TY - JOUR A2 - Bertaccini, Daniele AU - Dai, Zhifeng PY - 2014 DA - 2014/08/06 TI - Extension of Modified Polak-Ribière-Polyak Conjugate Gradient Method to Linear Equality Constraints Minimization Problems SP - 921364 VL - 2014 AB - Combining the Rosen gradient projection method with the two-term Polak-Ribière-Polyak (PRP) conjugate gradient method, we propose a two-term Polak-Ribière-Polyak (PRP) conjugate gradient projection method for solving linear equality constraints optimization problems. The proposed method possesses some attractive properties: (1) search direction generated by the proposed method is a feasible descent direction; consequently the generated iterates are feasible points; (2) the sequences of function are decreasing. Under some mild conditions, we show that it is globally convergent with Armijio-type line search. Preliminary numerical results show that the proposed method is promising. SN - 1085-3375 UR - https://doi.org/10.1155/2014/921364 DO - 10.1155/2014/921364 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -