Possible issues with solving iterative linear systems with mldivide

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David Holler 2024-3-25

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https://ww2.mathworks.cn/matlabcentral/answers/2098551-possible-issues-with-solving-iterative-linear-systems-with-mldivide

回答： Bruno Luong 2024-3-25

Hi,

I have a 62x62 coefficient matrix that remains constant, and the right-hand-side input vector gets updated non-linearly in a different part of the iteration. I'm using the mldivide shorthand to solve the system. I have verified the values in both the coefficient matrix and input vector. As I iterate, the solutions are pushed towards zero and converge at very small values (e.g., 10^-11 or 10^-39). The expected solution should be around 10^-2. Would anyone have any suggestions as to what's happening? Is there a way to see the matrix solver steps to see which expressions might have an issue?

Thank you for your time.

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Answer 1

Bruno Luong 2024-3-25

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https://ww2.mathworks.cn/matlabcentral/answers/2098551-possible-issues-with-solving-iterative-linear-systems-with-mldivide#answer_1430636

"Is there a way to see the matrix solver steps to see which expressions might have an issue?"

No they are LAPACK/BLAS based codes, developped in low language, higlly optimized, by highly skilled people and they resist to various tests since few dozen of years.