Franklin

Tensors : geometry and applications / J. M. Landsberg.

Author/Creator:
Landsberg, J. M., author.
Publication:
Providence, Rhode Island : American Mathematical Society, 2012.
Series:
Graduate studies in mathematics ; Volume 128.
Graduate Studies in Mathematics ; Volume 128
Format/Description:
Book
1 online resource (438 p.)
Subjects:
Multilinear algebra.
Tensor products.
Matrices.
Signal theory (Telecommunication)
Form/Genre:
Electronic books.
Language:
English
Contents:
""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Part I. Motivation from applications, multilinear algebra and elementary results""; ""Introduction""; ""Multilinear algebra""; ""Elementary results on rank and border rank""; ""Part II. 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""
""Part III. Applications""""The complexity of matrix multiplication""; ""Tensor decomposition""; "" v. ""; ""Varieties of tensors in phylogenetics and quantum mechanics""; ""Part IV. Advanced topics""; ""Overview of the proof of the Alexander-Hirschowitz theorem""; ""Representation theory""; ""Weyman�s method""; ""Hints and answers to selected exercises""; ""Bibliography""; ""Index""; ""Back Cover""
Notes:
"Applied Mathematics"--Cover.
Includes bibliographical references and index.
Description based on print version record.
ISBN:
0-8218-8483-2
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