Upper-triangulization of non-symmetric matrices using Sanger's Type learning systems

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Abstract

New minor and principal component flows are derived and analyzed in terms of global stability and properties of the limiting solutions. These systems which are of Sanger's type are specifically explored in terms of their applicability to symmetric and non-symmetric matrices. Analytical proofs of global stability and conditions under which the limiting solutions upper-triangulize a given matrix are given.

Original languageEnglish (US)
Article number4252808
Pages (from-to)1009-1012
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
StatePublished - Sep 27 2007
Event2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007 - New Orleans, LA, United States
Duration: May 27 2007May 30 2007

Keywords

  • Global convergence
  • Liapunov stability
  • MCA/PCA for non-symmetric matrices
  • Minor components
  • Oja's learning rule
  • Principal components

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