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Interval iterative methods for computing Moore-Penrose inverse

delete2006-12-01
delete11
PRE
AI
X
Xian Zhang
C
Cai, Jian-Feng
魏益民 (Yimin Wei) *
DOI:10.1016/j.amc.2006.05.098delete
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Abstract

Abstract

En 中文
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. (c) 2006 Elsevier Inc. All rights reserved.
Keywords:
interval method
Newton iteration
Moore-Penrose inverse

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

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