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    Implementation in Fpgas of Jacobi Method to Solve the Eigenvalue and Eigenvector Problem

    TitleImplementation in Fpgas of Jacobi Method to Solve the Eigenvalue and Eigenvector Problem
    Publication TypeConference Paper
    Año de publicación2006
    AutoresBravo, I, Jimenez, P, Mazo, M, Lazaro, JL, Gardel, A
    Idioma de publicaciónEnglish
    Conference Name2006 International Conference on Field Programmable Logic and Applications, FPL.
    Páginas1 - 4
    Conference LocationMadrid
    Fecha de publicación08/2006
    Numero ISBN1-4244-0312-X
    Palabras claveeigenvalues and eigenfunctions, field programmable gate arrays, hardware description languages, parallel architectures
    DOI10.1109/FPL.2006.311301
    URLhttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4101063&isnumber=4100939
    Abstract

    Jacobi method. This method is able to solve the eigenvalues and eigenvectors concurrently. The main contribution of this work is the low execution time compared with other sequential algorithms, and minimal internal FPGA consumed resources, mainly due to the fact of using the CORDIC algorithm. Two CORDIC modules have been designed to solve the trigonometric operations involved. A parallel CORDIC architecture is proposed as it is the best option to compute the eigenvalues with this method. Both CORDIC modules can work in rotation and vector mode. The whole system has been done in VHDL language, attempting to optimize the design.

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    FPL2006-IBravo.pdf221.86 KB

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