Mathematical Sciences: Completely Integrable Hamiltonian    Systems
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{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
Professor Li will investigate the relationship between                     eigenvalue algorithms and integrable Hamiltonian systems.                       Together with his collaborators, he has proved the complete                     integrablity of the Toda (QL) flows on orbits through generic                   symmetric matrices.  Further research will focus on the                         Hamiltonian structure and the question of complete integrability                for the LU flows, the Chloesky flows and the extension of the                   Toda flows to nonsymmetric matrices.                                                 Professor Li will also investigate two related classes of                  flows which are important derivates of the Toda flows and are                   linkeed to the QL family of algorithms, such as QZ and SVD.                     These flows are not isospectral, but one of them preserves                      singular values of matrices, while the other preserves                          eigenvalues of matrix pencils.                                                       This research is part of theoretical efforts aimed at a                    better understanding of computational methods related to matrix                 eigenvalue problems.
{'FirstName': 'Luen-Chau', 'LastName': 'Li', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Luen-Chau Li', 'EmailAddress': 'luenli@math.psu.edu', 'NSF_ID': '000173243', 'StartDate': '09/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Pennsylvania State Univ University Park', 'CityName': 'UNIVERSITY PARK', 'ZipCode': '168021503', 'PhoneNumber': '8148651372', 'StreetAddress': '201 OLD MAIN', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Pennsylvania', 'StateCode': 'PA', 'CONGRESSDISTRICT': '15', 'CONGRESS_DISTRICT_ORG': 'PA15', 'ORG_UEI_NUM': 'NPM2J7MSCF61', 'ORG_LGL_BUS_NAME': 'THE PENNSYLVANIA STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
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