NDLI: On the typical rank of real binary forms

Content Provider	Scilit
Author	Comon, Pierre Ottaviani, Giorgio
Copyright Year	2012
Description	Journal: Linear and Multilinear Algebra We determine the rank of a general real binary form of degree d = 4 or d = 5. In the case d = 5, the possible values of the rank of such general forms are 3, 4, and 5. This is the first reported case, to our knowledge, where more than two typical ranks have been found. We prove that a real binary form of degree d with d real roots has rank d.
Related Links	http://arxiv.org/pdf/0909.4865
Ending Page	667
Page Count	11
Starting Page	657
ISSN	03081087
e-ISSN	15635139
DOI	10.1080/03081087.2011.624097
Journal	Linear and Multilinear Algebra
Issue Number	6
Volume Number	60
Language	English
Publisher	Informa UK Limited
Publisher Date	2012-06-01
Access Restriction	Open
Subject Keyword	Journal: Linear and Multilinear Algebra Applied Mathematics Symmetric Tensor
Content Type	Text
Subject	Algebra and Number Theory

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On the typical rank of real binary forms