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Computation of the Perron Root and Vector of a Non-Negative Matrix.

机译：perron根的计算及非负矩阵的向量。

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摘要

The paper develops a Newton-type algorithm for computing the Perron root and vector of a non-negative matrix. Quadratic convergence is proved,and interval bounds are obtained for the root and vector. (Author)

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作者
robinson,stephen m. nickel,karl;
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年度 1971
页码 1-44
总页数 44
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
matrix algebra; numerical analysisapproximation(mathematics); linear programming; iterative methods; convergence; algorithms; theorems;

机译：矩阵代数;数值分析近似（数学）;线性规划;迭代方法;收敛;算法;定理;

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专利

1. BOUNDS AND INEQUALITIES FOR THE PERRON ROOT OF A NONNEGATIVE MATRIX. Ⅲ. BOUNDS DEPENDENT ON SIMPLE PATHS AND CIRCUITS [J] . L. Yu. Kolotilina Journal of Mathematical Sciences . 2006,第3期

机译：非负矩阵的Perron根的界和不等式。 Ⅲ。依赖于简单路径和电路的绑定
2. Stochastic forms of non-negative matrices and Perron-regularity [J] . Gomez Ricardo The Electronic Journal of Linear Algebra . 2016,第1期

机译：非负矩阵和Perron正则性的随机形式
3. Some closer bounds of Perron root basing on generalized Perron complement [J] . Yang Z.-M. Journal of Computational and Applied Mathematics . 2010,第1期

机译：基于广义Perron补的Perron根的一些较近界
4. Diagonal Transformations for the Computation of the Perron Root of Nonnegative Irreducible Matrices [C] . Qian Qian, Ting-Zhu Huang International Conference on Matrix Theory and Its Applications in China . 2006

机译：用于计算非负不可可动化矩阵的珀罗根的对角线变换
5. An algorithm for computing the Perron root of a nonnegative irreducible matrix. [D] . Chanchana, Prakash. 2007

机译：一种用于计算非负不可约矩阵的Perron根的算法。
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7. Tensor norm and maximal singular vectors of non-negative tensors - a Perron-Frobenius theorem, a Collatz-Wielandt characterization and a generalized power method [O] . Gautier, Antoine, Hein, Matthias 2015

机译：张量范数和非负张量的极大奇异向量 - a perron-Frobenius定理，一个Collatz-Wielandt表征和一个广义幂法
8. A Computational Algorithm for the Eigenvectors of a Singular Matrix. [R] . schlegel,palmer r. 1978

机译：奇异矩阵特征向量的计算算法。

Computation of the Perron Root and Vector of a Non-Negative Matrix.

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