Preconditioned conjugate gradient method (1 Viewer)

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Hi, I've gotten the conjugate gradient method to work for solving my matrix equation:

Right now I'm experimenting with the preconditioned version of it. For a certain preconditioner however I'm finding that


is zero, so no proper update of


is happening and hence no further minimizing of residuals occurs. Any idea what this means and what the best search direction (new p(k+1)) would then be?
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