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Numerical Polynomial AlgebraThis first book on the numerical analysis of polynomial systems is a stepping stone at the interface of symbolic computation and numerical computation. Bernard Sturmfels, Department of Mathematics, University of Berkeley
I am not familiar with any books that do such a careful job of combining numerical analysis with the algebra of... | | Linear and Nonlinear Optimization, Second EditionThis book provides an introduction to the applications, theory, and algorithms of linear and nonlinear optimization. The emphasis is on practical aspects—modern algorithms, as well as the influence of theory on the interpretation of solutions or on the design of software. Two important goals of this book are to present linear and nonlinear... | | Linear Programming with MATLAB (MPS-SIAM Series on Optimization)This textbook provides a self-contained introduction to linear programming using MATLAB® software to elucidate the development of algorithms and theory. Early chapters cover linear algebra basics, the simplex method, duality, the solving of large linear problems, sensitivity analysis, and parametric linear programming. In later chapters, the... |
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Matrix Algorithms, Volume IThis book, Basic Decompositions, is the first volume in a projected five-volume series entitled Matrix Algorithms. The other four volumes will treat eigensystems, iterative methods for linear systems, sparse direct methods, and special topics, including fast algorithms for structured matrices.
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| | | | Ants, Bikes, and Clocks: Problem Solving for UndergraduatesMathematics educators agree that problem solving is one of the essential skills their students should possess, yet few mathematics courses or textbooks are devoted entirely to developing this skill. Supported by narrative, examples, and exercises, Ants, Bikes, and Clocks: Problem Solving for Undergraduates is a readable and enjoyable text designed... |
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| | Numerical Computing with Simulink, Volume I: Creating SimulationsSimulation is the preferred approach for engineers and scientists who design complex systems because it allows them to test a system design's performance standards. This book explores simulation, starting with Galileo and ending with the lunar landing. It provides an introduction to computer-aided system design with Simulink®, a robust,... | | The Lanczos Method: Evolution and Application (Software, Environments and Tools)'I recommend this book to anyone who wants to appreciate the often subtle interactions between algorithm research and engineering applications. For the engineer, it comprehensively summarizes 25 years of intellectual development in the understanding of the basic Lanczos algorithm and its many variants. For the numerical analysts, it describes the... |
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