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» On the Convergence of Rational Ritz Values
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SIAMMAX
2010
117views more  SIAMMAX 2010»
13 years 5 months ago
On the Convergence of Rational Ritz Values
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...
Bernhard Beckermann, Stefan Güttel, Raf Vande...
SIAMSC
2010
95views more  SIAMSC 2010»
13 years 9 months ago
Interpreting IDR as a Petrov--Galerkin Method
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...
Valeria Simoncini, Daniel B. Szyld
SIAMMAX
2011
157views more  SIAMMAX 2011»
13 years 1 months ago
Deflated Restarting for Matrix Functions
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...
Michael Eiermann, Oliver G. Ernst, Stefan Güt...
CORR
2011
Springer
133views Education» more  CORR 2011»
13 years 2 months ago
Minimizing the sum of many rational functions
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 ...
Florian Bugarin, Didier Henrion, Jean B. Lasserre
PARA
2004
Springer
14 years 4 months ago
A Domain Theoretic Account of Euler's Method for Solving Initial Value Problems
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...
Abbas Edalat, Dirk Pattinson