MATLAB Function Reference 
Syntax
Description
H = hilb(n)
returns the Hilbert matrix of order n
.
Definition
The Hilbert matrix is a notable example of a poorly conditioned matrix [1]. The elements of the Hilbert matrices are .
Examples
Even the fourthorder Hilbert matrix shows signs of poor conditioning.
Note
See the Mfile for a good example of efficient MATLAB programming where conventional for loops are replaced by vectorized statements.

See Also
References
[1] Forsythe, G. E. and C. B. Moler, Computer Solution of Linear Algebraic Systems, PrenticeHall, 1967, Chapter 19.
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