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Member of the matrix class.

Syntax

c = invhilb(n)

Description

Computes the inverse of a 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 an integer.

Outputs

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

Examples

C = invhilb(3)
D = invhilb(3)*hilb(3)

Related Topics

hilb
cond