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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