Solving large system of linear equations

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Saurabh Madankar 2021-11-16

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https://ww2.mathworks.cn/matlabcentral/answers/1588159-solving-large-system-of-linear-equations

评论： Saurabh Madankar 2021-11-16

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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Matt J 2021-11-16

Are you sure you don't mean, you know the first and the last point, c(1) and c(32)? You're trying to solve for c(2)..c(31) correct?

Saurabh Madankar 2021-11-16

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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Answer 1

Matt J 2021-11-16

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https://ww2.mathworks.cn/matlabcentral/answers/1588159-solving-large-system-of-linear-equations#answer_832879

编辑：Matt J 2021-11-16

在 MATLAB Online 中打开

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