2023-11-29
Contour integration for eigenvector nonlinearities
Publication
Publication
SIAM Journal on Matrix Analysis and Applications , Volume 44 - Issue 4 p. 1619- 1644
Solving polynomial eigenvalue problems with eigenvector nonlinearities (PEPv) is an interesting computational challenge, outside the reach of the well-developed methods for nonlinear eigenvalue problems. We present a natural generalization of these methods which leads to a contour integration approach for computing all eigenvalues of a PEPv in a compact region of the complex plane. Our methods can be used to solve any suitably generic system of polynomial or rational function equations.
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| , , , , | |
| doi.org/10.1137/22M1497985 | |
| SIAM Journal on Matrix Analysis and Applications | |
| New frontiers in numerical nonlinear algebra | |
| Organisation | Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands |
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Claes, R., Meerbergen, K., & Telen, S. J. L. (2023). Contour integration for eigenvector nonlinearities. SIAM Journal on Matrix Analysis and Applications, 44(4), 1619–1644. doi:10.1137/22M1497985 |
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