Article ID Journal Published Year Pages File Type
4618003 Journal of Mathematical Analysis and Applications 2011 9 Pages PDF
Abstract

Some inverse problems for semi-infinite periodic generalized Jacobi matrices are considered. In particular, a generalization of the Abel criterion is presented. The approach is based on the fact that the solvability of the Pell–Abel equation is equivalent to the existence of a certainly normalized J-unitary 2×2-matrix polynomial (the monodromy matrix).

Related Topics
Physical Sciences and Engineering Mathematics Analysis