AUGMENTED LAGRANGIAN METHOD FOR FINDING MINIMUM NORM SOLUTION TO THE ABSOLUTE VALUE EQUATION

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KETABCHI S.; MOOSAEI H.

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Paper Information

Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2017 | Volume:7 | Issue:2 Page(s): 57-64

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Information Journal Paper

Title

AUGMENTED LAGRANGIAN METHOD FOR FINDING MINIMUM NORM SOLUTION TO THE ABSOLUTE VALUE EQUATION

Author(s)

KETABCHI S. | MOOSAEI H. | Issue Writer Certificate

Keywords

ABSOLUTE VALUE EQUATIONQ1

MINIMUM NORM SOLUTIONQ1

GENERALIZED NEWTON METHODQ1

AUGMENTED LAGRANGIAN METHODQ1

Abstract

‎In this paper‎, ‎we give an algorithm to compute the minimum 1-norm solution to the ABSOLUTE VALUE EQUATION (AVE)‎. ‎The AUGMENTED LAGRANGIAN METHOD is investigated for solving this problems‎ . ‎This approach leads to an unconstrained minimization problem with once differentiable convex objective function‎. ‎We propose a quasi-Newton method for solving unconstrained optimization problem‎. ‎Computational results show that convergence to high accuracy often occurs in just a few iterations‎.

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APA: Copy

KETABCHI, S., & MOOSAEI, H.. (2017). AUGMENTED LAGRANGIAN METHOD FOR FINDING MINIMUM NORM SOLUTION TO THE ABSOLUTE VALUE EQUATION. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 7(2), 57-64. SID. https://sid.ir/paper/260824/en

Vancouver: Copy

KETABCHI S., MOOSAEI H.. AUGMENTED LAGRANGIAN METHOD FOR FINDING MINIMUM NORM SOLUTION TO THE ABSOLUTE VALUE EQUATION. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2017;7(2):57-64. Available from: https://sid.ir/paper/260824/en

IEEE: Copy

S. KETABCHI, and H. MOOSAEI, “AUGMENTED LAGRANGIAN METHOD FOR FINDING MINIMUM NORM SOLUTION TO THE ABSOLUTE VALUE EQUATION,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 7, no. 2, pp. 57–64, 2017, [Online]. Available: https://sid.ir/paper/260824/en

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