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On the evaluation of matrix polynomials using several GPGPUs

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On the evaluation of matrix polynomials using several GPGPUs

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dc.contributor.author Alonso Jordá, Pedro es_ES
dc.contributor.author Boratto, Murilo es_ES
dc.contributor.author Peinado Pinilla, Jesús es_ES
dc.contributor.author Ibáñez González, Jacinto Javier es_ES
dc.contributor.author Sastre Martinez, Jorge es_ES
dc.date.accessioned 2014-09-15T07:17:22Z
dc.date.available 2014-09-15T07:17:22Z
dc.date.issued 2014-09-15
dc.identifier.uri http://hdl.handle.net/10251/39615
dc.description.abstract Computing a matrix polynomial is the basic process in the calculation of functions of matrices by the Taylor method. One of the most efficient techniques for computing matrix polynomials is based on the Paterson– Stockmeyer method. Inspired by this method, we propose in this work a recursive algorithm and an efficient implementation that exploit the heterogeneous nature of current computers to evaluate large scale matrix polynomials is the shortest possible time. Heterogeneous computers are those which have any type of hardware accelerator(s). For these type of computers, we propose a method to easily implement efficient algorithms that use several hardware accelerators in parallel. This methodology is built on the last versions of the OpenMP standard for implementing paral- lel algorithms on shared memory multiprocessors. In particular, we have used NVIDIA© cards, but the proposal can be readily generalized to other type of devices acting as coprocessors. In addition, we provide a high-level interface in Matlab© to be used by any researcher who is not aware of parallelism nor of other programming issues. es_ES
dc.format.extent 19 es_ES
dc.language Inglés es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Matlab es_ES
dc.subject CUBLAS es_ES
dc.subject GPGPU es_ES
dc.subject Function of matrices es_ES
dc.subject Matrix polynomial es_ES
dc.subject CUDA es_ES
dc.subject.classification ARQUITECTURA Y TECNOLOGIA DE COMPUTADORES es_ES
dc.title On the evaluation of matrix polynomials using several GPGPUs es_ES
dc.type Informe es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Sistemas Informáticos y Computación - Departament de Sistemes Informàtics i Computació es_ES
dc.description.bibliographicCitation Alonso Jordá, P.; Boratto, M.; Peinado Pinilla, J.; Ibáñez González, JJ.; Sastre Martinez, J. (2014). On the evaluation of matrix polynomials using several GPGPUs. http://hdl.handle.net/10251/39615. es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES


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