Padé approximants and complex high order Toda lattices
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摘要
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.
论文关键词：Primary 33C45,Orthogonal polynomials,Three term recurrence relations,Transformations of the measure,Isospectral deformation of Jacobi matrix,Directed and inverse spectral problem,Toda lattice
论文评审过程：Received 1 December 2001, Revised 18 October 2002, Available online 22 April 2003.
论文官网地址：https://doi.org/10.1016/S0377-0427(02)00866-X
