Overview
- Presents the first comprehensive treatment of maximal ranks and typical ranks over the real number file
- Provides interesting ideas of determinant polynomials, determinantal ideals, absolutely nonsingular tensors and absolutely full column rank tensors
- Includes numerical methods of determining ranks by simultaneous singular value decomposition through a theory of matrix star algebra
Part of the book series: SpringerBriefs in Statistics (BRIEFSSTATIST)
Part of the book sub series: JSS Research Series in Statistics (JSSRES)
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Table of contents(8 chapters)
About this book
Authors and Affiliations
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Faculty of Design, Kyushu University, Fukuoka, Japan
Toshio Sakata
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Faculty of Arts and Science, Kyushu University, Fukuoka, Japan
Toshio Sumi
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Department of Mathematics, Kyoto University of Education, Kyoto, Japan
Mitsuhiro Miyazaki
Bibliographic Information
Book Title: Algebraic and Computational Aspects of Real Tensor Ranks
Authors: Toshio Sakata, Toshio Sumi, Mitsuhiro Miyazaki
Series Title: SpringerBriefs in Statistics
DOI: https://doi.org/10.1007/978-4-431-55459-2
Publisher: Springer Tokyo
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-4-431-55458-5Published: 30 March 2016
eBook ISBN: 978-4-431-55459-2Published: 18 March 2016
Series ISSN: 2191-544X
Series E-ISSN: 2191-5458
Edition Number: 1
Number of Pages: VIII, 108
Number of Illustrations: 5 b/w illustrations
Topics: Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences, Statistics and Computing/Statistics Programs, Statistics for Social Sciences, Humanities, Law