H.A. Mang, H. Walter:
"Sturm-Sequence Check for Eigenvalue Problems Derived from Variational Principles with Subsidiary Conditions";
ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 61 (1981), S. 547 - 557.

Kurzfassung englisch:
Permitting determinataion of the number of eigenvalues smaller than a shift to the right of the largest one of these eigenvalues, the well-known "Sturm-sequence chek" is an indispensable remedy for the numerical solution of large-scale eigenproblems. The purpose of the present paper is to adapt the classical "Sturm-sequence check" for application to eigenproblems derived from variational prinicples with subsidiary conditions in the form of linear constraint conditions for the unknowns, as are frequently occuring in technical applications. The scope of this article encompasses theoretical considerations as well as a numerical study. The objectives of the numerical investigation are twofold: (a) numerical verification of the theoretical findings by means of transparent hand-calculation and (b) application of a computer-algorithm containing the modified "Sturm-sequence check".

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