• Mathematics, Computer Science
  • Published in
    Numerical Lin. Alg. with…
    2016
  • DOI:10.1002/nla.2065

A rational Arnoldi process with applications

@article{Pranic2016ARA,
  title={A rational Arnoldi process with applications},
  author={Miroslav S. Pranic and Lothar Reichel and Giuseppe Rodriguez and Zhengsheng Wang and Xuebo Yu},
  journal={Numerical Lin. Alg. with Applic.},
  year={2016},
  volume={23},
  pages={1007-1022}
}
Summary The rational Arnoldi process is a popular method for the computation of a few eigenvalues of a large non-Hermitian matrix A∈Cn×n and for the approximation of matrix functions. The method is particularly attractive when the rational functions that determine the process have only few distinct poles zj∈C, because then few factorizations of matrices of the form A − zjI have to be computed. We discuss recursion relations for orthogonal bases of rational Krylov subspaces determined by… CONTINUE READING

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