Accession Number:

AD0733448

Title:

New Conditions for Exactness of a Simple Penalty Function.

Descriptive Note:

Research rept.,

Corporate Author:

NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s):

• Howe,Stephen

Report Date:

1971-10-01

Pagination or Media Count:

10.0

Abstract:

The paper discusses penalty function methods for finding the maximum of a function f over the set S sub 0 x belongs to R sup ng sub ix or 0 for i 1,...,m and h sub jx0 for j1,...,p. New conditions, extending earlier work done by Pietrzykowski, are presented under which the penalty function Px, mu mu fx - Summation i1 to M of Ug sub ix - summation j 1 to p ofh subj x is locally exact. The relationships among the new conditions, Pietrzykowskis conditions and Kuhn-Tucker constraint qualifications are explored. Author

Descriptors:

• (*FUNCTIONS
• OPTIMIZATION)
• SET THEORY
• NUMERICAL ANALYSIS
• NONLINEAR PROGRAMMING

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE