By Charles F. Van Loan
distinctive in content material and process, this e-book covers all of the themes which are frequently lined in an creation to clinical computing--but folds in portraits and matrix-vector manipulation in a manner that will get readers to understand the connection among non-stop arithmetic and computing. MATLAB 5 is used throughout to motivate experimentation, and every bankruptcy makes a speciality of a unique vital theorem--allowing readers to understand the rigorous facet of medical computing. as well as typical topical assurance, each one bankruptcy contains 1) a comic strip of a “hard” challenge that includes ill-conditioning, excessive size, etc.; 2)at least one theorem with either a rigorous facts and a “proof through MATLAB” scan to reinforce instinct; 3)at least one recursive set of rules; and 4)at least one connection to a real-world program. The publication revolves round examples which are packaged in two hundred+ M-files, which, jointly, converse the entire key mathematical rules and an appreciation for the subtleties of numerical computing. strength instruments of the exchange. Polynomial Interpolation. Piecewise Polynomial Interpolation. Numerical Integration. Matrix Computations. Linear structures. The QR and Cholesky Factorizations. Nonlinear Equations and Optimization. The preliminary price challenge. For engineers and mathematicians.
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