Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10138860 | Journal of Computational and Applied Mathematics | 2019 | 31 Pages |
Abstract
A discrete-time integrable system, called the DSF chain, is derived from the compatibility condition of spectral equations for biorthogonal polynomials associated with the discrete Schur flow. The DSF algorithm for computing eigenvalues of a type of matrix eigenvalue problem is designed. A discrete analogue of the Miura transformation between the discrete Schur flow and the qd-algorithm is constructed. Two special solutions to the DSF chain related to q-special functions are presented.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Atsushi Mukaihira, Yoshimasa Tsuboi,