F
Françoise Tisseur
Researcher at University of Manchester
Publications - 77
Citations - 4418
Françoise Tisseur is an academic researcher from University of Manchester. The author has contributed to research in topics: Eigenvalues and eigenvectors & Matrix (mathematics). The author has an hindex of 30, co-authored 74 publications receiving 3990 citations.
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The Quadratic Eigenvalue Problem
TL;DR: This work surveys the quadratic eigenvalue problem, treating its many applications, its mathematical properties, and a variety of numerical solution techniques.
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NLEVP: A Collection of Nonlinear Eigenvalue Problems
TL;DR: NLEVP serves both to illustrate the tremendous variety of applications of nonlinear eigenvalue problems and to provide representative problems for testing, tuning, and benchmarking of algorithms and codes.
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The nonlinear eigenvalue problem
Stefan Güttel,Françoise Tisseur +1 more
TL;DR: This article surveys nonlinear eigenvalue problems associated with matrix-valued functions which depend nonlinearly on a single scalar parameter, with a particular emphasis on their mathematical properties and available numerical solution techniques.
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A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra
TL;DR: A block generalization of the 1-norm power method underlying the estimator is derived and developed into a practical algorithm applicable to both real and complex matrices, and it is shown how it can be used to efficiently approximate 1- norm pseudospectra.
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Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications
TL;DR: The usual definitions of pseudospectra are extended in two respects, by treating the polynomial eigenvalue problem and by allowing structured perturbations of a type arising in control theory.