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A rational Arnoldi process with applications

Published:2016-09-21 Issue:6 Volume:23 Page:1007-1022
ISSN:1070-5325
Container-title:Numerical Linear Algebra with Applications
language:en
Short-container-title:Numer. Linear Algebra Appl.

Author:

Pranić Miroslav S.¹,Reichel Lothar²,Rodriguez Giuseppe³^ORCID,Wang Zhengsheng⁴,Yu Xuebo²

Affiliation:

1. Department of Mathematics and Informatics, Faculty of Science University of Banja Luka Banja Luka Bosnia and Herzegovina

2. Department of Mathematical Sciences Kent State University Kent Ohio

3. Dipartimento di Matematica e Informatica Università di Cagliari Cagliari Italy

4. Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing China

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/nla.2065

Reference29 articles.

1. On Krylov Subspace Approximations to the Matrix Exponential Operator

2. Rational Krylov sequence methods for eigenvalue computation

3. Rational Krylov Algorithms for Nonsymmetric Eigenvalue Problems

4. Rational Krylov: A Practical Algorithm for Large Sparse Nonsymmetric Matrix Pencils

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1. Orthogonal rational approximation of transfer functions for high‐frequency circuits;International Journal of Circuit Theory and Applications;2022-11-04

2. The extended symmetric block Lanczos method for matrix-valued Gauss-type quadrature rules;Journal of Computational and Applied Mathematics;2022-06

3. An Extended-Rational Arnoldi Method for Large Matrix Exponential Evaluations;Journal of Scientific Computing;2022-03-24

4. Gauss–Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix;Numerical Algorithms;2021-05-08

5. Computing unstructured and structured polynomial pseudospectrum approximations;Journal of Computational and Applied Mathematics;2019-04

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