Title of article
Inverse problems for periodic generalized Jacobi matrices
Author/Authors
Derevyagin، نويسنده , , Maxim، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
9
From page
444
To page
452
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).
Keywords
Monodromy matrix , Generalized Jacobi matrix , Periodic continued fraction , Inverse problem , J-unitary matrix polynomial , Pell–Abel equation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562179
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