A Successive Least Squares Method for Structured Total Least Squares

A Successive Least Squares Method for Structured Total Least Squares

Year:    2003

Author:    Plamen Y. Yalamov, Jin-Yun Yuan

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 463–472

Abstract

A new method for Total Least Squares (TLS) problems is presented. It differs from previous approaches and is based on the solution of successive Least Squares problems. The method is quite suitable for Structured TLS (STLS) problems. We study mostly the case of Toeplitz matrices in this paper. The numerical tests illustrate that the method converges to the solution fast for Toeplitz STLS problems. Since the method is designed for general TLS problems, other structured problems can be treated similarly.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JCM-10249

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 463–472

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Structure total least squares Linear least squares Successive linear squares method Toelitz systems Structure least squares.

Author Details

Plamen Y. Yalamov

Jin-Yun Yuan