The modified Uzawa methods for solving singular linear systems.
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| Title: | The modified Uzawa methods for solving singular linear systems. |
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| Authors: | Yu, Xiaojuan1 (AUTHOR), Ma, Changfeng1,2 (AUTHOR) macf@fjnu.edu.cn |
| Source: | Computers & Mathematics with Applications. Dec2021, Vol. 104, p71-86. 16p. |
| Subjects: | Linear systems, Singular value decomposition |
| Abstract: | For nonsingular linear systems, Yun in 2013 studied three variants of the Uzawa method; see Yun (2013) [18]. These methods contain the Uzawa-AOR method and the Uzawa-SAOR method as special cases. On the basis of the Uzawa-AOR method and the Uzawa-SAOR method, Li in 2017 proposed two modified Uzawa methods by constructing the coefficient matrix of AOR method into a new form of the product of lower triangular matrix and upper triangular matrix; see Li (2017) [26]. In this paper, we present two modified Uzawa methods for solving singular linear systems. The semi-convergence of these methods is analyzed by using the techniques of singular value decomposition and Moore-Penrose inverse. The numerical results are used to verify the theoretical results. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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