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:

http://en.wikipedia.org/wiki/Conjugate_gradient_method

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

223e5149b9e87962a93e50123795acb0.png


is zero, so no proper update of

[URL]http://upload.wikimedia.org/math/3/9/f/39f94a381919ed6e0c7e8c70e90ef2e4.png[/URL]

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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