摘要
As concrns fletcher-Reeues algorithm,Powell showed its convergence in the case of ex- act linear search.In 1985,Al-Baali proved its conver gence when a parameter b2belangs to (0,1/ 2)for inexact linear search.and an open problem was presented for b2 [1/2,1).recently,Lin et al(1993)proved the case if b2=1/2,In this paper,the open problem is solved.
As concrns fletcher-Reeues algorithm,Powell showed its convergence in the case of ex- act linear search.In 1985,Al-Baali proved its conver gence when a parameter b2belangs to (0,1/ 2)for inexact linear search.and an open problem was presented for b2 [1/2,1).recently,Lin et al(1993)proved the case if b2=1/2,In this paper,the open problem is solved.