<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">V.Y. Pan</style></author><author><style face="normal" font="default" size="100%">Devin K. Grady</style></author><author><style face="normal" font="default" size="100%">B. Murphy</style></author><author><style face="normal" font="default" size="100%">G. Qian</style></author><author><style face="normal" font="default" size="100%">R.E. Rosholt</style></author><author><style face="normal" font="default" size="100%">A.D. Ruslanov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Schur aggregation for linear systems and determinants</style></title><secondary-title><style face="normal" font="default" size="100%">Theoretical Computer Science</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Iterative refinement</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year><pub-dates><date><style  face="normal" font="default" size="100%">12/2008</style></date></pub-dates></dates><number><style face="normal" font="default" size="100%">2</style></number><volume><style face="normal" font="default" size="100%">409</style></volume><pages><style face="normal" font="default" size="100%">255 - 268</style></pages><abstract><style face="normal" font="default" size="100%">We apply our recent preconditioning techniques to the solution of linear systems of equations and computing determinants. We combine these techniques with the Sherman-Morrison-Woodbury formula, its new variations, aggregation, iterative refinement, and advanced algorithms that rapidly compute sums and products either error-free or with the desired high accuracy. Our theoretical and experimental study shows the power of this approach.</style></abstract><notes><style face="normal" font="default" size="100%">Symbolic-Numerical Computations</style></notes></record></records></xml>
