期刊名称：International Journal of Hybrid Information Technology
印刷版ISSN：1738-9968
出版年度：2014
卷号：7
期号：6
页码：315-324
DOI：10.14257/ijhit.2014.7.6.27
出版社：SERSC
摘要：Waldén, Karlson, and Sun found an elegant explicit expression of backward error for the linear least squares problem. However, it is difficult to compute this quantity as it involves the minimal singular value of certain matrix. In this paper we present a simple estimation to this bound which can be easily computed especially for large problems. Numerical results demonstrate the validity of the estimation.
关键词：linear least squares problem; backward error; backward stable; residual error
