摘要
利用M-矩阵与非负矩阵的关系,给出了求不可约M-矩阵最小特征值的一个算法,该算法具有计算量小,易在计算机上实现的特点,且可以达到实际需要的精度,并给出了收敛性证明.数值例子表明该算法具有可行性和有效性.
A new algorithm of the minimal eigenvalue for an irreducible M - matrix is proposed in this paper, referring to the relation between the M -matrix and the nonnegative matrix. The algorithm is easy to calculate and to realize on computer, but with an appropriate precision. Convergence proof is also offered. Its effectiveness and feasibility are finally shown through numerical examples.
出处
《昆明理工大学学报(理工版)》
北大核心
2009年第5期121-124,共4页
Journal of Kunming University of Science and Technology(Natural Science Edition)
基金
罗富高速公路生物防护体系研究与示范项目
河南理工大学青年基金项目(项目编号:646219)
关键词
非负矩阵
M-矩阵
不可约
最小特征值
nonnegative matrix
M - matrix
irreducibility
minimal eigenvalue