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An inner product lemma |
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| Authors: | Karl Gustafson |
| Abstract: | Given the operator product BA in which both A and B are symmetric positive‐definite operators, for which symmetric positive‐definite operators C is BA symmetric positive‐definite in the C inner product 〈x, y〉C? This question arises naturally in preconditioned iterative solution methods, and will be answered completely here. Copyright © 2004 John Wiley & Sons, Ltd. |
| Keywords: | inner product preconditioning Sylvester's equation triple commute H‐normal radiosity systems Sobolev gradients |