title: Convergence analysis of deterministic discrete time system of a unified self-stabilizing algorithm for PCA and MCA.
abstract: Unified algorithms for principal and minor components analysis can be used to extract principal components and if altered simply by the sign, it can also serve as a minor component extractor. Obviously, the convergence of these algorithms is an essential issue in practical applications. This paper studies the convergence of a unified PCA and MCA algorithm via a corresponding deterministic discrete-time (DDT) system and some sufficient conditions to guarantee convergence are obtained. Simulations are carried out to further illustrate the theoretical results achieved.
authors.affiliation: The Xi'an Research Institute of High Technology, Xi'an Shaanxi 710025, PR China. xiangyukong01@163.com
authors.forename: Xiangyu
authors.initials: X
authors.lastname: Kong
authors.forename: Qiusheng
authors.initials: Q
authors.lastname: An
authors.forename: Hongguang
authors.initials: H
authors.lastname: Ma
authors.forename: Chongzhao
authors.initials: C
authors.lastname: Han
authors.forename: Qi
authors.initials: Q
authors.lastname: Zhang
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D016571:Neural Networks, Computer; D025341:Principal Component Analysis; D013995:Time