Improved Harmony Search Algorithm with Chaos for Absolute Value Equation

Longquan Yong (Xidian University, Shaanxi University of Technology)
Sanyang Liu (Xidian University)
Shouheng Tuo (Xidian University)
Kai Gao (Xidian University)

TELKOMNIKA (Telecommunication Computing Electronics and Control)
Vol 11, No 4: December 2013

 In this paper, an improved harmony search with chaos (HSCH) is presented for solving NP-hard absolute value equation (AVE) Ax - |x| = b, where A is an arbitrary square matrix whose singular values exceed one. The simulation results in solving some given AVE problems demonstrate that the HSCH algorithm is valid and outperforms the classical HS algorithm (HS) and HS algorithm with differential mutation operator (HSDE).