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Seven sins of numerical linear algebra
In numerical linear algebra we are concerned with solving linear algebra problems accurately and efficiently and understanding the sensitivity of the problems to perturbations. We describe seven si…
Nick Higham
A wordpress blog about applied mathematics, covering research, writing, software and workflow and featuring Emacs, LaTeX, MATLAB and SIAM.
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The big six matrix factorizations
Six matrix factorizations dominate in numerical linear algebra and matrix analysis: for most purposes one of them is sufficient for the task at hand. We summarize them here. For each factorization …
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What is an eigenvalue?
An eigenvalue of a square matrix $LATEX A$ is a scalar $latex \lambda$ such that $latex Ax = \lambda x$ for some nonzero vector $latex x$. The vector $latex x$ is an eigenvector of $LATEX A$ and it…
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Org Mode Syntax Cheat Sheet (2017)
I’m a keen user of Emacs and Org mode for a variety of tasks, including note taking, generating documents for exporting to LaTeX, Word, or html. creating blog posts (notably for this blog, us…