%0 Journal Article
%T A NEW ALGORITHM FOR THE SPECTRAL RADIUS AND ITS EIGENVECTOR OF A LARGE SCALE NONNEGATIVE IRREDUCIBLE SPARSE MATRIX<br>一个求大规模非负不可约稀疏矩阵的谱半径及特征向量的新算法
%A Song Haizhou
%A Tian Zhaowei
%A Xu Qiang
%A <br>宋海洲
%A 田朝薇
%A 徐强
%J 计算数学
%D 2010
%I 
%X In this paper, a new algorithm for the spectral radius and its associated eigenvector of a nonnegative irreducible matrix is designed. The proof of convergence of the algorithm is also presented. The labor of calculation of this algorithm is not larger, the store of being occupied is lesser, and there is the same schema of zero element in it. So the superiority of this algorithm is obvious when we compute large sparse matrices. Finally, numerical experiments demonstrate that our algorithm is feasible.
%K Nonnegative irreducible matrix
%K spectral radius
%K eigenvector
%K algorithm<br>非负不可约矩阵
%K 谱半径
%K 特征向量
%K 数值算法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=B6E30A74A35EF0A62506FFA2DE6A9496&yid=140ECF96957D60B2&vid=9971A5E270697F23&iid=CA4FD0336C81A37A&sid=42425781F0B1C26E&eid=D997634CFE9B6321&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=9