Title :
Real-time neural computation of the eigenvectors of a matrix
Author :
Luo Fa-Long ; Li Yan-Da
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
Abstract :
This paper proposes a neural network approach for computing in real-time the eigenvectors corresponding to all the eigenvalues of a matrix. We show that the proposed neural network is guaranteed to be stable and to provide the desired eigenvectors with arbitrarily small error during an elapsed time of only a few characteristic time constants of the network.<>
Keywords :
eigenvalues and eigenfunctions; mathematics computing; matrix algebra; neural nets; real-time systems; eigenvalues; eigenvectors; matrix; neural network; neural network approach; real-time neural computation; time constants; Analog computers; Automatic control; Automation; Computer networks; Eigenvalues and eigenfunctions; Integrated circuit interconnections; Neural networks; Neurons; Signal processing; Voltage;
Conference_Titel :
TENCON '93. Proceedings. Computer, Communication, Control and Power Engineering.1993 IEEE Region 10 Conference on
Conference_Location :
Beijing, China
Print_ISBN :
0-7803-1233-3
DOI :
10.1109/TENCON.1993.320129
