Interval iterative methods for computing Moore-Penrose inverse

Xian Zhang; Jianfeng Cai; Yimin Wei

doi:10.1016/j.amc.2006.05.098

Interval iterative methods for computing Moore-Penrose inverse

Xian Zhang, Jianfeng Cai, Yimin Wei^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

14 Citations (Scopus)

Abstract

In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton iteration by interval method, we can get better numerical results. The convergence of the interval iteration is proven. We also give some numerical examples to compare interval iteration with classical Newton iteration.

Original language	English
Pages (from-to)	522-532
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	183
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2006.05.098
Publication status	Published - 1 Dec 2006
Externally published	Yes

Keywords

Interval method
Moore-Penrose inverse
Newton iteration

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10.1016/j.amc.2006.05.098

Cite this

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title = "Interval iterative methods for computing Moore-Penrose inverse",

abstract = "In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton iteration by interval method, we can get better numerical results. The convergence of the interval iteration is proven. We also give some numerical examples to compare interval iteration with classical Newton iteration.",

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author = "Xian Zhang and Jianfeng Cai and Yimin Wei",

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AU - Zhang, Xian

AU - Cai, Jianfeng

AU - Wei, Yimin

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N2 - In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton iteration by interval method, we can get better numerical results. The convergence of the interval iteration is proven. We also give some numerical examples to compare interval iteration with classical Newton iteration.

AB - In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton iteration by interval method, we can get better numerical results. The convergence of the interval iteration is proven. We also give some numerical examples to compare interval iteration with classical Newton iteration.

KW - Interval method

KW - Moore-Penrose inverse

KW - Newton iteration

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UR - https://openalex.org/W2042039906

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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Interval iterative methods for computing Moore-Penrose inverse

Abstract

Keywords

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