Note on functional forms quadratic in a function and its first $p$ derivatives
نویسندگان
چکیده
منابع مشابه
A note on quadratic forms
We extend an interesting theorem of Yuan [12] for two quadratic forms to three matrices. Let C1, C2, C3 be three symmetric matrices in <n×n , if max{xT C1x, xT C2x, xT C3x} ≥ 0 for all x ∈ <n , it is proved that there exist ti ≥ 0 (i = 1, 2, 3) such that ∑3 i=1 ti = 1 and ∑3 i=1 ti Ci has at most one negative eigenvalue.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1931
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1931-05189-2