An Upper Bound for the Symmetric Tensor Rank of a Low Degree Polynomial in a Large Number of Variables
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-2, 2 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-14
Country of Publication
Egypt
No. of Pages
2
Main Subjects
Abstract EN
Fix integers m≥5 and d≥3.
Let f be a degree d homogeneous polynomial in m+1 variables.
Here, we prove that f is the sum of at most d·⌈(m+dm)/(m+1)⌉d-powers of linear forms (of course, this inequality is nontrivial only if m≫d.)
American Psychological Association (APA)
Ballico, Edoardo. 2013. An Upper Bound for the Symmetric Tensor Rank of a Low Degree Polynomial in a Large Number of Variables. Geometry،Vol. 2013, no. 2013, pp.1-2.
https://search.emarefa.net/detail/BIM-492852
Modern Language Association (MLA)
Ballico, Edoardo. An Upper Bound for the Symmetric Tensor Rank of a Low Degree Polynomial in a Large Number of Variables. Geometry No. 2013 (2013), pp.1-2.
https://search.emarefa.net/detail/BIM-492852
American Medical Association (AMA)
Ballico, Edoardo. An Upper Bound for the Symmetric Tensor Rank of a Low Degree Polynomial in a Large Number of Variables. Geometry. 2013. Vol. 2013, no. 2013, pp.1-2.
https://search.emarefa.net/detail/BIM-492852
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492852
