The Sinkhorn-Knopp algorithm : convergence and applications

As long as a square nonnegative matrix A contains sufficient nonzero elements, then the Sinkhorn-Knopp algorithm can be used to balance the matrix, that is, to find a diagonal scaling of A that is doubly stochastic. It is known that the convergence is linear, and an upper bound has been given for the rate of convergence for positive matrices. In this paper we give an explicit expression for the rate of convergence for fully indecomposable matrices. We describe how balancing algorithms can be used to give a measure of web page significance. We compare the measure with some well known alternatives, including PageRank. We show that, with an appropriate modi. cation, the Sinkhorn-Knopp algorithm is a natural candidate for computing the measure on enormous data sets

Envelope Surfaces, Surface Design and Meshing

Voor het ontwerpen van producten wordt veel gebruik gemaakt van computerprogramma's die driedimensionale modellen kunnen maken met een soort virtuele klei. Met zo'n model wordt het product zichtbaar, maar het model kan ook worden gebruikt voor het testen van het product. Bekend zijn de voorbeelden uit de auto- en luchtvaartindustrie, maar ook gewone consumentenproducten worden met behulp van deze modellen ontwikkeld. Nico Kruithof beschrijft in zijn proefschrift een nieuwe methode voor het modelleren van zulke oppervlakken en beschrijft de wiskundige methoden die eraan ten grondslag liggen

The Acceptance of New Religions on Java in the Nineteenth Century and the Emergence of Various Muslim and Christian Currents

Abstract  My Ph.D.- dissertation analyzes the work of six Dutch missionaries on Java in the period of 1850 until 1920. Besides analyzing their proselytizing strategies, I reserched on the missionaries’ reflections on their work and the reformed strategies that followed those reflections and their views on the religious context they worked in as well as how they perceived the process of admission of new religions. My focus is not only on the arrival and acceptance of Christianity, but also the Islamization process of Java, since the missionaries tried to elucidate that procesin order to benefit from it. As part of my dissertation, this paper will focus on the formation of various Muslim and Christian currents in the second half of the nineteenth century in order to elucidate the process of religious adaptation on Java