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Variable-parameter MHSS Iteration Methods for a Class of Complex Symmetric Linear Systems.

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Title: Variable-parameter MHSS Iteration Methods for a Class of Complex Symmetric Linear Systems.
Authors: Li, Xu1 lixu@lut.edu.cn, Liu, Xiao-Jie1 2819376934@qq.com
Source: IAENG International Journal of Computer Science. May2026, Vol. 53 Issue 5, p2051-2059. 9p.
Subjects: Iterative methods (Mathematics), Linear systems, Mathematical analysis, Numerical analysis, Mathematical optimization
Abstract: To efficiently solve complex symmetric linear systems, a variable-parameter MHSS (VMHSS) iteration method is developed in the present work. The VMHSS method extends the classical MHSS framework by dynamically updating the iteration parameter at each step. Two practical strategies for selecting the variable parameter sequence are developed, accompanied by a detailed convergence analysis. Extensive numerical tests reveal the superior processing speed of the VMHSS approach relative to comparable existing algorithms. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Computer Science is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Variable-parameter MHSS Iteration Methods for a Class of Complex Symmetric Linear Systems.
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  Data: <searchLink fieldCode="AR" term="%22Li%2C+Xu%22">Li, Xu</searchLink><relatesTo>1</relatesTo><i> lixu@lut.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Liu%2C+Xiao-Jie%22">Liu, Xiao-Jie</searchLink><relatesTo>1</relatesTo><i> 2819376934@qq.com</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Computer+Science%22">IAENG International Journal of Computer Science</searchLink>. May2026, Vol. 53 Issue 5, p2051-2059. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+systems%22">Linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink>
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  Label: Abstract
  Group: Ab
  Data: To efficiently solve complex symmetric linear systems, a variable-parameter MHSS (VMHSS) iteration method is developed in the present work. The VMHSS method extends the classical MHSS framework by dynamically updating the iteration parameter at each step. Two practical strategies for selecting the variable parameter sequence are developed, accompanied by a detailed convergence analysis. Extensive numerical tests reveal the superior processing speed of the VMHSS approach relative to comparable existing algorithms. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Computer Science is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 2051
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      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Linear systems
        Type: general
      – SubjectFull: Mathematical analysis
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Mathematical optimization
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      – TitleFull: Variable-parameter MHSS Iteration Methods for a Class of Complex Symmetric Linear Systems.
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            NameFull: Li, Xu
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            NameFull: Liu, Xiao-Jie
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            – D: 01
              M: 05
              Text: May2026
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              Y: 2026
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            – TitleFull: IAENG International Journal of Computer Science
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