This is a very simple snippet, yet answers a commonly asked question.
What is a Hilbert matrix?
A Hilbert matrix is a square matrix with unit fractions as entries. This is the equation for every cell of a Hilbert Matrix:
H(i, j) = 1 / (i + j -1)
Very simple! Great for testing matrix operations across the board, since the matrix for any size will always yield a consistent result.
How do I create one?
Simply use the
hilb() function, passing in a matrix size into the function:
hilb(4) 1.0000 0.5000 0.3333 0.2500 0.5000 0.3333 0.2500 0.2000 0.3333 0.2500 0.2000 0.1667 0.2500 0.2000 0.1667 0.1429