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Ítem Solving large systems of linear equations on GPUs(Springer Verlag, 2018-01-01) Llano-Ríos T.F.; Ocampo-García J.D.; Yepes-Ríos J.S.; Correa-Zabala F.J.; Trefftz C.; Universidad EAFIT. Departamento de Ingeniería de Sistemas; I+D+I en Tecnologías de la Información y las ComunicacionesGraphical Processing Units (GPUs) have become more accessible peripheral devices with great computing capacity. Moreover, GPUs can be used not only to accelerate the graphics produced by a computer but also for general purpose computing. Many researchers use this technique on their personal workstations to accelerate the execution of their programs and have often encountered that the amount of memory available on GPU cards is typically smaller than the amount of memory available on the host computer. We are interested in exploring approaches to solve problems with this restriction. Our main contribution is to devise ways in which portions of the problem can be moved to the memory of the GPU to be solved using its multiprocessing capabilities. We implemented on a GPU the Jacobi iterative method to solve systems of linear equations and report the details from the results obtained, analyzing its performance and accuracy. Our code solves a system of linear equations large enough to exceed the card’s memory, but not the host memory. Significant speedups were observed, as the execution time taken to solve each system is faster than those obtained with Intel® MKL and Eigen, libraries designed to work on CPUs. © Springer Nature Switzerland AG 2018.Ítem WeSketch: A 3D real time collaborative virtual environment that improves the GUI sketching task(2010-01-01) Hernández, H.A.; Trefftz, H.; Universidad EAFIT. Departamento de Ingeniería de Sistemas; I+D+I en Tecnologías de la Información y las ComunicacionesMany tools help GUI designers to produce prototypes of their future applications, but when this job requires the collaboration with geographically dispersed partners some problems arise like lack awareness of the others' work, concurrent manipulation of virtual objects and non-fluent communication of actions and intentions. We Sketch allows a small geographically distributed group to build GUI prototypes in a highly participative manner, keeping everyone aware of what is going on. A 3D virtual round table, virtual sheets simulating sketches, avatars representing users, an audio communication system and a shared view of sketches are the pieces that allow designers to discuss and co-design GUIs in real time offering a comfortable and pleasant experience. This paper describes the tool and the results of a set of experiments conducted in order to validate the hypothesis: "WeSketch allows a small group of designers who are geographically dispersed to be more efficient and feel more motivated during the GUI Sketching task than they do with current tools". © 2011 IEEE.