Can the Multigrid method be applied to solve a linear system of equations in the form $Ax=b$, that is not necessarily related to differential equations?


There are "Algebraic Multigrid Methods" that can be applied to general systems $Ax=b$.

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  • $\begingroup$ If $A$ is symmetric positive definite (SPD), is it possible to use the AMG method as a preconditioner for the conjugate gradient method? $\endgroup$ – Abdelhafid Elharoussi Dec 9 '16 at 15:51
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    $\begingroup$ Yes, you could try AMG as a preconditioner. $\endgroup$ – Brian Borchers Dec 9 '16 at 15:57

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