On the typical rank of real binary forms
نویسندگان
چکیده
منابع مشابه
On the typical rank of real binary forms
We determine the rank of a general real binary form of degree d = 4 and d = 5. In the case d = 5, the possible values of the rank of such general forms are 3, 4, 5. The existence of three typical ranks was unexpected. We prove that a real binary form of degree d with d real roots has rank d.
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On the Rank of a Binary Form
We describe in the space of binary forms of degree d the strata of forms having constant rank. We also give a simple algorithm to determine the rank of a given form.
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2012
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2011.624097