Title :
Hardware Efficient Architectures for Eigenvalue Computation
Author :
Liu, Yang ; Bouganis, Christos-Savvas ; Cheung, Peter Y K ; Leong, Philip H W ; Motley, Stephen J.
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll., London
Abstract :
Eigenvalue computation is essential in many fields of science and engineering. For high performance and real-time applications, this may need to be done in hardware. This paper focuses on the exploration of hardware architectures which compute eigenvalues of symmetric matrices. We propose to use the approximate Jacobi method for general case symmetric matrix eigenvalue problem. The paper illustrates that the proposed architecture is more efficient than previous architectures reported in the literature. Moreover, for the special case of 3times3 symmetric matrices, we propose to use an algebraic method. It is shown that the pipelined architecture based on the algebraic method has a significant advantage in terms of area
Keywords :
Jacobian matrices; digital arithmetic; eigenvalues and eigenfunctions; logic design; pipeline processing; real-time systems; Jacobi method; eigenvalue computation; hardware efficient architectures; pipelined architecture; real-time applications; symmetric matrix; Computer architecture; Educational institutions; Eigenvalues and eigenfunctions; Engines; Field programmable gate arrays; Hardware; Jacobian matrices; Optical computing; Symmetric matrices; Throughput;
Conference_Titel :
Design, Automation and Test in Europe, 2006. DATE '06. Proceedings
Conference_Location :
Munich
Print_ISBN :
3-9810801-1-4
DOI :
10.1109/DATE.2006.243838