Solving linear equations with large times

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剑豪戴 2022-2-18

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https://ww2.mathworks.cn/matlabcentral/answers/1652815-solving-linear-equations-with-large-times

评论：剑豪戴 2022-2-20

I am new to using matlab. I have a simple linear equation of Ax=B in loops;

where A is a complex matrix (1000x1000), and A will be changed with the parameters f, delta_p and delta_dopp in my code, i.e. A=A(f, delta_p, delta_dopp); B is a simple invariant column matrix (1000x1).

Cause I need to solve the linear equation almost about ~10^6 times. And matirx A is changing inside the loops (f, delta_p, delta_dopp are cycle indicators). When I using x=A\B solving the eqution, it should take me a lot of time. For example, it takes me one hour running 5e4 times.

I hope that someone can suggest a faster and better method? (Especially for the x=A\B method).

This is distribution of matrix A:

Thanks a lot!

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KSSV 2022-2-18

Yes it should be supported. You may check it here: https://in.mathworks.com/help/matlab/referencelist.html?type=function&capability=gpuarrays

剑豪戴 2022-2-18

Thanks a lot!

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采纳的回答

Hiro Yoshino 2022-2-18

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https://ww2.mathworks.cn/matlabcentral/answers/1652815-solving-linear-equations-with-large-times#answer_899165

It seems that your matrix is sparse - it would be worth while using some techniques for sparse matrix operetions where you can find methods for linear problems.

https://www.mathworks.com/help/matlab/math/sparse-matrix-operations.html

https://www.mathworks.com/help/matlab/sparse-matrices.html