The generalized eigenvalue problem

Social, or ̳generalized‘, trust refers to beliefs that people hold about how other people in society will in general act towards them. Can people in general be trusted? Or must one be careful in dealing with people? Research on the antecedents of social trust has typically relied on cross-sectional regression estimators to evaluate putative causes. Our contention is that much of this research o...

The state-of-the-art algorithms for solving the trust-region subproblem are based on an iterative process, involving solutions of many linear systems, eigenvalue problems, subspace optimization, or line search steps. A relatively underappreciated fact, due to Gander, Golub and von Matt in 1989, is that trust-region subproblems can be solved by one generalized eigenvalue problem, with no outer i...

We have recently proposed a manifold-based trust-region method to compute extreme eigenpairs of symmetric matrix pencils [3]. The general optimization method had been shown [1, 2] to enjoy strong global and local convergence properties, which are inherited by its ”brute force” application to the extreme eigenproblem. However, the trust-region mechanism, which restricts the norm of the update in...

We present a trust model extension that attempts to relax the assumptions that are currently taken by the majority of existing trust models: (i) proven identity of agents, (ii) repetitive interactions and (iii) similar trusting situations. The proposed approach formalizes the situation (context) and/or trusted agent identity in a multi-dimensional Identity-Context feature space, and attaches th...

BACKGROUND The aim of this study was to investigate whether generalized trust and/or social participation at an individual level have negative associations with unmet healthcare needs. METHODS Door-to-door interviews were conducted by trained interviewers to collect information. The 8,800 study participants included 220 adults sampled systematically using the resident registration database fr...

Computing a few eigenpairs of large-scale matrices is a significant problem in science and engineering applications and a very active area of research. In this paper, two methods that compute extreme eigenpairs of positive-definite matrix pencils are combined into a hybrid scheme that inherits the advantages of both constituents. The hybrid algorithm is developed and analyzed in the framework o...

This research investigated trust and reciprocity in two experiments using the Trust Game. In the Trust Game, Player 1 can ‘‘trust’’ an unknown Player 2 by sending some portion of a monetary endowment. The amount sent triples on its way to Player 2, who can then ‘‘reciprocate’’ by returning as much as he or she wishes to Player 1. Initial endowments were either $10 or $20 and were known to recip...

the main questions of paper are what are indicators of social development? what is the weight of each of the selected social development indices with weights valuation (entropy), based on 2007 data in iran? how is rating of social development indicators based on the weight of them in iran's provinces and what is the relationship between the scores of social capital and social development s...