toeplitz

Scilab Function
Last update : 25/04/2007

toeplitz - toeplitz matrix

### Calling Sequence

  `A=toeplitz(c [,r])`

### Parameters

- `a,c,r` : constant, polynomial or string matrices

### Description

returns the Toeplitz matrix whose first row is `r` and first column is `c` . `c(1)` must be equal to `r(1)` . `toeplitz(c)` returns the symmetric Toeplitz matrix.

### Examples

    A=toeplitz(1:5);
    //
    T=toeplitz(1:5,1:2:7);T1=[1 3 5 7;2 1 3 5;3 2 1 3;4 3 2 1;5 4 3 2];
    T-T1
    //
    s=poly(0,'s');
    t=toeplitz([s,s+1,s^2,1-s]);
    t1=[s,1+s,s*s,1-s;1+s,s,1+s,s*s;s*s,1+s,s,1+s;1-s,s*s,1+s,s]
    t-t1
    //
    t=toeplitz(['1','2','3','4']);
    t1=['1','2','3','4';'2','1','2','3';'3','2','1','2';'4','3','2','1']

### See Also

`matrix` ,