Abstract
A structure theory for Hankel striped matrices is developed that generalizes the corresponding theory for Hankel matrices [4]. This leads, in particular, to an inverslon algorithm for Hankel and Toeplitz striped matrices working without additional assumptions.
Similar content being viewed by others
References
Semencul,A.A.. Inversion of finite sections of palred and transposed paired opertators. (Russian) Matem. Issled., Kishinev, 3, 1 (1968), 100–107.
Heinig,G. and K.Rost. Invertierung einiger Klassen von Matrizen und Operatoren. Wiss. Inf. TH Karl-Marx-Stadt 1979.
Heinig,G. and K.Rost. Invertierung von Toeplitzmatrizen und ihren Verallgemeinerungen. I Beitraege zur Num. Math. 12 (1983), 55–73.
Heinig,G. and K.Rost. Algebraic methods for Toeplitz-like operators. Akademie-Verlag, Berlin and Birkhaeuser-Verlag Basel-Stuttgart-Boston, 1984.
Ben-Artzl,A. and T.Shalom. On Inversion of block Toeplitz matrices. Int. Equ. and Operator Theory 8 (1985), 751–779.
Rost,K. Invertierung einiger Klassen von Matrizen im Zusammenhang mit der naeherungsweisen Loesung von Operatorgleichungen. Diss.A, TH Karl-Marx-Stadt 1980.
Heinig G. Partial indices for Toeplitz-like operators. Integral Equ. and Operator Theory, 8 (1985), 805–824.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Heinig, G. Structure theory and fast inversion of Hankel striped matrices. I. Integr equ oper theory 11, 205–229 (1988). https://doi.org/10.1007/BF01272119
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01272119