Solving Toeplitz Least Squares Problems by Means of Newton's Iteration |
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| Authors: | D.A. Bini G. Codevico M. Van Barel |
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| Affiliation: | (1) Dipartimento di Matematica, Università di Pisa, Italy;(2) Department of Computer Science, Catholic University of Leuven, Belgium |
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| Abstract: | We extend the algorithm of [4], based on Newton's iteration and on the concept of  -displacement rank, to the computation of the generalized inverse A+ of an m×n Toeplitz matrix A. We introduce new strategies for the dynamical control of the truncation level at each step of the iteration. Numerical experiments and an application to a problem of image restoration are shown. An object-oriented implementation in C++ is described. |
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| Keywords: | Toeplitz matrices least squares approximate displacement rank Newton's iteration image restoration |
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