Convergence Analysis of the Splitting-Based Iterative Method for Solving Generalized Saddle Point Problems

In this paper, we present a parameterized inexact Uzawa type method for solving a class of large sparse generalized saddle point problems, and analyze its convergence using a different approach from those utilized in the existing literature. Some numerical results are given to illustrate the effecti...

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Bibliographic Details
Published inMediterranean journal of mathematics Vol. 18; no. 6
Main Authors Dai, Lifang, Liang, Maolin, Li, Qun
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2021
Springer Nature B.V
Subjects
Convergence
Iterative methods
Mathematics
Mathematics and Statistics
Saddle points
65F50
inexact Uzawa method
65F10
the GPIU method
Generalized saddle point problems
parameterized Uzawa method
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Summary:In this paper, we present a parameterized inexact Uzawa type method for solving a class of large sparse generalized saddle point problems, and analyze its convergence using a different approach from those utilized in the existing literature. Some numerical results are given to illustrate the effectiveness of the proposed method.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-021-01906-2