We define an index to measure the convexity of a convex function f at each point. We use this index to establish conditions on the convergence of the Halley method in the complex plane and in Banach spaces.
机构:
Salpaus Further Educ, Koulutuskeskus Salpaus, 7 Paasikivenkatu, FI-15110 Lahti, FinlandSalpaus Further Educ, Koulutuskeskus Salpaus, 7 Paasikivenkatu, FI-15110 Lahti, Finland
Bhayo, B. A.
Yin, L.
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机构:
Binzhou Univ, Binzhou City 256603, Shandong, Peoples R ChinaSalpaus Further Educ, Koulutuskeskus Salpaus, 7 Paasikivenkatu, FI-15110 Lahti, Finland
Yin, L.
PROBLEMY ANALIZA-ISSUES OF ANALYSIS,
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