Verified error bounds for eigenvalues of geometric multiplicity q and corresponding invariant subspaces-Reference-Cited by-同舟云学术

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Verified error bounds for eigenvalues of geometric multiplicity q and corresponding invariant subspaces

Published:2017-04-29 Issue:2 Volume:77 Page:631-652
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Li Zhe,Wan Baocheng,Gao Ruimei

Funder

Chinese National Natural Science Foundation

Jilin province education department twelfth five-year science and technology research plan project

The open fund Key Lab. of Symbolic Computation and Knowledge Engineering

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/article/10.1007/s11075-017-0332-y/fulltext.html

Reference32 articles.

1. Alefeld, G., Spreuer, H.: Iterative improvement of componentwise errorbounds for invariant subspaces belonging to a double or nearly double eigenvalue. Computing 36, 321–334 (1986)

2. Dongarra, J.J.: Improving the accuracy of computed matrix eigenvalues. ANL-80-84, Applied Mathematics Division, Argonne National Laboratory, Argonne (1980)

3. Dongarra, J.J., Moler, C.B., Wilkinson, J.H.: Improving the accuracy of computed eigenvalues and eigenvectors. SIAM J. Numer. Anal. 20(1), 23–45 (1983)

4. Fassino, C., Torrente, M.: Simple varieties for limited precision points. Theor. Comput. Sci. 491(1), 174–186 (2013)

5. Giusti, M., Yakoubsohn, J.C.: Multipliity hunting and approximating multiple roots of polynomials systems. Contemp. Math. 604, 105C–128 (2013)

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1. The verification of multiplicity support of a defective eigenvalue of a real matrix;Applied Mathematics and Computation;2022-02

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