#### Filter Results:

- Full text PDF available (27)

#### Publication Year

1950

2017

- This year (1)
- Last 5 years (6)
- Last 10 years (17)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Wolfgang Mackens, Heinrich Voss
- SIAM J. Scientific Computing
- 1999

We discuss the state of the art in numerical solution methods for large scale polynomial or rational eigenvalue problems. We present the currently available solution methods such as the Jacobi-Davidson, Arnoldi or the rational Krylov method and analyze their properties. We briefly introduce a new linearization technique and demonstrate how it can be used to… (More)

- Timo Betcke, Heinrich Voss
- Future Generation Comp. Syst.
- 2004

This article discusses a projection method for nonlinear eigenvalue problems. The subspace of approximants is constructed by a Jacobi–Davidson type approach, and the arising eigenproblems of small dimension are solved by safeguarded iteration. The method is applied to a rational eigenvalue problem governing the vibrations of tube bundle immersed in an… (More)

- Heinrich Voss
- International Conference on Computational Science
- 2004

For the nonlinear eigenvalue problem T (λ)x = 0 we consider a Jacobi–Davidson type iterative projection method. The resulting projected nonlinear eigenvalue problems are solved by inverse iteration. The method is applied to a rational eigenvalue problem governing damped vibrations of a structure.

- Heinrich Voss
- J. Comput. Physics
- 2006

- Jörg Lampe, Marielba Rojas, Danny C. Sorensen, Heinrich Voss
- SIAM J. Scientific Computing
- 2011

In a recent paper [Rojas, Santos, Sorensen: ACM ToMS 34 (2008), Article 11] an efficient method for solving the Large-Scale Trust-Region Subproblem was suggested which is based on recasting it in terms of a parameter dependent eigenvalue problem and adjusting the parameter iteratively. The essential work at each iteration is the solution of an eigenvalue… (More)

- Jörg Lampe, Heinrich Voss
- Computational Statistics & Data Analysis
- 2007

In a recent paper Sima, Van Huffel and Golub [Regularized total least squares based on quadratic eigenvalue problem solvers. BIT Numerical Mathematics 44, 793 812 (2004)] suggested a computational approach for solving regularized total least squares problems via a sequence of quadratic eigenvalue problems. Taking advantage of a variational characterization… (More)

- Karl Meerbergen, Christian Schröder, Heinrich Voss
- Numerical Lin. Alg. with Applic.
- 2013

- Heinrich Voss
- Computer Physics Communications
- 2006

In some recent papers Li, Voskoboynikov, Lee, Sze and Tretyak suggested an iterative scheme for computing the electronic states of quantum dots and quantum rings taking into account an electron effective mass which depends on the position and electron energy level. In this paper we prove that this method converges globally and linearly in an alternating… (More)

- HEINRICH VOSS
- 2006

The Jacobi–Davidson method is known to converge at least quadratically if the correction equation is solved exactly, and it is common experience that the fast convergence is maintained if the correction equation is solved only approximately. In this note we derive the Jacobi–Davidson method in a way that explains this robust behavior.