Accession Number : AD0776799

Title :   A Maximal Determinant Problem.

Descriptive Note : Final rept. 1 Jun-31 Aug 73,

Corporate Author : TECHNOLOGY INC DAYTON OHIO

Personal Author(s) : Payne,Stanley E.

Report Date : DEC 1973

Pagination or Media Count : 33

Abstract : The problem investigated in the report is the determination of the maximum possible value of the determinant of a matrix obtained by multiplying the transpose of a given matrix A by the matrix A, where A is a matrix of plus or minus 1's with at least as many rows as columns. The solution is obtained for most cases. A reasonably self-contained exposition of the prerequisite results from the literature is included. (Author)

Descriptors :   *Matrices(Mathematics), *Determinants(Mathematics), Inequalities, Transformations(Mathematics), Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE