Aimed at both introductory numerical analysis students and higher-level students, this text uses motivational examples and related homework problems using MATLAB, allowing readers to get a personal feel for algorithm strengths and weaknesses, without the distraction of debugging the syntax of a compiled higher level language. In addition to standard topical coverage, each chapter includes: a sketch of a hard problem that involves ill-conditioning and high dimension; at least one theorem with both a rigorous proof and a proof by MATLAB; an experiment to bolster intuition; at least one recursive algorithm; and at least one connection to a real-world application.
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