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Finite sections of toeplitz‐like matrices
Author(s) -
Percus J. K.
Publication year - 1985
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160380612
Subject(s) - toeplitz matrix , mathematics , inverse , asymptotic expansion , pure mathematics , matrix (chemical analysis) , mathematical analysis , geometry , materials science , composite material
Determinants of large finite sections of Toeplitz and Toeplitz‐like matrices are evaluated by an expansion in which the deviation from the identity is parametrically increased. Classical results are reproduced and the inverse matrix expanded as well. The expansion is asymptotically valid only for low‐order terms, and so a reordered expansion is introduced. It has the desired asymptotic character and suggests that sharp bounds are also available.