Accession Number:

AD0725095

Title:

On Dual Extremum Principles in Applied Mathematics.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Noble,B.
• Sewell,M. J.

Report Date:

1971-04-01

Pagination or Media Count:

127.0

Abstract:

A unified account of upper and lower bounding principles involving convexity is given. They bound an energy-type or cost functional. Applications treated include linear and nonlinear programming, networks, optimization, control theory, fluid mechanics, elasticity, plasticity, and other differential, integral or operator equations and inequalities. Author

Descriptors:

• *FUNCTIONAL ANALYSIS
• *OPTIMIZATION
• LINEAR PROGRAMMING
• NONLINEAR PROGRAMMING
• INTEGRAL EQUATIONS
• BOUNDARY VALUE PROBLEMS
• TRANSFORMATIONS(MATHEMATICS)
• CONTROL SYSTEMS
• HAMILTONIAN FUNCTIONS
• GRAPHICS
• NETWORKS
• ELASTIC PROPERTIES
• PLASTIC PROPERTIES
• CONVEX SETS

Subject Categories:

• Theoretical Mathematics
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE