- 08-205 Kerstin Ammann and Gerald Teschl
- Relative Oscillation Theory for Jacobi Matrices
Oct 31, 08
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Abstract. We develop relative oscillation theory for Jacobi matrices
which, rather than counting the number of eigenvalues of one single matrix, counts the
difference between the number of eigenvalues of two different matrices.
This is done by replacing nodes of solutions associated with one matrix by weighted nodes of Wronskians of
solutions of two different matrices.