Article information

2004 , Volume 9, ¹ 3, p.58-71

Nikiforov I.V., Tarakanov V.I.

Procedure of selective numerical analysis of spectrum of compact in Hilbert space operator

A method of selective numerical analysis of spectrum of compact in Hilbert space operator, is considered in the case, when the eigenvalues, which are the nearest to some given number, are being found. Vibration eigenfrequencies of the rope, which is loaded by the various longitudinal forces, are obtained using the suggested method.

[full text] Classificator Msc2000:
*47A75 Eigenvalue problems
65J10 Equations with linear operators (do not use 65Fxx)
74K05 Strings

Keywords: integral operator, M. Rieszs theorem, iterative process

Author(s):
Nikiforov I.V.
Office: Surgut state university
Address: Russia, Surgut
E-mail: igoni@stsland.ru

Tarakanov V.I.
Office: Surgut state university
Address: Russia, Surgut


Bibliography link:
Nikiforov I.V., Tarakanov V.I. Procedure of selective numerical analysis of spectrum of compact in Hilbert space operator // Computational technologies. 2004. V. 9. ¹ 3. P. 58-71
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