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Linear Algebra and its Applications
Article
License: Elsevier Non-Commercial
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Linear Algebra and its Applications
Article . 2013
License: Elsevier Non-Commercial
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Linear Algebra and its Applications
Article . 2013 . Peer-reviewed
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zbMATH Open
Article . 2013
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Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor

Authors: Zhou, Guanglu; Caccetta, Louis; Qi, L.;

Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor

Abstract

The authors present an iterative algorithm for computing the largest singular value of a nonnegative rectangular tensor. The convergence of this algorithm for any irreductibile nonnegative rectangular tensor is also proved.

Country
Australia
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Keywords

Iterative numerical methods for linear systems, Numerical Analysis, Numerical solutions to overdetermined systems, pseudoinverses, Eigenvalues, singular values, and eigenvectors, iterative algorithm, convergence, Algebra and Number Theory, largest singular value, Iterative method, 510, Nonnegative tensor, Singular value, Discrete Mathematics and Combinatorics, irreductibile nonnegative rectangular tensor, Geometry and Topology, Convergence, Vector and tensor algebra, theory of invariants

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
26
Top 10%
Top 10%
Top 10%
hybrid