Convergence of Hill's method for nonselfadjoint operators

Details Convergence of Hill's method for nonselfadjoint operators Convergence of Hill's method for nonselfadjoint operators

2010-09-20

arxiv.org/abs/1009.3908v1

Mathematics

Numerical Analysis

15 pages

Scientific paper

By the introduction of a generalized Evans function defined by an appropriate 2-modified Fredholm determinant, we give a simple proof of convergence in location and multiplicity of Hill's method for numerical approximation of spectra of periodic-coefficient ordinary differential operators. Our results apply to operators of nondegenerate type, under the condition that the principal coefficient matrix be symmetric positive definite (automatically satisfied in the scalar case). Notably, this includes a large class of nonselfadjoint operators, which were previously not treated. The case of general coefficients depends on an interesting operator-theoretic question regarding properties of Toeplitz matrices.

Affiliated with

Also associated with

No associations

Rating

Convergence of Hill's method for nonselfadjoint operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Convergence of Hill's method for nonselfadjoint operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence of Hill's method for nonselfadjoint operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-265689