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Sequence of linear sistem

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Eduardo Fornazieri
Eduardo Fornazieri 2021-5-26
评论： Sulaymon Eshkabilov 2021-5-26
Hi guys!
I'm working on to solve a PDE by Euler's method, the implicit one. I have a matrix A, which is fixed and I also have a vector of constants. I know that's pretty easy to solve it using the function linsolve. The problem is that the solution of the first linear sistem will be the verctor of contants for the second linear sistem with the same matriz A and so go on...
for exemple:
Given A and b the first linear sistem will be AX_1=b
the second AX_2=X_1
the third AX_3=X_2
How can I write this algorithm?

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Sulaymon Eshkabilov
Hi,
you can solve this exercise in a relatively simple way:
A = ..
b = ..
x(:,1) = linsolve(A, b);
for ii = 2:N
x(:,ii) = linsolve(A, x(:,ii-1));
end

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