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Inversion formulas for infinite generalized Toeplitz matrices of variable order. (Hindi. English summary) Zbl 1193.15003

Summary: Inversion formulas are obtained for a certain class of infinite matrices of variable order that possess displacement structure similar to that of finite block Toeplitz matrices of variable order. Consequences are symmetric inversion formulas for infinite Toeplitz plus Hankel matrices of variable order.

MSC:

15A09 Theory of matrix inversion and generalized inverses
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
15B57 Hermitian, skew-Hermitian, and related matrices
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