DETERMINANTS OF A CERTAIN CLASS OF NONHERMITIAN TOEPLITZ MATRICES,

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.

Document Details

Document Type
Technical Report
Publication Date
Nov 29, 1960
Accession Number
AD0611295

Entities

People

  • E. S. Anderson
  • Glen Baxter
  • Palle Schmidt

Organizations

  • Aarhus University

Tags

DTIC Thesaurus Topics

  • Identities

Fields of Study

  • Mathematics

Readers

  • Educational Psychology
  • Linear Algebra
  • Systems Analysis and Design