Global convergence analysis for the NIC flow

Previously, a family of fast subspace tracking algorithms based on a novel information criterion (NIC) has been proposed and investigated. It is known that these new algorithms are associated with a new kind of flow, which is called the NIC flow in this paper as in the case of the conventional Oja s...

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Main Authors: Liu, Wanquan, Yan, Wei-Yong, Sreeram, V., Teo, Kok
Format: Journal Article
Published: Institute of Electrical and Electronics Engineers (IEEE) 2001
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/39871
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author Liu, Wanquan
Yan, Wei-Yong
Sreeram, V.
Teo, Kok
author_facet Liu, Wanquan
Yan, Wei-Yong
Sreeram, V.
Teo, Kok
author_sort Liu, Wanquan
building Curtin Institutional Repository
collection Online Access
description Previously, a family of fast subspace tracking algorithms based on a novel information criterion (NIC) has been proposed and investigated. It is known that these new algorithms are associated with a new kind of flow, which is called the NIC flow in this paper as in the case of the conventional Oja subspace algorithms with the Oja flow. In this paper, some fundamental questions about this new NIC flow such as its solution existence and convergence, are investigated. In addition, the convergence domain is characterized. Some important results on these issues are obtained via manifold theory
first_indexed 2025-11-14T09:00:40Z
format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:00:40Z
publishDate 2001
publisher Institute of Electrical and Electronics Engineers (IEEE)
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spelling curtin-20.500.11937-398712017-09-13T15:52:51Z Global convergence analysis for the NIC flow Liu, Wanquan Yan, Wei-Yong Sreeram, V. Teo, Kok novel information criterion Global convergence Oja flow matrix differential equation Previously, a family of fast subspace tracking algorithms based on a novel information criterion (NIC) has been proposed and investigated. It is known that these new algorithms are associated with a new kind of flow, which is called the NIC flow in this paper as in the case of the conventional Oja subspace algorithms with the Oja flow. In this paper, some fundamental questions about this new NIC flow such as its solution existence and convergence, are investigated. In addition, the convergence domain is characterized. Some important results on these issues are obtained via manifold theory 2001 Journal Article http://hdl.handle.net/20.500.11937/39871 10.1109/78.950796 Institute of Electrical and Electronics Engineers (IEEE) fulltext
spellingShingle novel information criterion
Global convergence
Oja flow
matrix differential equation
Liu, Wanquan
Yan, Wei-Yong
Sreeram, V.
Teo, Kok
Global convergence analysis for the NIC flow
title Global convergence analysis for the NIC flow
title_full Global convergence analysis for the NIC flow
title_fullStr Global convergence analysis for the NIC flow
title_full_unstemmed Global convergence analysis for the NIC flow
title_short Global convergence analysis for the NIC flow
title_sort global convergence analysis for the nic flow
topic novel information criterion
Global convergence
Oja flow
matrix differential equation
url http://hdl.handle.net/20.500.11937/39871