Eigenvalue computation of totally nonnegative upper Hessenberg matrices based on a variant of the discrete hungry Toda equation

Ryo Sumikura,Yoshimasa Nakamura,Masashi Iwasaki,Yusaku Yamamoto,Akiko Fukuda,Emiko Ishiwata

doi:10.1063/1.4912921

Eigenvalue computation of totally nonnegative upper Hessenberg matrices based on a variant of the discrete hungry Toda equation

Ryo Sumikura, Yoshimasa Nakamura + Show 4 more

https://doi.org/10.1063/1.4912921

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Publication Date: Jan 1, 2015

Citations: 8

Affiliation: Kyoto University, Kyoto Prefectural University, Engineering Systems (United States)

#Discrete Hungry Toda Equation #Discrete Toda Equation + Show 8 more

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Abstract

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.

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