TY - JOUR
ID - 689
TI - A uniform approximation method to solve absolute value equation
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Esmaeili, H.
AU - Mahmoodabadi, E.
AU - Ahmadi, M.
AD - Department of
Mathematics, Bu-Ali Sina University, Hamedan, Iran
AD - Department of
Mathematics, Malayer University, Malayer, Iran
Y1 - 2015
PY - 2015
VL - 41
IS - 5
SP - 1259
EP - 1269
KW - Absolute value equation
KW - Uniform approximation
KW - Newton method
DO -
N2 - In this paper, we propose a parametric uniform approximation method to solve NP-hard absolute value equations. For this, we uniformly approximate absolute value in such a way that the nonsmooth absolute value equation can be formulated as a smooth nonlinear equation. By solving the parametric smooth nonlinear equation using Newton method, for a decreasing sequence of parameters, we can get the solution of absolute value equation. It is proved that the method is globally convergent under some weaker conditions with respect to existing methods. Moreover, preliminary numerical results indicate effectiveness and robustness of our method to solve absolute value equations.
UR - http://bims.iranjournals.ir/article_689.html
L1 - http://bims.iranjournals.ir/article_689_6b5fdd857f308ef88432bda7c9710f7f.pdf
ER -