Dynamical System for Computing the Eigenvectors Associated with the Largest Eigenvalue of a Positive Definite Matrix

Qingfu Zhang; Zheng Bao

doi:10.1109/72.377989

Dynamical System for Computing the Eigenvectors Associated with the Largest Eigenvalue of a Positive Definite Matrix

Qingfu Zhang, Zheng Bao

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

30 Citations (Scopus)

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. Our results suggest that the weight-bounding term in PCA algorithms for extracting the first principal component could assume a class of forms. © 1995, IEEE. All rights reserved.

Original language	English
Pages (from-to)	790-791
Journal	IEEE Transactions on Neural Networks
Volume	6
Issue number	3
DOIs	https://doi.org/10.1109/72.377989
Publication status	Published - May 1995
Externally published	Yes

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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. Our results suggest that the weight-bounding term in PCA algorithms for extracting the first principal component could assume a class of forms. {\textcopyright} 1995, IEEE. All rights reserved.",

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AB - 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. Our results suggest that the weight-bounding term in PCA algorithms for extracting the first principal component could assume a class of forms. © 1995, IEEE. All rights reserved.

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JO - IEEE Transactions on Neural Networks

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Dynamical System for Computing the Eigenvectors Associated with the Largest Eigenvalue of a Positive Definite Matrix

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