Accession Number:

ADA099357

Title:

Morse Programs: A Topological Approach to Smooth Constrained Optimization.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1981-01-01

Pagination or Media Count:

38.0

Abstract:

We consider nonlinear constrained optimization problems whose objective and constraint functions are sufficiently smooth. No convexity is assumed. Our basic tools are from differential topology. We show that these problems can be reduced to the study of minimizing a Morse function on a manifold with boundary and we give the geometrical meaning to the first order conditions, the second order sufficiency conditions, and strict complementary slackness condition. Our main concerns are the second order sufficiently conditions, sensitivity analysis, generic properties of smooth nonlinear programs, global duality, local uniqueness, and strict complementary slackness. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE