پديدآورندگان :
Rahpeymaii Farzad Department of Mathematics, Science and research branch, Islamic Azad University, Tehran, Iran. , Amini Keyvan Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran , Allahviranloo Tofigh Department of Mathematics, Science and research branch, Islamic Azad University, Tehran, Iran. , Rostamy Malkhalifeh Mohsen Department of Mathematics, Science and research branch, Islamic Azad University, Tehran, Iran.
كليدواژه :
Absolute value equation , Levenberg , Marquardt approach , conjugate gradient method.
چكيده فارسي :
In this paper, we present a new approach for solving absolute value equation (AVE) which use Levenberg-Marquardt method with conjugate gradient structure. In conjugate gradient methods the new direction obtain by combining steepest descent direction and the previous direction which may not lead to good numerical results. Therefore, we replace the steepest descent direction by the Levenberg–Marquardt direction. The descent property of the direction generated by new algorithm in each iteration is established. The numerical results for an example are reported.
