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math.NA2023
An isospectral transformation between Hessenberg matrix and Hessenberg-bidiagonal matrix pencil without using subtraction
Katsuki Kobayashi, Kazuki Maeda, Satoshi Tsujimoto
We introduce an eigenvalue-preserving transformation algorithm from the generalized eigenvalue problem by matrix pencil of the upper and the lower bidiagonal matrices into a standa…
math.NA2013★ 7 cited
A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system
Kazuki Maeda, Satoshi Tsujimoto
A generalized eigenvalue algorithm for tridiagonal matrix pencils is presented. The algorithm appears as the time evolution equation of a nonautonomous discrete integrable system a…