Zobrazeno 1 - 10 of 55 pro vyhledávání: '"Françoise Tisseur"'
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Akademický článek
Performance impact of precision reduction in sparse linear systems solvers
Autor: Mawussi Zounon, Nicholas J. Higham, Craig Lucas, Françoise Tisseur
Publikováno v: PeerJ Computer Science, Vol 8, p e778 (2022)
It is well established that reduced precision arithmetic can be exploited to accelerate the solution of dense linear systems. Typical examples are mixed precision algorithms that reduce the execution time and the energy consumption of parallel solver
Externí odkaz: https://doaj.org/article/88ad11acb7ee452292db6edea47a5b01
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3
Min-Max Elementwise Backward Error for Roots of Polynomials and a Corresponding Backward Stable Root Finder
Autor: Françoise Tisseur, Marc Van Barel
A new measure called min-max elementwise backward error is introduced for approximate roots of scalar polynomials $p(z)$. Compared with the elementwise relative backward error, this new measure allows for larger relative perturbations on the coeffici
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f83d50aace7d80a17a010ec7b296157a
https://lirias.kuleuven.be/handle/123456789/662541
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4
Compact Two-Sided Krylov Methods for Nonlinear Eigenvalue Problems
Autor: Pieter Lietaert, Karl Meerbergen, Françoise Tisseur
Publikováno v: Lietaert, P, Meerbergen, K & Tisseur, F 2018, ' Compact two-sided krylov methods for nonlinear eigenvalue problems ', SIAM Journal on Scientific Computing, vol. 40, no. 5, pp. A2801-A2829 . https://doi.org/10.1137/17M1144167
We describe a generalization of the compact rational Krylov (CORK) methods for polynomial and rational eigenvalue problems that usually, but not necessarily, come from polynomial or rational approximations of genuinely nonlinear eigenvalue problems.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f1b80c700d92d49834280c3e220e44e
https://doi.org/10.1137/17m1144167
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5
FILTERING FREQUENCIES IN A SHIFT-AND-INVERT LANCZOS ALGORITHM FOR THE DYNAMIC ANALYSIS OF STRUCTURES
Autor: Françoise Tisseur, Ramaseshan Kannan, Mante Zemaityte
Publikováno v: Zemaite, M, Tisseur, F & Kannan, R 2019, ' FILTERING FREQUENCIES IN A SHIFT-AND-INVERT LANCZOS ALGORITHM FOR THE DYNAMIC ANALYSIS OF STRUCTURES ', S I A M Journal on Scientific Computing . https://doi.org/10.1137/18M1190045
The shift-and-invert Lanczos algorithm is a commonly used solution procedure to compute the eigenpairs of large, sparse eigenvalue problems that arise when approximating the elastic dynamic response of large structures under the influence of seismic
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5575d000e27fc782b1732dc03720e92d
https://www.research.manchester.ac.uk/portal/en/publications/filtering-frequencies-in-a-shiftandinvert-lanczos-algorithm-for-the-dynamic-analysis-of-structures(09fd57f1-99cd-4682-b690-e28146a21b72).html
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6
THE STRUCTURED CONDITION NUMBER OF A DIFFERENTIABLE MAP BETWEEN MATRIX MANIFOLDS, WITH APPLICATIONS
Autor: Vanni Noferini, Françoise Tisseur, Bahar Arslan
Publikováno v: Arslan, B, Noferini, V & Tisseur, F 2019, ' THE STRUCTURED CONDITION NUMBER OF A DIFFERENTIABLE MAP BETWEEN MATRIX MANIFOLDS, WITH APPLICATIONS ', S I A M Journal on Matrix Analysis and Applications . https://doi.org/10.1137/17M1148943
Noferini, Vanni/0000-0002-1775-041X; Tisseur, Francoise/0000-0002-1011-2570 WOS:000473026800016 We study the structured condition number of differentiable maps between smooth matrix manifolds, extending previous results to maps that are only R-differ
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6deb2d162fedab5bf1fc1993dfa5be5
https://hdl.handle.net/20.500.12885/719
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7
Algorithms for Hessenberg-Triangular Reduction of Fiedler Linearization of Matrix Polynomials
Autor: Françoise Tisseur, Lars Karlsson
Publikováno v: SIAM Journal on Scientific Computing. 37:C384-C414
Small- to medium-sized polynomial eigenvalue problems can be solved by linearizing the matrix polynomial and solving the resulting generalized eigenvalue problem using the QZ algorithm. The QZ algo ...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::14764206595ab4346c12cbab94760015
https://doi.org/10.1137/140970458
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8
Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems
Autor: Françoise Tisseur, Akira Imakura, Hongjia Chen, Tetsuya Sakurai, Yasuyuki Maeda
Publikováno v: Chen, H, Maeda, Y, Imakura, A, Sakurai, T & Tisseur, F 2017, ' Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems ', JSIAM Letters, vol. 9, pp. 17-20 . https://doi.org/10.14495/jsiaml.9.17
The Sakurai-Sugiura method with Rayleigh-Ritz projection (SS-RR method) nds the eigen-values in a certain domain of the complex plane of large quadratic eigenvalue problems (QEPs). The standard implementation of the SS-RR method can suer from numeric
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3820d2e4e68aec69926c9d4eea3775c
https://pure.manchester.ac.uk/ws/files/50614953/jsiam_letter.pdf
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9
Polynomial eigenvalue solver based on tropically scaled Lagrange linearization
Autor: Marc Van Barel, Françoise Tisseur
Publikováno v: Van Barel, M & Tisseur, F 2017, ' Polynomial eigenvalue solver based on tropically scaled Lagrange linearization ', Linear Algebra and its Applications . https://doi.org/10.1016/j.laa.2017.04.025
We propose an algorithm to solve polynomial eigenvalue problems via linearization combining several ingredients: a specific choice of linearization, which is constructed using input from tropical algebra and the notion of well-separated tropical root
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a0dd9c3ee63212a8450195d3b32ddac
https://doi.org/10.1016/j.laa.2017.04.025
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10
The nonlinear eigenvalue problem
Autor: Stefan Güttel, Françoise Tisseur
Publikováno v: Guettel, S & Tisseur, F 2017, ' The nonlinear eigenvalue problem ', Acta Numerica, vol. 26 . https://doi.org/10.1017/S0962492917000034
Nonlinear eigenvalue problems arise in a variety of science and engineering applications, and in the past ten years there have been numerous breakthroughsin the development of numerical methods. This article surveys nonlineareigenvalue problems assoc
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::440e2db065fb992c6e0cbb2e12a31d8c
https://doi.org/10.1017/S0962492917000034
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