Repeated diagonalization and the numerical computation of the Titchmarsh-Weyl m (λ)-function

Author:

Abstract

The repeated diagonalization techniques used by Eastham to obtain asymptotic results for solutions to linear differential systems are further developed to produce a numerical algorithm for estimating the Titchmarsh-Weyl m -coefficient in the second-order case. These analytic results have been exploited to produce a computer code (RDML1) to generate these solutions and to obtain precise global error bounds.

Publisher

The Royal Society

Subject

General Medicine

Reference15 articles.

1. Bennewitz C. & Everitt W. N. 1979 Some remarks on the Titchmarsh-Weyl m-coefficient. In A Tribute to Ake Pleijel Proc. Pleijel University of Uppsala.

2. Conf. Uppsala pp. 49-108. Department of Mathematics

3. Numerical determination of the Titchmarsh-Weyl m -coefficient and its applications to HELP inequalities

4. A numerical method for the determination of the Titchmarsh-Weyl m -coefficient

5. Safe numerical bounds for the Titchmarsh-Weyl m(A) function. Math. Proc. Camb. phil;Brown B. M.;Soc.,1993

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