Matrices and graphs are in some sense the same thing. In applications, though, one often supports computation on the other, and the direction of the relationship swings back and forth. Ideas about how to write programs for matrices and graphs swing back and forth too. This talk will review a little bit of the back-and-forth, nodding to sparse matrix computation, graph analysis libraries, and models of parallel computation, including some moments when Alan's many contributions to numerical linear algebra, high-performance computing, and programming language design have influenced the speaker.
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