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New type of conjugate gradient algorithms for unconstrained optimization problems

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2 Author(s)
Wu, Caiying ; College of Mathematics Science, Inner Mongolia University, Hohhot 010021, P. R. China ; Chen, Guoqing

Two new formulaes of the main parameter βk of the conjugate gradient method are presented, which respectively can be seen as the modifications of method HS and PRP. In comparison with classic conjugate gradient methods, the new methods take both available gradient and function value information. Furthermore, their modifications are proposed. These methods are shown to be global convergent under some assumptions. Numerical results are also reported.

Published in:

Systems Engineering and Electronics, Journal of  (Volume:21 ,  Issue: 6 )