David Donoho and Yaakov Tsaig, Fast solution of ell-1-norm minimization problems when the solution may be sparse. (Preprint, 2006)
It used to be at: http://www.stanford.edu/
The html version is available from Google. It was listed on the Compressed Sensing repository website as of January 6, 2007 and was accessible until recently. The Compressed Sensing repository at Rice did not have a local copy and one of the author is looking for your help in finding this preprint (his account was wiped out).
Thanks for your help.