Local convergence of quasi-Newton methods under metric regularity

We consider quasi-Newton methods for generalized equations in Banach spaces under metric regularity and give a sufficient condition for q-linear convergence. Then we show that the well-known Broyden update satisfies this sufficient condition in Hilbert spaces. We also establish various modes of q-superlinear convergence of the Broyden update under strong metric subregularity, metric regularity and strong metric regularity. In particular, we show that the Broyden update applied to a generalized equation in Hilbert spaces satisfies the Dennis–Moré condition for q-superlinear convergence. Simple numerical examples illustrate the results.

Project SCORE! Coaches’ Perceptions of an Online Tool to Promote Positive Youth Development in Sport

Research points to the potential of youth sport as an avenue to support the growth of particular assets and outcomes. A recurring theme in this line of research is the need to train coaches to deliberately deliver themes relating to positive youth development (PYD) consistently in youth sport programs. The purpose of the study was to design and deliver a technology-based PYD program. Project SCORE! (www.projectscore.ca) is a series of 10 lessons to help coaches integrate PYD into sport. Four youth sport coaches completed the program in this first phase of this research and were interviewed. The goal of this study was to gain some insights from coaches as they completed the program. Positive comments about the program (i.e. ease of use, success of particular lessons, coach’s personal growth) and challenges regarding teaching positive skills to youth are discussed. These results helped to shape the program and make necessary changes so that it may be used for a larger research study. Other implications and future research directions are discussed.

Productivity and Credit Constraints: Firm-Level Evidence from Propensity Score Matching. Factor Markets Working Paper No. 3, September 2011

Drawing on a unique, farm-level panel dataset with 37,409 observations and employing a matching estimator, this paper analyses how farm access to credit affects farm input allocation and farm efficiency in the Central and Eastern European transition countries. We find that farms are asymmetrically credit constrained with respect to inputs. Farm use of variable inputs and capital investment increases up to 2.3% and 29%, respectively, per €1,000 of additional credit. Our estimates also suggest that farm access to credit increases total factor productivity up to 1.9% per €1,000 of additional credit, indicating that an improvement in access to credit results in an adjustment in the relative input intensities on farms. This finding is further supported by a negative effect of better access to credit on labour, suggesting that these two are substitutes. Interestingly, farms are found not to be credit constrained with respect to land.

Explora: A Visualisation Tool for Metric Analysis of Software Corpora

When analysing software metrics, users find that visualisation tools lack support for (1) the detection of patterns within metrics; and (2) enabling analysis of software corpora. In this paper we present Explora, a visualisation tool designed for the simultaneous analysis of multiple metrics of systems in software corpora. Explora incorporates a novel lightweight visualisation technique called PolyGrid that promotes the detection of graphical patterns. We present an example where we analyse the relation of subtype polymorphism with inheritance and invocation in corpora of Smalltalk and Java systems and find that (1) subtype polymorphism is more likely to be found in large hierarchies; (2) as class hierarchies grow horizontally, they also do so vertically; and (3) in polymorphic hierarchies the length of the name of the classes is orthogonal to the cardinality of the call sites.

Highway signs: conversion to metric units could be costly.

Mode of access: Internet.

Novello's glee-hive : a collection of popular glees and madrigals in vocal score, with ad lib. accompaniment for the pianoforte.

Contains 83 glees and madrigals for various combinations of voices, with optional piano accompaniment.

Arion : a collection of four-part songs for male voices, in separate vocal parts with piano score, mainly to be sung without accompaniment /

Mode of access: Internet.

Weber's celebrated Mass in E flat : in vocal score with an accompaniment for the organ or piano-forte /

At head of title: Ditson & co's. uniform edition of Haydn's, Mozart's and Beethoven's masses.