The Rayleigh–Ritz and the inverse iteration methods are used in order to compute the eigenvalues of Fredholm–Stieltjes integral equations, i.e. Fredholm equations with respect to suitable Stieltjes-type measures. Some applications to the so-called ‘charged’ (in German ‘belastete’) integral equation, and particularly the problem of computing the eigenvalues of a string charged by a finite number of cursors are given.

NATALINI P, & P.E. RICCI (2006). Computation of the eigenvalues of Fredholm-Stieltjes integral equations. APPLICABLE ANALYSIS, 85, 607-622 [10.1080/00036810500397039].

Computation of the eigenvalues of Fredholm-Stieltjes integral equations

NATALINI, PIERPAOLO;
2006

Abstract

The Rayleigh–Ritz and the inverse iteration methods are used in order to compute the eigenvalues of Fredholm–Stieltjes integral equations, i.e. Fredholm equations with respect to suitable Stieltjes-type measures. Some applications to the so-called ‘charged’ (in German ‘belastete’) integral equation, and particularly the problem of computing the eigenvalues of a string charged by a finite number of cursors are given.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/142361
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