Journal of Applied Mathematics

Comparison Results on Preconditioned GAOR Methods for Weighted Linear Least Squares Problems

Guangbin Wang, Yanli Du, and Fuping Tan

Full-text: Open access

Abstract

We present preconditioned generalized accelerated overrelaxation methods for solving weighted linear least square problems. We compare the spectral radii of the iteration matrices of the preconditioned and the original methods. The comparison results show that the preconditioned GAOR methods converge faster than the GAOR method whenever the GAOR method is convergent. Finally, we give a numerical example to confirm our theoretical results.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 563586, 9 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153505

Digital Object Identifier
doi:10.1155/2012/563586

Mathematical Reviews number (MathSciNet)
MR2979440

Zentralblatt MATH identifier
1251.65054

Citation

Wang, Guangbin; Du, Yanli; Tan, Fuping. Comparison Results on Preconditioned GAOR Methods for Weighted Linear Least Squares Problems. J. Appl. Math. 2012 (2012), Article ID 563586, 9 pages. doi:10.1155/2012/563586. https://projecteuclid.org/euclid.jam/1357153505


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