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A popular krylov subspace method for solving linear systems of equations, particularly those that exhibit symmetric positive definiteness.

4 votes
1 answer
465 views

Linear equation system: Direct solver works, iterative solver does not

I have to solve for x in b = A*x, where a is sparse. This works fine with Matlab's mldivide: x = A \ b. Since I will have to use an iterative algorithm for very large A, I'm currently testing Matlab's …
Michael's user avatar
  • 1,463
4 votes
Accepted

Linear equation system: Direct solver works, iterative solver does not

The problem was in the underlying coupled PDE FEM model. This model includes a potential which is not fixed in any point, so any result potential = phi + C would be a solution, where C is an integrati …
Michael's user avatar
  • 1,463
2 votes
1 answer
175 views

Solve FEM matrix from coupled system

I'm developing an FEM solver for a coupled system. I have diffusion and potential equations which result in positive definite matrices for each equation, but the coupling makes the overall system matr …
Michael's user avatar
  • 1,463