I'm newish to MATLAB and want to automate populating a matrix A rather than manually create...

My columns represent years, and the rows the demand profile TM (versus a peak demand) for products each year. I could launch 1 2 or 3 products per year.

The demand profile starts slow, builds to a peak and tails to zero 20 years after launch

TM = [0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2 0.1 0.0]

The typical demand profile looks like this, and is the same for each product TM(1:N):

TM1 = [0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2 0.1 0.0....]

If products launched/yr = 1 then the second product curve would look like

TM2 = [0 0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2 0.1 0.0....];

If products lanched/yr = 2 then the second product curve would look like TM1, and the third like TM2

TM2 = [0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2 0.1 0.0];

and

TM3 = [0 0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2 0.1 0.0....];

So I might end up with something like this for one product a year and four products...

A=

[0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2 0.1 0.0;

0.0 0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2 0.1;

0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2;

0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4];

Any pointers appreciated, Thank you.

[Stephen23]

"Any pointers appreciated"

What is your question? It is not clear what you want help with.

Answer 1

[Stephen23]

TM = [0.1,0.1,0.1,0.1,0.1,0.2,0.3,0.4,0.6,0.8,1.0,1.0,1.0,1.0,1.0,0.8,0.6,0.4,0.2,0.1,0.0];
N = 4; 
M = toeplitz([TM(1),zeros(1,N-1)],TM)

M = 4×21

0.1000 0.1000 0.1000 0.1000 0.1000 0.2000 0.3000 0.4000 0.6000 0.8000 1.0000 1.0000 1.0000 1.0000 1.0000 0.8000 0.6000 0.4000 0.2000 0.1000 0 0 0.1000 0.1000 0.1000 0.1000 0.1000 0.2000 0.3000 0.4000 0.6000 0.8000 1.0000 1.0000 1.0000 1.0000 1.0000 0.8000 0.6000 0.4000 0.2000 0.1000 0 0 0.1000 0.1000 0.1000 0.1000 0.1000 0.2000 0.3000 0.4000 0.6000 0.8000 1.0000 1.0000 1.0000 1.0000 1.0000 0.8000 0.6000 0.4000 0.2000 0 0 0 0.1000 0.1000 0.1000 0.1000 0.1000 0.2000 0.3000 0.4000 0.6000 0.8000 1.0000 1.0000 1.0000 1.0000 1.0000 0.8000 0.6000 0.4000

plot(M.')

Compared to your requested output:

A = [0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2 0.1 0.0;
    0.0 0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2 0.1;
    0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4 0.2; 
    0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.0 1.0 1.0 1.0 0.8 0.6 0.4];
plot(A.')

[Andrew Rutter]

Many thanks Stephen for this rapid response - i had never come across toeplitz before! I'll give it a go.