Two fast algorithms for finding the solution of the lower Hessenberg quasi-Toeplitz linear system from Markov chain

Abstract We present two fast algorithms for finding the solution of the nonsingular lower Hessenberg quasi-Toeplitz linear system stem from Markov chain. And we confirm the complexity of these two algorithms is both O $$(n\log n)$$ based on the fact that a lower Hessenberg quasi-Toeplitz matrix can...

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Bibliographic Details
Main Authors: Yaru Fu, Xiaoyu Jiang, Yanpeng Zheng, Zhaolin Jiang
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-06791-3
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