文献类型：期刊文献

英文题名：On the loss of orthogonality in the second-order Arnoldi process

作者：Lin, Yiqin[1];Bao, Liang[2]

机构：[1]Hunan Univ Sci & Engn, Dept Math & Computat Sci, Yongzhou 425100, Peoples R China;[2]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2011

卷号：35

期号：1-2

起止页码：475

外文期刊名：JOURNAL OF APPLIED MATHEMATICS AND COMPUTING

收录：EI(收录号：20110313590209);WOS:【ESCI(收录号:WOS:000213152500035)】；

基金：This work is supported by the National Natural Science Foundation of China under grant 10801048 and the Natural Science Foundation of Hunan Province under grant 09JJ6014.

语种：英文

外文关键词：Second-order Krylov subspace; Second-order Arnoldi process; Rounding error analysis; Modified Gram-Schmidt algorithm; Orthogonalization

摘要：This note is devoted to the rounding error analysis of the second-order Arnoldi process for constructing an orthonormal basis of the second-order Krylov subspace. The effect of the rounding errors on the orthogonality of the derived vectors is given.