Real and Complex Rank for Real Symmetric Tensors with Low Ranks
Joint Authors
Bernardi, Alessandra
Ballico, Edoardo
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-21
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We study the case of a real homogeneous polynomial P whose minimal real and complex decompositions in terms of powers of linear forms are different.
We prove that if the sum of the complex and the real ranks of P is at most 3deg(P)-1, then the difference of the two decompositions is completely determined either on a line or on a conic or two disjoint lines.
American Psychological Association (APA)
Ballico, Edoardo& Bernardi, Alessandra. 2013. Real and Complex Rank for Real Symmetric Tensors with Low Ranks. Algebra،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-498640
Modern Language Association (MLA)
Ballico, Edoardo& Bernardi, Alessandra. Real and Complex Rank for Real Symmetric Tensors with Low Ranks. Algebra No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-498640
American Medical Association (AMA)
Ballico, Edoardo& Bernardi, Alessandra. Real and Complex Rank for Real Symmetric Tensors with Low Ranks. Algebra. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-498640
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498640