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

Title	Implementation in Fpgas of Jacobi Method to Solve the Eigenvalue and Eigenvector Problem
Publication Type	Conference Paper
Año de publicación	2006
Autores	Bravo, I, Jimenez, P, Mazo, M, Lazaro, JL, Gardel, A
Idioma de publicación	English
Conference Name	2006 International Conference on Field Programmable Logic and Applications, FPL.
Páginas	1 - 4
Conference Location	Madrid
Fecha de publicación	08/2006
Numero ISBN	1-4244-0312-X
Palabras clave	eigenvalues and eigenfunctions, field programmable gate arrays, hardware description languages, parallel architectures
DOI	10.1109/FPL.2006.311301
URL	http://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.pdf	221.86 KB

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