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Nonlinear Eigenproblems

Published in SIAM Journal on Matrix Analysis and Applications • Jan 1, 1999
NobleIDNI7P59W95R25S34
Authors:
Philippe Guillaume

Abstract

Let $A(\lambda )$ be a holomorphic matrix-valued function defined on a domain $\Omega \subset {\Bbb C}.$ The nonlinear eigenproblem of finding generalized eigenpairs $\lambda ,\ v$ such that $A(\lambda )v=0$ is considered. The method which is exposed for solving this problem is based on the derivati...

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