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JSCIC
2010
113views more  JSCIC 2010»
12 years 11 months ago
Numerical Analysis of Nonlinear Eigenvalue Problems
We provide a priori error estimates for variational approximations of the ground state eigenvalue and eigenvector of nonlinear elliptic eigenvalue problems of the form -div(Au) + ...
Eric Cancès, Rachida Chakir, Yvon Maday
SIAMSC
2010
192views more  SIAMSC 2010»
13 years 3 months ago
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability p...
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
SIAMMAX
2011
79views more  SIAMMAX 2011»
12 years 7 months ago
Nonlinear Low Rank Modification of a Symmetric Eigenvalue Problem
This paper studies existence and uniqueness results and interlacing properties of nonlinear modifications of small rank of symmetric eigenvalue problems. Approximation properties ...
Heinrich Voss, Kemal Yildiztekin, Xin Huang
NECO
1998
151views more  NECO 1998»
13 years 4 months ago
Nonlinear Component Analysis as a Kernel Eigenvalue Problem
We describe a new method for performing a nonlinear form of Principal Component Analysis. By the use of integral operator kernel functions, we can e ciently compute principal comp...
Bernhard Schölkopf, Alex J. Smola, Klaus-Robe...
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