A numerical algorithm for solving the generalized eigenvalue problem for completely continuous self-adjoint operators with nonlinear spectral parameter

被引：0

作者：

Savenko P.O. ^{[1
]}

机构：

来源：

Journal of Mathematical Sciences | 1998年 / 88卷 / 3期

关键词：

Integral Equation; Linear Operator; Eigenvalue Problem; Branch Point; Numerical Algorithm;

D O I：

10.1007/BF02365269

中图分类号：

学科分类号：

摘要：

We construct and justify a numerical algorithm for finding the generalized eigenvalues and eigenfunctions for self-adjoint positive semidefinite linear operators with nonlinear spectral parameter. We give an example of its application to finding the branch points of solutions of a class of nonlinear integral equations of Hammerstein type. ©1998 Plenum Publishing Corporation.

引用

页码：452 / 455

页数：3

共 4 条

[1]

Andriichuk, M.I., Voitovich, N.N., Savenko, P.A., Tkachuk, V.P., (1993) Synthesis of Antennas from the Amplitude Polar Diagram: Numerical Methods and Algorithms [in Russian], , Naukova Dumka, Kiev

[2]

Vainberg, M.M., Trenogin, V.A., (1979) Theory of Branchings of Solutions of Nonlinear Equations [in Russian], , Nauka, Moscow

[3]

Kantorovich, L.V., Akilov, G.P., (1982) Functional Analysis, , Pergamon Press, New York

[4]

Collatz, L., (1966) Functional Analysis and Numerical Mathematics, , Academic Press, New York

← 1 →