A Smoothing Technique for the Minimum Norm Solution of Absolute Value Equation

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

MOOSAEI H.; KETABCHI S.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Journal of Operational Research in its Applications Year:2019 | Volume:16 | Issue:1 (60) Page(s): 1-9

Download Full-Text

Persian Verion

View:

860

Download:

Cites:

Information Journal Paper

Title

A Smoothing Technique for the Minimum Norm Solution of Absolute Value Equation

Author(s)

MOOSAEI H. | KETABCHI S. | Issue Writer Certificate

Keywords

Absolute Value EquationQ1

Augmented Lagrangian MethodQ1

Minimum Norm SolutionQ1

Smoothing TechniquesQ1

Abstract

One of the issues that has been considered by the researchers in terms of theory and practice is the problem of finding Minimum Norm Solution. In fact, in general, Absolute Value Equation may have infinitely many solutions. In such cases, the best and most natural choice is the solution with the minimum norm. In this paper, the minimum norm-1 solution of Absolute Value Equation is investigated. By applying the Augmented Lagrangian Method, this problem can be reduced to an unconstrained optimization problem with once differentiable objective function. To use Newton method, we apply the Smoothing Techniques. Computational results show that convergence to high accuracy often occurs in just a few iterations.

Cites

No record.

References

No record.

Cite

APA: Copy

MOOSAEI, H., & KETABCHI, S.. (2019). A Smoothing Technique for the Minimum Norm Solution of Absolute Value Equation. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 16(1 (60) ), 1-9. SID. https://sid.ir/paper/164500/en

Vancouver: Copy

MOOSAEI H., KETABCHI S.. A Smoothing Technique for the Minimum Norm Solution of Absolute Value Equation. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2019;16(1 (60) ):1-9. Available from: https://sid.ir/paper/164500/en

IEEE: Copy

H. MOOSAEI, and S. KETABCHI, “A Smoothing Technique for the Minimum Norm Solution of Absolute Value Equation,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 16, no. 1 (60) , pp. 1–9, 2019, [Online]. Available: https://sid.ir/paper/164500/en

Related Journal Papers