Cauchy matrix
= Cauchy matrix
{wiki=Cauchy_matrix}
A Cauchy matrix is a type of structured matrix that is defined by its elements as follows: If \\( a_1, a_2, \\ldots, a_m \\) and \\( b_1, b_2, \\ldots, b_n \\) are two sequences of distinct numbers, the Cauchy matrix \\( C \\) formed from these sequences is an \\( m \\times n \\) matrix defined by: \\\[ C_\{ij\} = \\frac\{1