Skip to Main content Skip to Navigation
Journal articles

On the typical rank of real binary forms

Abstract : 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, 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.
Complete list of metadatas

Cited literature [26 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00420415
Contributor : Pierre Comon <>
Submitted on : Wednesday, May 23, 2012 - 7:53:09 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:34 PM
Document(s) archivé(s) le : Friday, August 24, 2012 - 2:56:07 AM

Files

realrank-v23.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Pierre Comon, Giorgio Ottaviani. On the typical rank of real binary forms. Linear and Multilinear Algebra, Taylor & Francis, 2012, 60 (6), pp.657-667. ⟨10.1080/03081087.2011.624097⟩. ⟨hal-00420415v2⟩

Share

Metrics

Record views

458

Files downloads

557