7 search results - page 1 / 2 » On the Convergence of Rational Ritz Values |
SIAMMAX
2010
12 years 11 months ago
2010
Ruhe's rational Krylov method is a popular tool for approximating eigenvalues of a given matrix, though its convergence behavior is far from being fully understood. Under fair...
SIAMSC
2010
13 years 3 months ago
2010
The IDR method of Sonneveld and van Gijzen [SIAM J. Sci. Comput., 31:1035–1062, 2008] is shown to be a Petrov-Galerkin (projection) method with a particular choice of left Krylov...
SIAMMAX
2011
12 years 7 months ago
2011
We investigate an acceleration technique for restarted Krylov subspace methods for computing the action of a function of a large sparse matrix on a vector. Its effect is to ultima...
CORR
2011
Springer
12 years 8 months ago
2011
Springer
We consider the problem of globally minimizing the sum of many rational functions over a given compact semialgebraic set. The number of terms can be large (10 to 100), the degree ...
PARA
2004
Springer
13 years 10 months ago
2004
Springer
Abstract. This paper presents a method of solving initial value problems using Euler’s method, based on the domain of interval valued functions of a real variable. In contrast to...