Typical number of iterations for CG and GMRES: Compiling knowledge base -- please contribute
Friends, I am trying to compile a knowledge base on what could be typical expectations for the number of iterations that one could see in real-life well-conditioned CG, GMRES, and general Krylov problems. I understand that the number of iterations will vary substantially depending on problem size, matrix structure, condition numbers, quality of preconditioners, etc. It would be of great value to have an idea of what to expect and under which circumstances, driven by previous experience. If you send me a quick note with your experience on number of iterations as matrix size and other circumstances vary, I promise I will compile all the info that I receive from the group and send a summary report to the whole group. (please try to include problem type and the things that you notice in your experience that affect the number of iterations the most). The main interest is on instances that are/were useful for real life problems - for example, please do not include studies where you extended artificially the number of iterations to analyze the algorithm or learn things about the convergence. Thanks in advance for your contribution. Best regards, Juan Juan Gonzalez, Ph.D. President & Chief Scientist Accelogic LLC 13680 NW 14th St, Suite 5 Sunrise, FL 33323 Ph: +1.954.838.1100 Fx: +1.954.208.0018 <http://www.accelogic.com/> www.accelogic.com Description: Description: accelogic "A pessimist sees the difficulty in every opportunity; an optimist sees the opportunity in every difficulty" - Sir Winston Churchill CONFIDENTIALITY: This email (including any attachments) may contain confidential, proprietary and privileged information, and unauthorized disclosure or use is prohibited. If you received this email in error, please notify the sender and delete this email from your system. Thank you.
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Juan Gonzalez, Ph.D.