New Methods for Nonlinear Optimization
{'Code': '05010200', 'Directorate': {'Abbreviation': 'CSE', 'LongName': 'Direct For Computer & Info Scie & Enginr'}, 'Division': {'Abbreviation': 'CCF', 'LongName': 'Division of Computing and Communication Foundations'}}
{'SignBlockName': 'John D. Gannon', 'PO_EMAI': None, 'PO_PHON': None}
Professors Byrd and Schnabel will continue their research in                    unconstrained and constrained optimization.  Four topics are                    investigated.  First, tensor methods for unconstrained optimization and         initial development of such methods for constrained optimization.               Second, trust region methods for constrained optimization that are              relatively easy to implement, have satisfactory local and global                convergence theory even in the presence of linearly dependent                   constraint gradients and perform efficiently and robustly in practice.          Third, the development of algorithms for solving implicit least squares         problems, a version of least squares that arises in curve fitting or            where there are no dependent variables.  Fourth, a thorough analysis of         several quasi-Newton methods for nonlinearly constrained optimization,          with the goal of guaranteeing local superlinear convergence with an             arbitrary positive definite initial Hessian approximation, extending            Powell's results for the BFGS methods.                                                                                                                          This research addresses important optimization problems that occur in           many applications.
{'FirstName': 'Richard', 'LastName': 'Byrd', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Richard H Byrd', 'EmailAddress': 'richard@cs.colorado.edu', 'NSF_ID': '000369868', 'StartDate': '08/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Colorado at Boulder', 'CityName': 'Boulder', 'ZipCode': '803090001', 'PhoneNumber': '3034926221', 'StreetAddress': '3100 MARINE ST', 'StreetAddress2': 'STE 481 572 UCB', 'CountryName': 'United States', 'StateName': 'Colorado', 'StateCode': 'CO', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'CO02', 'ORG_UEI_NUM': 'SPVKK1RC2MZ3', 'ORG_LGL_BUS_NAME': 'THE REGENTS OF THE UNIVERSITY OF COLORADO', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '2865', 'Text': 'NUMERIC, SYMBOLIC & GEO COMPUT'}
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