@article {17728,
title = {On the weighting method for least squares problems with linear equality constraints},
journal = {BIT Numerical Mathematics},
volume = {37},
year = {1997},
month = {1997///},
pages = {961 - 967},
abstract = {The weighting method for solving a least squares problem with linear equality constraints multiplies the constraints by a large number and appends them to the top of the least squares problem, which is then solved by standard techniques. In this paper we give a new analysis of the method, based on the QR decomposition, that exhibits many features of the algorithm. In particular it suggests a natural criterion for chosing the weighting factor.},
doi = {10.1007/BF02510363},
author = {Stewart, G.W.}
}