial ...
NA
2010
13 years 10 months ago
2010
In this paper, we first propose product Toeplitz preconditioners (in an inverse form) for non-Hermitian Toeplitz matrices generated by functions with zeros. Our inverse product-ty...
NA
2010
13 years 10 months ago
2010
In the numerical solution of ODEs, it is now possible to develop efficient techniques that will deliver approximate solutions that are piecewise polynomials. The resulting methods...
NA
2010
13 years 10 months ago
2010
In the past decade or so, semi-definite programming (SDP) has emerged as a powerful tool capable of handling a remarkably wide range of problems. This article describes an innovat...
NA
2010
13 years 10 months ago
2010
Abstract: In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials. We rewrite this recurrence relati...
NA
2010
13 years 10 months ago
2010
NA
2010
13 years 10 months ago
2010
A method for linearly constrained optimization which modifies and generalizes recent box-constraint optimization algorithms is introduced. The new algorithm is based on a relaxed...
NA
2010
13 years 10 months ago
2010
Cascadic multilevel methods for the solution of linear discrete ill-posed problems with noise-reducing restriction and prolongation operators recently have been developed for the r...
NA
2010
13 years 10 months ago
2010
Abstract. In this paper we propose a stable variant of Simpler GMRES by Walker and Zhou [15]. It is based on the adaptive choice of the Krylov subspace basis at given iteration ste...