Toeplitz Matrix

Hallo all, I'm trying to create this matrix (Toeplitz Matrix):

1 0 0 0

2 1 0 0

3 2 1 0

0 3 2 1

0 0 3 2

0 0 0 3 how can I achieve that ?

thanks for help

Answer 1

[Sean de Wolski]

T =tril(toeplitz([1 2 3 0 0 0 ],[1 2 3 0]))

[hunterilmenau Abdulkarim]

Hi

many thanks Sean , but what in case of a general vector . i.e, in this case h=[1 2 3] , what if I want to make it general for any given vector h ?

[Sean de Wolski]

Oleg's method is better because it doesn't require the call to tril:

v = 1:5;

T = toeplitz([v(:);zeros(numel(v),1)],zeros(numel(v)+1,1))

Answer 2

[Oleg Komarov]

toeplitz([1 2 3 0 0 0],[1 0 0 0])

[hunterilmenau Abdulkarim]

Hi

many thanks Oleg , but what in case of a general vector . i.e, in this case h=[1 2 3] , what if I want to make it general for any given vector h ?

Answer 3

[hunterilmenau Abdulkarim]

Hi guys ,

thanks again , it worked , I just modified as follows:

t=toeplitz([h zeros(1,7)],[1 0 0 0 0 0 0 0])

where h is the original vector.

cheer u

[Sibo Van Gool]

For a more generalized version:

t = toeplitz([h zeros(1,length(h)-1)],[h(1) zeros(1, length(h)-1)])