Accession Number : AD0611295

Title :   DETERMINANTS OF A CERTAIN CLASS OF NONHERMITIAN TOEPLITZ MATRICES,

Corporate Author : AARHUS UNIV (DENMARK)

Personal Author(s) : Baxter ,Glen ; Schmidt ,Palle ; Anderson,E. S.

Report Date : 29 NOV 1960

Pagination or Media Count : 8

Abstract : In this paper the authors establish an elementary identity between two determinants and illustrate its use as at a tool for investigating a certain class of Toeplitz determinants. The feature of the identity which makes it useful in such investigations is that it equates a determinant of 'large' order n to one of fixed 'small' order k. Thus, using only elementary techniques, precise information can be obtained on the asymptotic behavior of certain n x n Toeplitz determinants as n becomes infinite.

Descriptors :   (*DETERMINANTS(MATHEMATICS), MATRICES(MATHEMATICS)), (*MATRICES(MATHEMATICS), DETERMINANTS(MATHEMATICS)), (*IDENTITIES, DETERMINANTS(MATHEMATICS)), COMPLEX VARIABLES, SERIES(MATHEMATICS), POLYNOMIALS, DENMARK

Distribution Statement : APPROVED FOR PUBLIC RELEASE