Title :
Dynamical system for computing the eigenvectors associated with the largest eigenvalue of a positive definite matrix
Author :
Zhang, Qingfu ; Bao, Zheng
Author_Institution :
Dept. of Comput. Sci., Changsha Inst. of Technol., Hunan, China
fDate :
5/1/1995 12:00:00 AM
Abstract :
A dynamical system for computing the largest eigenpair of a given positive matrix is introduced. Certain qualitative properties of the proposed system are analyzed in detail. The authors´ results suggest that the weight-bounding term in PCA algorithms for extracting the first principal component could assume a class of forms
Keywords :
eigenvalues and eigenfunctions; matrix algebra; PCA algorithms; dynamical system; eigenvectors; largest eigenvalue; positive definite matrix; principal component analysis; qualitative properties; weight-bounding term; Analog computers; Data compression; Differential equations; Eigenvalues and eigenfunctions; Feature extraction; Principal component analysis; Real time systems;
Journal_Title :
Neural Networks, IEEE Transactions on
