The recent measure function of Byrd and Nocedal [SIAM J. Numer. Anal., 26 (1989), pp. 727-739] is considered and simple proofs of some of its properties are given. It is then shown that the BFGS and DFP formulae satisfy a least change property with respect to this new measure.
机构:
Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R ChinaChongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
Peng, Jianwen
Zhang, Xue-Qing
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Sichuan Int Studies Univ, Sch Int Business & Management, Chongqing 400031, Peoples R ChinaChongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
Zhang, Xue-Qing
Zhang, Tao
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Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R ChinaChongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China