Multiplicity of singular values for tensors
Chang, K. C. ; Zhang, Tan
Commun. Math. Sci., Tome 7 (2009) no. 1, p. 611-625 / Harvested from Project Euclid
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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.
Publié le : 2009-09-15
Classification:  Singular value,  eigenvalue,  tensor,  Liusternik-Schnirelmann theory,  category,  cuplength,  15A18,  15A69,  55M30,  58C40 
@article{1256562815,
     author = {Chang, K. C. and Zhang, Tan},
     title = {Multiplicity of singular values for tensors},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 611-625},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256562815}
}

Chang, K. C.; Zhang, Tan. Multiplicity of singular values for tensors. Commun. Math. Sci., Tome 7 (2009) no. 1, pp.  611-625. http://gdmltest.u-ga.fr/item/1256562815/