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Title

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

Writers

KETABCHI S. | MOOSAEI H.

Pages

 Start Page 57 | End Page 64

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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