Accession Number : AD0763384

Title :   Existence and Representation of Diophantine and Mixed Diophantine Solutions to Linear Equations and Inequalities.

Descriptive Note : Research rept.,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR CYBERNETIC STUDIES

Personal Author(s) : Charnes,A. ; Granot,F.

Report Date : JAN 1973

Pagination or Media Count : 23

Abstract : In the paper the authors present necessary and sufficient conditions for the existence of solutions to more general systems of linear diophantine equations and inequalities than have previously been considered. The authors do this in terms of variants and extensions of generalized inverse concepts which also permit them to give representations of the set of all solutions to the systems. The results are further extended to mixed integer systems. (Author)

Descriptors :   (*NUMBER THEORY, INEQUALITIES), MATRICES(MATHEMATICS), VECTOR SPACES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE