#### Filter Results:

- Full text PDF available (56)

#### Publication Year

1993

2018

- This year (3)
- Last 5 years (14)
- Last 10 years (49)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- FranÃ§oise Tisseur, Karl Meerbergen
- SIAM Review
- 2001

We survey the quadratic eigenvalue problem, treating its many applications, its mathematical properties, and a variety of numerical solution techniques. Emphasis is given to exploiting both theâ€¦ (More)

- Nick Vannieuwenhoven, Raf Vandebril, Karl Meerbergen
- SIAM J. Scientific Computing
- 2012

We present an alternative strategy to truncate the higher-order singular value decomposition (T-HOSVD). An error expression for an approximate Tucker decomposition with orthogonal factor matrices isâ€¦ (More)

- Pieter Ghysels, Thomas J. Ashby, Karl Meerbergen, Wim Vanroose
- SIAM J. Scientific Computing
- 2013

In the Generalized Minimal Residual Method (GMRES), the global all-to-all communication required in each iteration for orthogonalization and normalization of the Krylov base vectors is becoming aâ€¦ (More)

- Karl Meerbergen, Alastair Spence
- Math. Comput.
- 1997

The need to determine a few eigenvalues of a large sparse generalised eigenvalue problem Ax = Î»Bx with positive semidefinite B arises in many physical situations, for example, in a stability analysisâ€¦ (More)

- Richard B. Lehoucq, Karl Meerbergen
- SIAM J. Matrix Analysis Applications
- 1998

The rational Krylov sequence (RKS) method is a generalization of Arnoldi's method. It constructs an orthogonal reduction of a matrix pencil into an upper Hessenberg pencil. The RKS method is usefulâ€¦ (More)

- Karl Meerbergen
- SIAM J. Scientific Computing
- 2001

This paper studies the solution of quadratic eigenvalue problems by the quadratic residual iteration method. The focus is on applications arising from nite-element simulations in acoustics. Oneâ€¦ (More)

- Karl Meerbergen, Alastair Spence
- SIAM J. Matrix Analysis Applications
- 2010

The detection of a Hopf bifurcation in a large scale dynamical system that depends on a physical parameter often consists of computing the right-most eigenvalues of a sequence of large sparseâ€¦ (More)

- Roel Van Beeumen, Karl Meerbergen, Wim Michiels
- SIAM J. Matrix Analysis Applications
- 2015

We propose a new uniform framework of Compact Rational Krylov (CORK) methods for solving large-scale nonlinear eigenvalue problems: A(Î»)x = 0. For many years, linearizations are used for solvingâ€¦ (More)

- Karl Meerbergen
- SIAM J. Matrix Analysis Applications
- 2003

- Karl Meerbergen
- Numerical Lin. Alg. with Applic.
- 2001

Applications such as the modal analysis of structures and acoustic cavities require a number of eigenvalues and eigenvectors of large scale Hermitian eigenvalue problems. The most popular method isâ€¦ (More)