Computational and Applied Processes in Linear Algebra       (Mathematical Sciences)
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The questions which are raised in this project represent                three topics of research interest:  (1) The solution by parallel                iterative algorithms of large scale linear, singular and                        nonsingular, systems of linear equations.  (2) Characterizations                of trajectories of linear differential systems which are                        constrained to reach a cone, their application to control                       systems, and their approximation by difference equations.  (3)                  Perturbation of the Perron eigenvalue and eigenvector of                        essentially nonegative matrices and their relationship to                       generalized inverses of M-matrices.                                                     The linkage between these topics is that the investigator's             interest in them has evolved from his main line of research to                  date which is iterative methods for solving linear equations.                   For example, an important concept which underlies (2) is the                    comparative rate of growth of the powers of a matrix on its                     different eigenspaces.  With regard to (3), nonegative matrices                 play an important role in the study of sufficient conditions for                the convergence of iterative techniques, as can be evidenced from               some of the problems posed in (1).
{'FirstName': 'Michael', 'LastName': 'Neumann', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Michael Neumann', 'EmailAddress': 'neumann@math.uconn.edu', 'NSF_ID': '000256060', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Connecticut', 'CityName': 'STORRS', 'ZipCode': '062699018', 'PhoneNumber': '8604863622', 'StreetAddress': '438 WHITNEY RD EXTENSION UNIT 11', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Connecticut', 'StateCode': 'CT', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'CT02', 'ORG_UEI_NUM': 'WNTPS995QBM7', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CONNECTICUT', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '127100', 'Text': 'COMPUTATIONAL MATHEMATICS'}
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