To problem of reliable calculation of coefficients of secular equation by special functions
Abstract
We investigated the problem of decision to construct the coefficients and eigenvalues of Secular Equation (SE). In this aim we develop the reliable technology for calculating coefficients of SE in the range of 1200 scientific digits based on our methodology defining classical orthogonal polynomials of degree of order 10^{6} with 1200 decimal digits and assumption that the exact multiplication operations of two matrices with integer elements in the range 10^{16} approximately for 600 digits is possible.
 Publication:

11th International Conference of Numerical Analysis and Applied Mathematics 2013: ICNAAM 2013
 Pub Date:
 October 2013
 DOI:
 10.1063/1.4825715
 Bibcode:
 2013AIPC.1558.1164V