Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013)

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A Smoothing Newton Method for Solving Absolute Value Equations

Authors
Xiaoqin Jiang
Corresponding Author
Xiaoqin Jiang
Available Online April 2013.
DOI
10.2991/icsem.2013.94How to use a DOI?
Keywords
Absolute value equations, smoothing Newton method, global convergence, local quadratic convergence.
Abstract

In this paper, we reformulate the system of absolute value equations as a family of parameterized smooth equations and propose a smoothing Newton method to solve this class of problems. we prove that the method is globally and locally quadratically convergent under suitable assumptions. The preliminary numerical results demonstrate that the method is effective.

Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013)
Series
Advances in Intelligent Systems Research
Publication Date
April 2013
ISBN
978-94-91216-42-8
ISSN
1951-6851
DOI
10.2991/icsem.2013.94How to use a DOI?
Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Xiaoqin Jiang
PY  - 2013/04
DA  - 2013/04
TI  - A Smoothing Newton Method for Solving Absolute Value Equations
BT  - Proceedings of the 2nd International Conference On Systems Engineering and Modeling (ICSEM 2013)
PB  - Atlantis Press
SP  - 483
EP  - 489
SN  - 1951-6851
UR  - https://doi.org/10.2991/icsem.2013.94
DO  - 10.2991/icsem.2013.94
ID  - Jiang2013/04
ER  -