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Two-parameter magnitude method for solving real preconditioned interval linear equations

delete2025-11-01
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PRE
AI
朱焱 cover
朱焱 (Yan Zhu) *
P
Pu, Lingjian
S
Shi-Liang Wu
DOI:10.1007/s11075-025-02260-0delete
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Abstract

Abstract

En 中文
In this paper, a two-parameter magnitude method (T-Mag) is proposed for solving real preconditioned interval systems of linear equations. By introducing two parameters, the proposed method generalizes the magnitude (Mag) method by Hlad & iacute;k (SIAM J. Numer. Anal. 52, 194-206, 2014) and produces a tighter enclosure. We establish the theoretical foundation and rigorously prove the key properties of the proposed method. Finally, some numerical examples are employed to verify the effectiveness of the proposed method.
Keywords:
Linear interval systems
Solution set
Two-parameter magnitude method

Journal

N
Numerical Algorithms
IF:
2
Papers:
181
Citations:
5.5K

Organization

K
kunming university
Scholars:
531
Papers: 171
Citations: 0
Y
yunnan normal university
Scholars:
4.8K
Papers: 2.7K
Citations: 9