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In this paper globally stable dynamical systems for the standard and the generalized eigenvalue problem are developed. These systems may be viewed as generalizations of known learning rules applied to nondefinite and/or nonsymmetric matrices. We also modified the original Oja's systems to obtain new dynamical systems with a larger domain of attraction. For certain class of matrices which satisfy positive definiteness condition, the modified rules are globally stable. The convergence behavior has been examined to identify the stationarity conditions, stability conditions, and domains of attraction for some of these systems
Published in:
Sensor Array and Multichannel Processing, 2006. Fourth IEEE Workshop on
Date of Conference: 12-14 July 2006
- Page(s):
- 531 - 535
- Print ISBN:
- 1-4244-0308-1
- INSPEC Accession Number:
- 9086134
- Conference Location :
- Waltham, MA
- Digital Object Identifier :
- 10.1109/SAM.2006.1706190
- Product Type:
- Conference Publications
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