A technique for maintaining the positive definiteness of the matrices in the quasi-Newton version of the SQP algorithm is proposed. In our algorithm, matrices approximating the Hessian of the augmented Lagrangian are updated. The positive definiteness of these matrices in the space tangent to the constraint manifold is ensured by a so-called piecewise line-search technique, while their positive...

The main result of this paper gives criteria for extendibility of mappings defined on symmetric subsets of ∗-semigroups to positive definite ones. By specifying the mappings in question we obtain new solutions of relevant issues in harmonic analysis concerning truncations of some important multivariate moment problems, like complex, two-sided complex and multidimensional trigonometric moment pr...

This paper demonstrates that bare nouns in Shan (Tai-Kadai) can express both unique and anaphoric definiteness, a distinction first noted by Schwarz (2009). pattern of data as well similar patterns found Serbian Kannada motivate adding category to the typology definiteness marking described Jenks (2018) include languages allow definiteness. An extended type-shifting analysis offers an account a...

A technique for maintaining the positive definiteness of the matrices in the quasi-Newton version of the SQP algorithm is proposed. In our algorithm, matrices approximating the Hessian of the augmented Lagrangian are updated. The positive definiteness of these matrices in the space tangent to the constraint manifold is ensured by a so-called piecewise line-search technique, while their positive...

Abstract This article explores the realization of definiteness in Chuj, an underdocumented Mayan language. I show that Chuj provides support for recent theories distinguish between weak and strong definite descriptions (e.g., Schwarz 2009, 2013; Arkoh Matthewson Hanink 2018; Jenks 2018). A set morphemes called “noun classifiers” contribute a uniqueness presupposition, composing directly with no...

An utterance of (2a) means of course that there is only one author of Waverley – indeed, that is most likely one’s point when one uses (2a). But (2b) can mean that there is strictly more than one author of Waverley, on the reading that can be paraphrased, ‘It’s not the case that only Scott is an author of Waverley’. In (2c) the question may concern the number of authors; if the answer is no, th...