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Landsberg, J. M. author

Tensors : geometry and applications / J M Landsberg - Indian edition - Providence, R.I. ; Haryana ; American Mathematical Society, 2013. - xx, 439 pages : illustrations ; 24 cm - Graduate studies in mathematics, 128. .

Gifted by NBHM

pt. 1. Motivation from applications, multilinear algebra, and elementary results --
Multilinear algebra --
Elementary results on rank and border rank --
pt. 2. Geometry and representation theory --
Algebraic geometry for spaces of tensors --
Secant varieties --
Exploiting symmetry : representation theory for spaces of tensors --
Tests for border rank : equations for secant varieties --
Additional varieties useful for spaces of tensors --
Rank --
Normal forms for small tensors --
pt. 3. Applications --
The complexity of matrix multiplication --
Tensor decomposition --
P v. NP --
Varieties of tensors in phylogenetics and quantum mechanics --
pt. 4. Advanced topics --
Overview of the proof of the Alexander-Hirschowitz theorem --
Representation theory --
Weyman's method.

ISBN: 9781470409234

Subjects--Topical Terms:
Multilinear algebra.
Tensor products.
Matrices.

Dewey Class. No.: 512.5 L239T