多变量多项式处理。在插值中的应用

1978 IEEE 4th Symposium onomputer Arithmetic (ARITH) Pub Date : 1978-10-01 DOI:10.1109/ARITH.1978.6155785

E. V. Kriphnamurthy, H. Venkateswaran

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引用次数: 1

摘要

介绍了一种适用于多变量多项式处理的数据结构。利用这种数据结构，描述了多变量多项式的加法、减法和乘法的算法;此外，还描述了形成向量的内积和张量积的算法，它们的成分是多变量多项式。这些算法的应用。对多变量基数样条近似进行了详细的描述。

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Multivariable polynomial processing — Applications to interpolation

A data-structure suitable for multivariable polynomial processing is introduced. Using this data-structure, arithmetic algorithms are described for addition, subtraction and multiplication of multivariable polynomials; also algorithms are described for forming the inner product and tensor product of vectors, whose components are multivariable polynomials. Application of these algorithms. for multivariable cardinal spline approximation is described in detail.

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1978 IEEE 4th Symposium onomputer Arithmetic (ARITH)

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