This paper puts forward the theorem dealing with the necessary and sufficient condition of the regular solution to the rational interpolation. The theorem is simple to prove and convenient to use.
本文给出了关于有理插值正则解的充要条件的一个定理，其证明是简单的，作为判别法则使用亦是方便的。
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In this paper, the important Salzer's theorem for rational interpolation is generalized to the multivariate vector valued case.