科研之友
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摘要
We study the algebraic structure of error formulas for ideal interpolation. We introduce the so-called "normal" error formulas and prove that the lexicographic order reduced Grobner basis admits such a formula for all ideal interpolations. This formula is a generalization of the "good" error formula proposed by Carl deBoor. Finally, we discuss a Shekhtman's example and give an explicit form of "normal" error formula for this example.
