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