hankel (MATLAB Functions)

Hankel matrix

Syntax

```
H = hankel(c)
H = hankel(c,r)
```

Description

H = hankel(c) returns the square Hankel matrix whose first column is c and whose elements are zero below the first anti-diagonal.

H = hankel(c,r) returns a Hankel matrix whose first column is c and whose last row is r. If the last element of c differs from the first element of r, the last element of c prevails.

Definition

A Hankel matrix is a matrix that is symmetric and constant across the anti-diagonals, and has elements h(i,j) = p(i+j-1), where vector p = [c r(2:end)] completely determines the Hankel matrix.

Examples

A Hankel matrix with anti-diagonal disagreement is

c = 1:3; r = 7:10;
h = hankel(c,r)
h =
    1    2    3    8
    2    3    8    9
    3    8    9   10

p = [1 2 3 8 9 10]

See Also

hadamard, toeplitz

hadamard hdf