solving linear system with highly sparse matrices
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Hi I want to solve a linear system Ax=b, with A and b very sparse and big. Right now my code is in the testing so the matrices are of the order of only a few hundreds, but eventually it's going to be bigger. for example, for the system of order 172 with the condition number 3.7987e+03 I tried pcg in matlab, but I am getting this error:
"pcg stopped at iteration 3 without converging to the desired tolerance 1e-06 because a scalar quantity became too small or too large to continue computing. The iterate returned (number 0) has relative residual 1 "
What other method I can try.. I dont want to rely on linsolve or "/" since I dont think these methods can be trusted for the bigger matrices. Please correct me if I am wrong. Thanks
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Andrew Newell
2011-6-19
0 个投票
In this previous post, a backslash is easily able to deal with a system of order 300,000. The key is defining your sparse matrix efficiently.
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