Ian Zwaan

Ian Zwaan
ASML

Dr.

About

12
Publications
846
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51
Citations
Introduction
Additional affiliations
June 2017 - February 2020
Bergische Universität Wuppertal
Position
  • PostDoc Position
September 2016 - October 2016
Eindhoven University of Technology
Position
  • Senior Tutor Calculus
September 2016 - October 2016
Eindhoven University of Technology
Position
  • Teaching Assistant Introduction to Numerical Analysis
Education
February 2011 - January 2013
Utrecht University
Field of study
  • Mathematical Sciences
September 2007 - February 2011
Utrecht University
Field of study
  • Mathematics
September 2007 - February 2011
Utrecht University
Field of study
  • Computer Science

Publications

Publications (12)
Article
Full-text available
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 discretizations of an operator on an infinite-dimensional Hilbert space, and convergence results for different approximation schemes are obtained, including finite element methods...
Article
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 this paper we present a Davidson-type eigensolver that utilizes the structural properties of the Hermitian Wilson–Dirac operator Q to compute eigenpairs of this operator...
Preprint
Full-text available
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 discretizations of an operator on an infinite-dimensional Hilbert space, and convergence results for different approximation schemes are obtained, including finite element methods...
Preprint
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 this paper we present a Davidson-type eigensolver that utilizes the structural properties of the Hermitian Wilson-Dirac operator $Q$ to compute eigenpairs of this operato...
Preprint
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 Kogbetliantz iteration, but with four major innovations. The first innovation is a useful quasi-upper triangular generalized Schur form that just requires orthonormal transformatio...
Article
The quadratic numerical range W²(A) is a subset of the standard numerical range of a linear operator, which still contains its spectrum. It arises naturally in operators that have a 2 × 2 block structure, and it consists of at most two connected components, none of which necessarily convex. The quadratic numerical range can thus reveal spectral gap...
Preprint
Full-text available
The quadratic numerical range $W^2(A)$ is a subset of the standard numerical range of a linear operator which still contains its spectrum. It arises naturally in operators which have a $2 \times 2$ block structure, and it consists of at most two connected components, none of which necessarily convex. The quadratic numerical range can thus reveal sp...
Preprint
Full-text available
It is well known that the generalized (or quotient) singular values of a matrix pair $(A, C)$ can be obtained from the generalized eigenvalues of a matrix pencil consisting of two augmented matrices. The downside of this reformulation is that one of the augmented matrices requires a cross products of the form $C^*C$, which may affect the accuracy o...
Article
Full-text available
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 method employs a multidirectional subspace expansion technique. Essential to the latter is a fast truncation step designed to remove a low quality search direction and t...
Article
Full-text available
Tikhonov regularization is a popular method to approximate solutions of linear discrete ill-posed problems when the observed or measured data is contaminated by noise. Multiparameter Tikhonov regularization may improve the quality of the computed approximate solutions. We propose a new iterative method for large-scale multiparameter Tikhonov regula...
Article
We consider the two-sided Arnoldi method and propose a two-sided Krylov-Schurtype restarting method. We discuss the restart for standard Rayleigh-Ritz extraction as well as harmonic Rayleigh-Ritz extraction. Additionally, we provide error bounds for Ritz values and Ritz vectors in the context of oblique projections and present generalizations of, e...
Conference Paper
Full-text available
Full text link: http://www.swi-wiskunde.nl/swi2015/wp-content/uploads/sites/2/2016/05/PhilipsHealthcare_scproc_2015.pdf

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