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

Mohammed A. Hasan

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

Electrical Engineering

Research output: Contribution to journal › Conference article › peer-review

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 language	English (US)
Article number	4252808
Pages (from-to)	1009-1012
Number of pages	4
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
State	Published - Sep 27 2007
Event	2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007 - New Orleans, LA, United States Duration: May 27 2007 → May 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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title = "Upper-triangulization of non-symmetric matrices using Sanger's Type learning systems",

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.",

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

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AU - Hasan, Mohammed A.

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AB - 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.

KW - Global convergence

KW - Liapunov stability

KW - MCA/PCA for non-symmetric matrices

KW - Minor components

KW - Oja's learning rule

KW - Principal components

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M3 - Conference article

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EP - 1012

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

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M1 - 4252808

T2 - 2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007

Y2 - 27 May 2007 through 30 May 2007

ER -