Multiplicity of singular values for tensors
K.C. Chang and Tan Zhang
Source: Commun. Math. Sci. Volume 7, Number 3 (2009), 611-625.
Abstract
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.
Primary Subjects: 15A18, 15A69, 55M30, 58C40
Keywords: Singular value; eigenvalue; tensor; Liusternik-Schnirelmann theory; category; cuplength
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Permanent link to this document: http://projecteuclid.org/euclid.cms/1256562815
Communications in Mathematical Sciences
