This work shows that the BFGS method and other methods in the Broyden class, with exact line searches, may fail for non-convex objective functions.

There are many examples of 3-folds of general type with χ(O) = 1 found by Fletcher and Reid about twenty years ago. Fletcher has ever proved P12(X) ≥ 1 and P24(X) ≥ 2 for all minimal 3-folds X of general type with χ(OX) = 1. In this paper, we improve on Fletcher’s method. Our main result is that φm is birational onto its image for allm ≥ 63. To prove this we will show Pm ≥ 1 for all m ≥ 14 and ...

This scientific commentary refers to ‘A robust brain signature region approach for episodic memory performance in older adults’ by Fletcher et al. (doi:10.1093/brain/awab007).

5Improving Hemophilia Care Using the Electronic Health Record: A Single Institution Experience Beth Mazzone, RN Fleming L, Flowers D, Libby K, Parenteau E, Zakai N, Sprague JR, Cushman M, Homans A, Holmes CE Fletcher Allen Health Care 6Enhancing Nurses’ Knowledge and Confidence in the Management and Care for Patients Requiring High-Frequency Oscillatory Ventilation (HFOV) in an Adult Intensiv...