Accession Number:

AD0689391

Title:

ISOLATION OF THE ROOTS OF A NONLINEAR OPERATOR,

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH INFORMATION SCIENCES LAB

Personal Author(s):

• Goldstein,A. A.
• Johnson,F. C.

Report Date:

1969-06-01

Pagination or Media Count:

9.0

Abstract:

A recurrent problem in optimization theory is the behavior of the system in a neighborhood of a stationary point. A theorem is proven for a class of locally Lipschitz operators which gives explicit lower bounds for a neighborhood of a zero of an operator in which the zero is unique. This result is then applied to a problem in minimization with nonlinear constraints obtaining similar results for stationary points. Author

Descriptors:

• (*CONTROL SYSTEMS
• OPTIMIZATION)
• (*OPERATORS(MATHEMATICS)
• NONLINEAR SYSTEMS)
• CONVEX SETS
• HILBERT SPACE
• PARTIAL DIFFERENTIAL EQUATIONS
• NUMERICAL ANALYSIS
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE