Approximation by a Hermitian Positive Semidefinite Toeplitz Matrix
- 1 July 1993
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Matrix Analysis and Applications
- Vol. 14 (3), 721-734
- https://doi.org/10.1137/0614052
Abstract
The problem of finding the nearest Hermitian positive semidefinite Toeplitz matrix (in the Frobenius norm) of a given rank to an arbitrary matrix is considered. A special orthogonal basis and equally spaced frequencies allow good initial approximations. A second method using alternating projections solves the case of unrestricted rank. Some interesting numerical results suggest possible applications to signal processing problems.Keywords
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