Iterative Method for A Class of Nonlinear Eigenvalue Problems

Document Type

Article

Publication Date

12-1-1993

Abstract

Let H Be a complex and separable Hilbert space and consider in H the nonlinear eigenvalue problem (i) Au – λBu – λ2Cu = 0, where A, B, and C belong to the class of unbounded nonsymmetric operators, which are K-positive and K-symmetric. Sufficient conditions insuring the existence of the eigenvalues of (i) are investigated. An iterative method for approximating the eigenvalues of (i) is developed and its convergence proved. Some numerical examples are given to illustrate the theory. © 1993, Taylor & Francis Group, LLC. All rights reserved.

Identifier

0003975151 (Scopus)

Publication Title

Applicable Analysis

External Full Text Location

https://doi.org/10.1080/00036819308840213

e-ISSN

1563504X

ISSN

00036811

First Page

211

Last Page

220

Issue

1-4

Volume

51

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