شماره ركورد كنفرانس :
3502
عنوان مقاله :
Optimal Error Correction of the Absolute Value Equation
Author/Authors :
Hossein Moosaei Department of Mathematics - Faculty of Science - University of Bojnord, Bojnord ,Iran , Saed Ketabchi Department of Applied Mathematics - Faculty of Mathematical Sciences - University of Guilan, Rasht, Iran
كليدواژه :
Absolute value equation , Fractional programming , Trust region subproblem
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
In this paper, we have studied the optimum correction of absolute value equation (AVE) through making minimal changes in the coefficient matrix and the right hand side using l2 norm. Solving this problem is equal to solving a nonconvex and fractional quadratic problem. We change the fractional problem to a quadratic constrained problem which is similar to the trust region subproblem. We apply the bisection method to the aforesaid problem and managed to solve the fractional programming problem.
