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» A Jacobi-Davidson Method for Nonlinear Eigenproblems
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ICCS
2004
Springer
13 years 10 months ago
A Jacobi-Davidson Method for Nonlinear Eigenproblems
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 b...
Heinrich Voss
CORR
2010
Springer
136views Education» more  CORR 2010»
13 years 2 months ago
An Inverse Power Method for Nonlinear Eigenproblems with Applications in 1-Spectral Clustering and Sparse PCA
Many problems in machine learning and statistics can be formulated as (generalized) eigenproblems. In terms of the associated optimization problem, computing linear eigenvectors a...
Matthias Hein, Thomas Bühler
SIAMNUM
2010
103views more  SIAMNUM 2010»
12 years 11 months ago
Hybridization and Postprocessing Techniques for Mixed Eigenfunctions
Abstract. We introduce hybridization and postprocessing techniques for the RaviartThomas approximation of second-order elliptic eigenvalue problems. Hybridization reduces the Ravia...
Bernardo Cockburn, Jayadeep Gopalakrishnan, F. Li,...
SIAMSC
2008
97views more  SIAMSC 2008»
13 years 4 months ago
Numerical Methods for Computing Nonlinear Eigenpairs: Part II. Non-Iso-Homogeneous Cases
Standing (solitary)-wave/steady-state solutions in many nonlinear wave motions and Schrodinger flows lead to nonlinear eigenproblems. In [X. Yao and J. Zhou, SIAM J. Sci. Comput., ...
Xudong Yao, Jianxin Zhou
CSDA
2007
96views more  CSDA 2007»
13 years 4 months ago
On a quadratic eigenproblem occurring in regularized total least squares
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)] sugges...
J. Lampe, H. Voss