Investigators from University of Alberta Release New Data on General Mathematics
2012 APR 24 - (VerticalNews.com) -- According to the authors of a study from Edmonton, Canada, "We study the smallest singular value of a square random matrix with i.i.d. columns drawn from an isotropic log-concave distribution."
"An important example is obtained by sampling vectors uniformly distributed in an isotropic convex body," wrote R. Adamczak and colleagues, University of Alberta.
The researchers concluded: "We deduce that the condition number of such matrices is of the order of the size of the matrix and give an estimate on its tail behaviour."
Adamczak and colleagues published the results of their research in Proceedings of the American Mathematical Society (Condition Number Of A Square Matrix With Iid Columns Drawn From A Convex Body. Proceedings of the American Mathematical Society, 2012;140(3):987-998).
For additional information, contact R. Adamczak, University of Alberta, Dept. of Math & Stat Sci, Edmonton, AB T6G 2G1, Canada.
The publisher of the journal Proceedings of the American Mathematical Society can be contacted at: Amer Mathematical Soc, 201 Charles St, Providence, RI 02940-2213, USA.
Keywords: City:Edmonton, State:Alberta, Country:Canada, Region:North and Central America, General Mathematics
This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2012, VerticalNews Mathematics via VerticalNews.com.