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On the typical rank of real binary forms
, 909
"... 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. 1 ..."
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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. 1
RESEARCH ARTICLE On the typical rank of real binary forms
, 2011
"... 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 ..."
Abstract
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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.