Eigenvalue computations in the context of data-sparse approximations of integral operators

In this work, we consider the numerical solution of a large eigenvalue problem resulting from a finite rank discretization of an integral operator. We are interested in computing a few eigenpairs, with an iterative method, so a matrix representation that allows for fast matrix-vector products is required. Hierarchical matrices are appropriate for this setting, and also provide cheap LU decompositions required in the spectral transformation technique. We illustrate the use of freely available software tools to address the problem, in particular SLEPc for the eigensolvers and HLib for the construction of H-matrices. The numerical tests are performed using an astrophysics application. Results show the benefits of the data-sparse representation compared to standard storage schemes, in terms of computational cost as well as memory requirements.

An interactive state monad example

A common problem among information systems is the storage and maintenance of permanent information identified by a key. Such systems are typically known as data base engines or simply as data bases. Today the systems information market is full of solutions that provide mass storage capacities implemented in different operating system and with great amounts of extra functionalities. In this paper we will focus on the formal high level specification of data base systems in the Haskell language. We begin by introducing a high level view of a data base system with a specification of the most common operations in a functional point of view. We then augment this specification by lifting to the state monad which is then modified once again to permit input/output operations between the computations

The host-tourist interaction in a world heritage site: the case of Guimarães

Guimarães, in the northwest of Portugal, is a city of strong symbolic and cultural significance and its nomination by UNESCO as world heritage, in 2001, enlarged its tourism potential. In this paper we present a few results of a survey that envisaged capturing the Guimarães residents’ perceptions of tourism impacts and their attitudes towards tourists. Specifically, one analyzes the type of relationship that exists between some socio-demographic groups and the perceived tourism impacts, as well as their socio-characteristics and the existing level of interaction between residents and tourists. The survey was implemented between January and March 2010 to a convenience sample of 540 inhabitants of the municipality of Guimarães resulting in 400 questionnaires with complete data. For this, we made use of various statistical techniques. Using a factorial analysis, we can conclude that the three factors used explain 52.3% of the variance contained in the original variables obtained from the survey. By another side, using a logit model in the analysis and taking as the dependent variable the frequent or very frequent contact with tourists, we found that only the variables referred to perceived positive impacts of tourism, education and the place of residence in urban areas have shown to be statistically significant. We are aware of the multiple ways the issue of residents’ perceptions and attitudes towards tourism can be approached and of the difficulties to get useful policy-oriented insights. This paper is a step in that trail.

Error bounds for low-rank approximations of the first exponential integral kernel

A hierarchical matrix is an efficient data-sparse representation of a matrix, especially useful for large dimensional problems. It consists of low-rank subblocks leading to low memory requirements as well as inexpensive computational costs. In this work, we discuss the use of the hierarchical matrix technique in the numerical solution of a large scale eigenvalue problem arising from a finite rank discretization of an integral operator. The operator is of convolution type, it is defined through the first exponential-integral function and, hence, it is weakly singular. We develop analytical expressions for the approximate degenerate kernels and deduce error upper bounds for these approximations. Some computational results illustrating the efficiency and robustness of the approach are presented.

Does gender affect visiting a world heritage site?

The city of Guimarães in Portugal is a place of strong symbolic and cultural significance, and the nomination of its historical center as a World Heritage Site in 2001 enhanced its tourism potential. This study presents the results of a survey conducted in 2010 and 2011 to capture the profile and motivations of tourists visiting Guimarães as a cultural tourism destination. The study addressed two main issues: whether males and females have similar or different preferences in choosing the city as their destination, and whether there are gender differences in the perception of the attributes of Guimarães. A better understanding of the gendered nature of the destination is a valuable cue for shaping products and services according to visitors’ preferences. The results suggest that both men and women are aware of the main elements responsible for the city’s World Heritage status. That the destination is a Heritage Site that also offers the opportunity to tour the region has a significant positive effect on male tourists’ choice of Guimarães. Regarding the perceived attributes of the city, results indicate minor gender differences with one exception: Women expressed more apprehension than men regarding the perceived security of the destination.

How does gender affect visiting a world heritage site?: the case study of Guimarães

To date few studies have been undertaken in Portugal dealing with the attitudes, motivations, and profile of tourists who visit World Heritage Sites. Also, few studies have dealt with destination image (e.g., Agapito, Mendes & Valle, 2010; Lopes, 2011). As far as it is known, none have approached the issue of gender differences in the choice of a Portuguese heritage destination. Since cultural tourism destinations need to differentiate themselves from each other, appropriate market segmentation must be based on a deep understanding of the customers’ motivations and preferences. Keeping in mind results from empirical literature (e.g., Silberberg, 1995; Beerli & Martin, 2004; Richards, 2004; Pérez, 2009; Sheng, Shen, & Chen, 2008), gender seems to be a possible approach to market segmentation, whether for Guimarães or for other cultural tourism destinations around the world. Located in the north-western region of Portugal, Guimarães is a city of strong symbolic and cultural significance, and the nomination of its historical centre as a World Heritage Site in 2001 enhanced its tourism potential. This study analyses the possible relation between gender and attitudes and motivations towards a World Heritage Site, such as Guimarães. Additionally, the empirical approach used in the study tries to capture differences in the perceived attributes of the city. Commonalities and distinctions within and between groups of tourists, by focusing on the specific characteristic of gender, were analysed. The study addressed two main questions: first, whether males and females have similar or different preferences in choosing the city as their destination; and, second, whether there are gender differences in the perception of the attributes of Guimarães. A better understanding of the gendered nature of the destination is a valuable cue for shaping products and services according to visitors’ preferences.

Does Gender Affect Visiting a World Heritage Site?

The city of Guimar˜aes in Portugal is a place of strong symbolic and cultural significance, and the nomination of its historical center as a World Heritage Site in 2001 enhanced its tourism potential. This study presents the results of a survey conducted in 2010 and 2011 to capture the profile and motivations of tourists visiting Guimar˜aes as a cultural tourism destination. The study addressed two main issues: whether males and females have similar or different preferences in choosing the city as their destination, and whether there are gender differences in the perception of the attributes of Guimar˜aes. A better understanding of the gendered nature of the destination is a valuable cue for shaping products and services according to visitors’ preferences. The results suggest that both men and women are aware of the main elements responsible for the city’s World Heritage status. That the destination is a Heritage Site that also offers the opportunity to tour the region has a significant positive effect on male tourists’ choice of Guimar˜aes. Regarding the perceived attributes of the city, results indicate minor gender differences with one exception: Women expressed more apprehension than men regarding the perceived security of the destination.