Cauchy¶
An \(m \times n\) matrix \(A\) is called Cauchy if there exist vectors \(x\) and \(y\) such that
\[A(i,j) = \frac{1}{x(i) - y(j)}.\]
The following functions generate a Cauchy matrix using the defining vectors, \(x\) and \(y\).
C++ API¶
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void
Cauchy(AbstractDistMatrix<F> &A, const std::vector<F> &x, const std::vector<F> &y)¶
C API¶
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ElError
ElCauchy_c(ElMatrix_c A, ElInt xSize, complex_float* xBuf, ElInt ySize, complex_float* yBuf)¶
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ElError
ElCauchy_z(ElMatrix_z A, ElInt xSize, complex_double* xBuf, ElInt ySize, complex_double* yBuf)¶
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ElError
ElCauchyDist_c(ElDistMatrix_c A, ElInt xSize, complex_float* xBuf, ElInt ySize, complex_float* yBuf)¶
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ElError
ElCauchyDist_z(ElDistMatrix_z A, ElInt xSize, complex_double* xBuf, ElInt ySize, complex_double* yBuf)¶