@article {15803,
title = {Scaling symmetric positive definite matrices to prescribed row sums},
journal = {Linear Algebra and its Applications},
volume = {370},
year = {2003},
month = {2003/09/01/},
pages = {185 - 191},
abstract = {We give a constructive proof of a theorem of Marshall and Olkin that any real symmetric positive definite matrix can be symmetrically scaled by a positive diagonal matrix to have arbitrary positive row sums. We give a slight extension of the result, showing that given a sign pattern, there is a unique diagonal scaling with that sign pattern, and we give upper and lower bounds on the entries of the scaling matrix.},
keywords = {Diagonal preconditioning, Homotopy, Matrix scaling, Positive definite matrices},
isbn = {0024-3795},
doi = {10.1016/S0024-3795(03)00387-2},
url = {http://www.sciencedirect.com/science/article/pii/S0024379503003872},
author = {O{\textquoteright}Leary,Dianne P.}
}