Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

If Ms. Smith’s 8th grade algebra class works through 10 word problems in an hour, and Ms. Jones’ class works through 10 equation problems during the same time, which class is likely to learn more math ...

Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

SIAM Journal on Numerical Analysis, Vol. 20, No. 2 (Apr., 1983), pp. 345-357 (13 pages) We consider a class of iterative algorithms for solving systems of linear equations where the coefficient matrix ...

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