TY - CHAP
T1 - Numerical methods for finding eigenfunctions
AU - Gilboa, Guy
N1 - Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.
PY - 2018
Y1 - 2018
N2 - The solution of nonlinear eigenvalue problems is an active research topic. It appears also in far-related fields of optics, dynamical flows, and more. In the variational context, the research is quite preliminary. We outline the method of Hein and Buhler, based on the Rayleigh quotient. We present in more detail a recent work by Raz Nossek and the author where a flow is used to solve the problem. This can be generalized in various ways. A generalization of Aujol et al., which is well supported theoretically, is outlined at the end of this chapter.
AB - The solution of nonlinear eigenvalue problems is an active research topic. It appears also in far-related fields of optics, dynamical flows, and more. In the variational context, the research is quite preliminary. We outline the method of Hein and Buhler, based on the Rayleigh quotient. We present in more detail a recent work by Raz Nossek and the author where a flow is used to solve the problem. This can be generalized in various ways. A generalization of Aujol et al., which is well supported theoretically, is outlined at the end of this chapter.
UR - http://www.scopus.com/inward/record.url?scp=85044828673&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-75847-3_7
DO - 10.1007/978-3-319-75847-3_7
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AN - SCOPUS:85044828673
T3 - Advances in Computer Vision and Pattern Recognition
SP - 107
EP - 122
BT - Nonlinear Eigenproblems in Image Processing and Computer Vision
ER -