Eigenvalue computation of totally nonnegative upper Hessenberg matrices based on a variant of the discrete hungry Toda equation
Eigenvalue computation of totally nonnegative upper Hessenberg matrices based on a variant of the discrete hungry Toda equation
复制标题
DOI：
10.1063/1.4912921
复制
发表时间：
2015-04
期刊：
影响因子：
--
通讯作者：
Ryo Sumikura;A. Fukuda;E. Ishiwata;Yusaku Yamamoto;M. Iwasaki;Yoshimasa Nakamura
中科院分区：
文献类型：
--
作者：
Ryo Sumikura;A. Fukuda;E. Ishiwata;Yusaku Yamamoto;M. Iwasaki;Yoshimasa Nakamura
利用可积离散饥饿Toda （dhToda）方程设计了一种计算下Hessenberg形式的全非负（TN）矩阵特征值的特征值算法。本文基于dhToda方程的一种变体，导出了一种计算上Hessenberg形式的TN矩阵特征值的特征值算法。
The integrable discrete hungry Toda (dhToda) equation has already been applied to design an eigenvalue algorithm which computes eigenvalues of totally nonnegative (TN) matrices with lower Hessenberg form. In this paper, an eigenvalue algorithm for computing eigenvalues of TN matrices with upper Hessenberg form is derived based on a variant of the dhToda equation.