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单词 Cauchy matrix
释义

Cauchy matrix

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Cauchy matrix

In mathematics, a Cauchy matrix, named after Augustin Louis Cauchy, is an m×n matrix with elements aij in the form

where x_i and y_j are elements of a field \mathcal{F}, and (x_i) and (y_j) are injective sequences (they contain distinct elements).

The Hilbert matrix is a special case of the Cauchy matrix, where

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