The proximal point algorithm (PPA) has been well studied in the literature. In particular, its linear convergence rate has been studied by Rockafellar in 1976 under certain condition. We consider a generalized PPA in the generic setting of finding a zero point of a maximal monotone operator, and show that the condition proposed by Rockafellar can also sufficiently ensure the linear convergence ...

We discuss 45 Costa Rican species of Ethmia Hübner, 1819, including 23 previously described: Ethmiadelliella (Fernald), Ethmiabittenella (Busck), Ethmiafestiva Busck, Ethmiascythropa Walsingham, Ethmiaperpulchra Walsingham, Ethmiaterpnota Walsingham, Ethmiaelutella Busck, Ethmiajanzeni Powell, Ethmiaungulatella Busck, Ethmiaexornata (Zeller), Ethmiaphylacis Walsingham, Ethmiamnesicosma Meyrick,...

In this article, we explore the effectiveness of different numerical techniques in the training of backpropaqgation neural networks (BPNN) which are fed with wavelet-transformed data to capture useful information on various time scales. The purpose is to predict S&P500 future prices using BPNN trained with conjugate gradient (Fletcher-Reeves update, Polak-Ribiére update, Powell-Beale restart), ...