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This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke& Jeeves, implicit filtering, MDS, and Nelder& Mead schemes in a unified way.

Programming --- Numerical analysis --- Computer science --- Mathematical optimization --- Iterative methods (Mathematics) --- 519.86 --- 519.68 --- #TELE:SISTA --- 519.6 --- 681.3 *G18 --- Theory of economic-mathematical models --- Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Mathematical optimization. --- Iterative methods (Mathematics). --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 519.68 Computer programming --- 519.86 Theory of economic-mathematical models --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Iteration (Mathematics)

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Iterative methods (Mathematics) --- Nonlinear theories --- Newton-Raphson method --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Iteration (Mathematics) --- Numerical analysis --- Method, Newton-Raphson --- Method of tangents --- Newton approximation method --- Newton iterative process --- Newton method --- Newton-Raphson algorithm --- Newton-Raphson formula --- Newton-Raphson process --- Newton's approximation method --- Newton's method --- Quadratically convergent Newton-Raphson process --- Raphson method, Newton --- -Second-order Newton-Raphson process --- Newton-Raphson method. --- Nonlinear theories. --- Iterative methods (Mathematics). --- Acqui 2006

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