Mathematical Sciences: RUI: Matrix Equations, Inertia and   Stability
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This research will concern itself with several of the core                 areas of linear algebra: matrix equations, inertia, and                         stability, which have relevance both to computational linear                    algebra and to control theory.  First the study of conditions for               nonsingularity of solutions of Sylvester, Lyapunov, and Riccati                 matrix equations will be studied.  Second the principal                         investigator plans to study orthogonal solutions of matrix                      equations.  Third the principal investigator plans to study the                 construction of symmetrizers with specific properties of use in                 applications.  Fourth the principal investigator will study                     several areas of inertia theory, namely singular inertia theory,                inertia theory for Riccati equations, and generalized inertia.                  Finally the principal investigator will study when positive                     definite matrices have positive definite and semidefinite images                under certain Lyapunov maps.
{'FirstName': 'David', 'LastName': 'Carlson', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'David H Carlson', 'EmailAddress': 'carlson¦math.sdsu.edu', 'NSF_ID': '000437968', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'San Diego State University Foundation', 'CityName': 'SAN DIEGO', 'ZipCode': '921821901', 'PhoneNumber': '6195945731', 'StreetAddress': '5250 CAMPANILE DR', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '51', 'CONGRESS_DISTRICT_ORG': 'CA51', 'ORG_UEI_NUM': 'H59JKGFZKHL7', 'ORG_LGL_BUS_NAME': 'SAN DIEGO STATE UNIVERSITY FOUNDATION', 'ORG_PRNT_UEI_NUM': 'H59JKGFZKHL7'}
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{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8808237.xml'}