The task I want to do is to compute a basis of the k-th order partial derivative space of a polynomial f. By k-th order partial derivative space of a polynomial f I mean the vector space formed by all the k-th order derivatives of f. So one way that I know is to compute all the partial derivatives and then treat each polynomial as a vectors and then compute basis. But is there a way to do it in the sparse representation.
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finding a basis of a set of polynomials in sage
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finding a basis of a set of polynomials in sage
The task I want to do is to compute a basis of the k-th order partial derivative space of a polynomial f. By k-th order partial derivative space of a polynomial f I mean the vector space formed by all the k-th order derivatives of f. So one way that I know is to compute all the partial derivatives and then treat each polynomial as a vectors and then compute basis. But is there a way to do it in the sparse representation.
