In this paper we show that Biggs' method retains the Q-superlinear convergence properties of the BFGS exhibited by Broyden, Denis, and More and by Powell. Our proofs show that near the solution of most problems, Biggs' method and the BFGS are essentially the same. We also establish ...
Universal estimates and Liouville theorems for superlinear problems without scale invariancedoi:10.48550/arXiv.2202.02955We revisit rescaling methods for nonlinear ... P Souplet 被引量: 0发表: 2022年 On Local and Superlinear Convergence of Secant Methods for Nonlinear Equations This paper considers local...