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makematrix_toeplitz

Returns the Toeplitz matrix

Calling Sequence

A = makematrix_toeplitz ( x )

Parameters

x :

a 1-by-n or n-by-1 matrix of doubles, the x input

A :

a n-by-n matrix of doubles, the Toeplitz matrix

Description

Returns the Toeplitz matrix of size n, made with entries from x.

A Toeplitz matrix has constant descending diagonals.

For example, consider n=5 and m=9. If x=[a b c d e f g h i], then the associated 5-by-5 Toeplitz matrix is

A = [
a b c d e
f a b c d
g f a b c
h g f a b
i h g f a
]

See makematrix_hankel for a similar matrix construction.

Examples

A = makematrix_toeplitz ( 1:5 )

Authors

Bibliography

http://en.wikipedia.org/wiki/Toeplitz_matrix

See also


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