Solve ill-condition matrix

Question

jason law 2020-7-7

回答： M 2020-7-8

How can I solve Ax=B matrix when the command window in matlab mentioned"matrix is badly scaled, singular Rcond 1e-16" something like this

I am using vpa(A), then inv(A) to solve the matrix, but the speed is a bit slow as I need to run for 1e4 times.

What is the difference between using these two methods pinv() and vpa(), inv()?

Answer 1

M 2020-7-8

Does it display this warning but still solve the equation ? How are the results ?

You can also try : x = A\B . It solves the system of linear equations A*x = B.

From Matlab doc : "If A is a square matrix, then A\B is roughly equal to inv(A)*B, but MATLAB processes A\B differently and more robustly."