Title of article
Padé approximants and complex high order Toda lattices
Author/Authors
Aptekarev، نويسنده , , A.I. and Branquinho، نويسنده , , A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
7
From page
231
To page
237
Abstract
Tridiagonal operators with complex coefficients are considered. The correspondence between dynamics of high order Toda equations for the coefficients of the operator and its resolvent function is established. It gives a method to solve an inverse problem—integration of high order Toda equations with complex initial data—based on Padé approximants and continued fractions for the resolvent function.
Keywords
orthogonal polynomials , Transformations of the measure , Three term recurrence relations , Isospectral deformation of Jacobi matrix , Directed and inverse spectral problem , Toda lattice
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2003
Journal title
Journal of Computational and Applied Mathematics
Record number
1552176
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