Talk:Cauchy matrix
Latest comment: 16 years ago by Jitse Niesen in topic About the Inverse Formula
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Inverse formula edit
The formula for the inverse seems wrong to me. Fph 21:31, 24 September 2007 (UTC)
About the Inverse Formula edit
I have tested the inverse formula and it works. For reference, please check 'Schechter, On the Inversion of certain matrices'. Since Cauchy matrices are related to Reed-Solomon codes which is related to interpolation, the Lagrange polynomials isn't that out of the ordinary, I think. I also checked the indices and I'm pretty sure they all match up to my notes. (Mochan Shrestha 04:10, 2 November 2007 (UTC))
- Well, the formula on the reference you reported (Schechter) and the one on this Wikipedia page are different. Notice that the definition of Cauchy matrix is with denominator x_i+y_j on WP and a_i-b_j on Schechter. Moreover, A(x) and B(x) are not defined anywhere on the page. Fph (talk) 17:14, 8 February 2008 (UTC)
- You're right. The definition with minus signs in the denominator seems to be much more common, so I changed the article. I also defined A(x) and B(x) and added the Schechter reference. -- Jitse Niesen (talk) 19:37, 8 February 2008 (UTC)