NSF Org:	DMS Division Of Mathematical Sciences
Recipient:	NORTH CAROLINA STATE UNIVERSITY
Initial Amendment Date:	May 16, 1991
Latest Amendment Date:	March 26, 1993
Award Number:	9024622
Award Instrument:	Continuing Grant
Program Manager:	DMS  Division Of Mathematical Sciences MPS  Directorate for Mathematical and Physical Sciences
Start Date:	June 1, 1991
End Date:	November 30, 1994 (Estimated)
Total Intended Award Amount:	$138,864.00
Total Awarded Amount to Date:	$138,864.00
Funds Obligated to Date:	FY 1991 = $108,864.00 FY 1993 = $30,000.00
History of Investigator:	Carl Kelley (Principal Investigator) tim_kelley@ncsu.edu
Recipient Sponsored Research Office:	North Carolina State University 2601 WOLF VILLAGE WAY RALEIGH NC  US  27695-0001 (919)515-2444
Sponsor Congressional District:	02
Primary Place of Performance:	DATA NOT AVAILABLE
Primary Place of Performance Congressional District:
Unique Entity Identifier (UEI):	U3NVH931QJJ3
Parent UEI:	U3NVH931QJJ3
NSF Program(s):	APPLIED MATHEMATICS
Primary Program Source:	app-0193
Program Reference Code(s):	1266
Program Element Code(s):	126600
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.049

ABSTRACT

This project will study the design and analysis of algorithms for the solution of large scale optimization problems and nonlinear equations that arise from discretizations of infinite dimensional problems. The goals include development of a unifying theory for pointwise quasi-Newton methods, study of the symmetric rank one method in infinite dimensions in both the conventional and pointwise contexts, analysis of a new class of methods that use the step in finite difference computation of gradients as a tool to avoid local minima for problems that are sums of simple smooth functions and small amplitude, high frequency, noise terms, and globally convergent algorithms for infinite dimensional problems. The basic research will be applied to problems in radiative transfer, computer sided design of microwave devices, and numerical methods for optimization of competitive systems.

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