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Hi, sorry, this was not meant to be personal. Now to business: As far as I rememeber, Krylov suggested his method as a numerically simple way to compute the eigenvalues of a matrix A (without computing the characteristic pol-l). He started from a vector v, and computed the minimal polynomial of v
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with less arithmetic computations (than needed to compute the char. pol-l). I thought this would appear in one of the articles starting with "Krylov", but alas... Unfortunately I do not remember neither the details nor the motivation well enough to write it myself. Best,
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Hi, this article is currently unreadable for a person (like me) who is not an expert in numerical methods. I believe it would be a good idea to start with a description of Krylov's method, and then pass to generalisations and variations. Thanks,
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CG, BiCG(STAB), GMRES, MINRES, ORTHOMIN, and GBIT are all different algorithms. I'm not sure MINRES and ORTHOMIN see much use anymore. I think "Krylov solvers" would be a better redirect since GMRES isn't the same
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is even less readable; in fact, I did not understand a word. It would be great if someone would write a simple description of the original method of finding the eigenvalues iof a matrix.
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I second that remark. I am currently reading Saad's book. It is very informative for a non-mathematician and provides the context for many aspects of optimization.
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I'm not sure what you're expecting from the article. Could you explain what it is you'd like to see in the article? And, btw, there isn't
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I saw "QMR" mentioned in a README. It appears to be related to Krylov methods. Could someone explain what they are?
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BTW, Yousuf Saad's "Iterative methods" book is a good reference. (There's a second edition that came out recently.)
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You are, of course, welcome to edit the article and expand it. It is just a stub (and is already marked as so).
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If you're looking for a basic description of how to compute eigenvalues, you might want to check the
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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Could you provide a little more context? A "readme" file from where? QMR in relation to what?
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for now; I'm not sure if it should have its own page.)
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