## Iterative Methods for Equality-Constrained Least Squares ProblemsTools
Barlow, J. L., Nichols, N. and Plemmons, R. J.
(1988)
Full text not archived in this repository. To link to this article DOI: 10.1137/0909061 ## Abstract/SummaryWe consider the linear equality-constrained least squares problem (LSE) of minimizing ${\|c - Gx\|}_2 $, subject to the constraint $Ex = p$. A preconditioned conjugate gradient method is applied to the Kuhn–Tucker equations associated with the LSE problem. We show that our method is well suited for structural optimization problems in reliability analysis and optimal design. Numerical tests are performed on an Alliant FX/8 multiprocessor and a Cray-X-MP using some practical structural analysis data.
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