toeplitz (MATLAB Functions)

Toeplitz matrix

Syntax

```
T = toeplitz(c,r)
T = toeplitz(r)
```

Description

A Toeplitz matrix is defined by one row and one column. A symmetric Toeplitz matrix is defined by just one row. toeplitz generates Toeplitz matrices given just the row or row and column description.

T = toeplitz(c,r) returns a nonsymmetric Toeplitz matrix T having c as its first column and r as its first row. If the first elements of c and r are different, a message is printed and the column element is used.

T = toeplitz(r) returns the symmetric or Hermitian Toeplitz matrix formed from vector r, where r defines the first row of the matrix.

Examples

A Toeplitz matrix with diagonal disagreement is

c = [1  2  3  4  5];
r = [1.5  2.5  3.5  4.5  5.5];
toeplitz(c,r)
Column wins diagonal conflict:
ans =
    1.000    2.500    3.500    4.500    5.500
    2.000    1.000    2.500    3.500    4.500
    3.000    2.000    1.000    2.500    3.500
    4.000    3.000    2.000    1.000    2.500
    5.000    4.000    3.000    2.000    1.000

See Also

hankel

todatenum trace