Abstract
We are concerned with the computation of eigenvalues of singular nonselfadjoint Sturm — Liouville problems by the method of determinants. The representation of a differential operator by an infinite matrix allows the use of Lidskii’s theorem to define its determinant. The finite section is then used to compute eigenvalues in a simple way. This direct method borrows stable methods from numerical linear algebra to compute a large number of eigenvalues with high precision. Numerical examples with nondifferentiable and complex valued coefficients are treated at the end.
© Institute of Mathematics, NAS of Belarus
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