论文信息 - A note on quadratic forms

A note on quadratic forms

Abstract.We extend an interesting theorem of Yuan [12] for two quadratic forms to three matrices. Let C1, C2, C3 be three symmetric matrices in ℜn×n, if max{xTC1x,xTC2x,xTC3x}≥0 for all x∈ℜn, it is proved that there exist ti≥0 (i=1,2,3) such that ∑i=13ti=1 and ∑i=13tiCi has at most one negative eigenvalue.

Xin Chen | Ya-Xiang Yuan | Xin Chen | Ya-xiang Yuan

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