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 ...

Several decompositions of symmetric matrices for calculating inertia and solving systems of linear equations are discussed. New partial pivoting strategies for decomposing symmetric matrices are ...

Methods for solving symmetric indefinite systems are surveyed including a new one which is stable and almost as fast as the Cholesky method. Journal Information SIAM Journal on Numerical Analysis ...

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 ...

Often in algebra we have an equation that we want to solve. This frequently involves manipulating the equation in various different ways to achieve a desired outcome. Key fact The golden rule when ...