Modification of successive approximation method in generalized spectrum problems for quadratic matrix beams

Author

Podlevskyi, B.M. ; Yaroskho, S.M.

Author_Institution

Inst. for Appl. Problems of Mech. & Math., Acad. of Sci., Ukraine

fYear

36100

fDate

2-5 Nov1998

Firstpage

76

Lastpage

80

Abstract

The case of the eigenvalue problem of the quadratic matrix beam is proposed. The method permits one to calculate all eigenpairs of the matrix beam. With this aim, the generalized eigenvalue problem is reduced to a linear problem. Then, the modified successive approximations method is used for calculation of the eigenvalues and eigenvectors. This permits the use of the information obtained from the iterations, to obtain the first eigenpair and all the following ones more quickly. Some numerical examples are considered

Keywords

approximation theory; eigenvalues and eigenfunctions; iterative methods; spectral analysis; eigenpairs; eigenvalue problem; eigenvalues; eigenvectors; generalized spectrum problems; iterations; linear problem; modified successive approximation method; quadratic matrix beams; Approximation methods; Educational institutions; Eigenvalues and eigenfunctions; Equations; Least squares methods; Mathematics; Physics; Polynomials; Vectors; Vibrations;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 1998. DIPED-98. Proceedings of III International Seminar/Workshop on

Conference_Location

Tbilisi

Print_ISBN

966-02-0621-6

Type

conf

DOI

10.1109/DIPED.1998.730948

Filename

730948