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Hardware architectures for eigenvalue computation of real symmetric matrices

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3 Author(s)
Liu, Y. ; Dept. of Electr. & Electron. Eng., Imperial Coll. London, London ; Bouganis, C.-S. ; Cheung, P.Y.K.

Computation of eigenvalues is essential in many applications in the fields of science and engineering. When the application of interest requires the computation of eigenvalues of high throughput or real-time performance, a hardware implementation of an eigenvalue computation block is often employed. The problem of eigenvalue computation of real symmetric matrices is focused upon. For the general case of a symmetric matrix eigenvalue problem, the approximate Jacobi method is proposed, where for the special case of a 3times3 symmetric matrix, an algebraic-based method is introduced. The proposed methods are compared with various other approaches reported in the literature. Results obtained by mapping the above architectures on a field programmable gate array device illustrate the advantages of the proposed methods over the existing ones.

Published in:

Computers & Digital Techniques, IET  (Volume:3 ,  Issue: 1 )