1
$\begingroup$

Let $A_n$ be the $n\times n$ matrix whose $(i,j)$-element is $1/(i+j-1)$. This is a famous matrix in linear algebra and has some nice properties (like, its inverse is integral).

Does anybody remember the name of this matrix? I am sure it was named after somebody but I don't remember. And I need the name for some reason.

Improve this question
$\endgroup$
2
  • 3
    $\begingroup$ The Hilbert matrix has entries $1/(i+j-1)$. $\endgroup$
    – Anthony Quas
    Commented Sep 8, 2011 at 16:10
  • $\begingroup$ You are right, I meant 1/(i+j-1). $\endgroup$
    – Mohammad Farajzadeh-Tehrani
    Commented Sep 8, 2011 at 16:45

1 Answer 1

Reset to default
3
$\begingroup$

http://en.wikipedia.org/wiki/Cauchy_matrix ?

Improve this answer
$\endgroup$
1
  • $\begingroup$ comment, years ago, using a very easy method, I found an explicit formula for the inverse of Cauchy matrices and today when I was talking with somebody I could not remember its name. $\endgroup$
    – Mohammad Farajzadeh-Tehrani
    Commented Sep 8, 2011 at 16:48

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .