Solving large system of linear equations

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How to solve a large system of linear equations in MATLAB? In particular I have 31 equations and 31 unknowns and I can write these equations recursively. Say I have equations of the type c(n-1)-c(n)+c(n+1)= 0, n varying from 2 to 32 where I know the values of c(2) and c(32).
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Saurabh Madankar
Saurabh Madankar on 16 Nov 2021
That is the case but I need to calculate c(0) and c(32) as well, but because of MATLAB indexing, it means I need to calculate c(1) and c(33) with c(2) and c(32) being known.

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Accepted Answer

Matt J
Matt J on 16 Nov 2021
Edited: Matt J on 16 Nov 2021
n=32;
c(1,1)=5; c(n,1)=10; %Example data
T=toeplitz([-1,zeros(1,n-3)], [-1,1,-1, zeros(1,n-3)]);
A=T;
A(:,[1,n])=[];
b=T(:,[1,n])*[c(1);c(n)];
c(2:n-1)=A\b
c = 32×1
5 -10 -5 5 10 5 -5 -10 -5 5

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