Mathematical Sciences: RUI: Numerical Solution of the       Eigenvalue Problem of Symmetric Rationally Generated        Toeplitz Matrices
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
This research program is concerned with the properties                  and computation of the eigenvalues and eigenvectors of                          Toeplitz matrices (whose element in the ith row and jth column                  depends only on i-j).  Such matrices arise naturally in the                     discretization of differential equations as well as from series                 representation of analytic functions.  The main focus of this                   research program is to reduce the computing cost for the                        eigenvalue problem to a point where it is essentially                           independent of the size of the matrix.                                                  Eigenvalue problems for Toeplitz matrices arise in                      all fields of applications.  The results sought by this                         research program will benefit all areas of science and                          engineering.
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{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
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