We prove that interpolation matrices for Generalized MultiQuadrics (GMQ) of order greater than one are almost surely nonsingular without polynomial addition, in any dimension and with any continuous random distribution of sampling points. We also include a new class of generalized MultiQuadrics recently proposed by Buhmann and Ortmann.

翻译：我们证明了阶数大于1的广义多二次型（GMQ）的插值矩阵在任意维度和任意连续随机采样点分布下，几乎必然在无多项式添加时是非奇异的。此外，我们还纳入了Buhmann和Ortmann最新提出的一类广义多二次型。