activity
20172020
most citedGeneralized Davidson and multidirectional-type methods for the generalized singular value decomposition

5 citations · 11 across the 5 of their papers we have counts for

collaborators

6 papers

hep-lat2020★ 4 cited

A multigrid accelerated eigensolver for the Hermitian Wilson-Dirac operator in lattice QCD

Andreas Frommer, Karsten Kahl, Francesco Knechtli +3

Eigenvalues of the Hermitian Wilson-Dirac operator are of special interest in several lattice QCD simulations, e.g., for noise reduction when evaluating all-to-all propagators. In…

math.SP2020

Pseudospectrum enclosures by discretization

Andreas Frommer, Birgit Jacob, Lukas Vorberg +2

A new method to enclose the pseudospectrum via the numerical range of the inverse of a matrix or linear operator is presented. The method is applied to finite-dimensional discretiz…

math.NA2020

Towards a more robust algorithm for computing the restricted singular value decomposition

Ian N. Zwaan

A new algorithm to compute the restricted singular value decomposition of dense matrices is presented. Like Zha's method \cite{Zha92}, the new algorithm uses an implicit Kogbetlian…

math.NA2019

Krylov type methods exploiting the quadratic numerical range

Andreas Frommer, Birgit Jacob, Karsten Kahl +2

The quadratic numerical range is a subset of the standard numerical range of a linear operator which still contains its spectrum. It arises naturally in operators which ha…

math.NA2019★ 2 cited

Cross product-free matrix pencils for computing generalized singular values

Ian N. Zwaan

It is well known that the generalized (or quotient) singular values of a matrix pair can be obtained from the generalized eigenvalues of a matrix pencil consisting of two…

math.NA2017★ 5 cited

Generalized Davidson and multidirectional-type methods for the generalized singular value decomposition

Ian N. Zwaan, Michiel E. Hochstenbach

We propose new iterative methods for computing nontrivial extremal generalized singular values and vectors. The first method is a generalized Davidson-type algorithm and the second…