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Member of the matrix class.

Syntax

c = hilb(n)

Description

Generates a square Hilbert matrix whose (i, j)-th element is equal to 1/(i+j-1), where i is the row index number and j is the column index number. The Hilbert matrix is a famous example of a poorly conditioned matrix.

Examples

Inputs

Name	Description
n	Specifies the size of the Hilbert matrix. n is a positive scalar integer.

Outputs

Name	Description
c	Returns the Hilbert matrix of size n. c is a real, symmetric matrix.

Examples

% Generate a 3-by-3 Hilbert matrix:
C = hilb(3)
% Check the condition number of a large Hilbert matrix:
D = cond(hilb(20))

Related Topics

cond
invhilb