A numerically stable high-order Chebyshev-Halley type multipoint iterative method for calculating matrix sign function

A numerically stable high-order Chebyshev-Halley type multipoint iterative method for calculating matrix sign function

A new eighth-order Chebyshev-Halley type iteration is proposed for solving nonlinear equations and matrix sign function. Basins of attraction show that several special cases of the new method are globally convergent. It is analytically proven that the new method is asymptotically stable and the new...

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Bibliographic Details
Main Authors: Xiaofeng Wang, Ying Cao
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:AIMS Mathematics
Subjects:
chebyshev-halley family
iterative method
basin of attraction
matrix sign function
stability
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023625?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023625?viewType=HTML

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