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September 2009 Multiplicity of singular values for tensors
K. C. Chang, Tan Zhang
Commun. Math. Sci. 7(3): 611-625 (September 2009).


In linear algebra, both eigenvalue problems and singular value problems for matrices are of fundamental importance. In this paper, we use critical point theory from nonlinear analysis and tools from algebraic topology to study the existence and multiplicity problem of singular values in the higher order tensor setting.


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K. C. Chang. Tan Zhang. "Multiplicity of singular values for tensors." Commun. Math. Sci. 7 (3) 611 - 625, September 2009.


Published: September 2009
First available in Project Euclid: 26 October 2009

zbMATH: 1204.15020
MathSciNet: MR2569025

Primary: 15A18‎ , 15A69 , 55M30 , 58C40

Keywords: category , cuplength , eigenvalue , Liusternik-Schnirelmann theory , Singular value , tensor

Rights: Copyright © 2009 International Press of Boston

Vol.7 • No. 3 • September 2009
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