Journal article
Structured condition numbers of structured Tikhonov regularization problem and their estimations
Abstract
Both structured componentwise and structured normwise perturbation analysis of the Tikhonov regularization are presented. The structured matrices under consideration include: Toeplitz, Hankel, Vandermonde, and Cauchy matrices. Structured normwise, mixed and componentwise condition numbers for the Tikhonov regularization are introduced and their explicit expressions are derived. For the general linear structure, based on the derived expressions, …
Authors
Diao H-A; Wei Y; Qiao S
Journal
Journal of Computational and Applied Mathematics, Vol. 308, , pp. 276–300
Publisher
Elsevier
Publication Date
December 2016
DOI
10.1016/j.cam.2016.05.023
ISSN
0377-0427