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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.
My intended audience is the nonspecialist... | | Matrix Algorithms, Volume II: EigensystemsThis book, Eigensystems, is the second volume in a projected five-volume series entitled Matrix Algorithms. The first volume treated basic decompositions. The three following this volume will treat iterative methods for linear systems, sparse direct methods, and special topics, including fast algorithms for structured matrices.
My... | | 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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Solving PDEs in C++ (Computational Science and Engineering)This comprehensive book not only introduces the C and C++ programming languages but also shows how to use them in the numerical solution of partial differential equations (PDEs). It leads the reader through the entire solution process, from the original PDE, through the discretization stage, to the numerical solution of the resulting algebraic... | | | | The DFT: An Owners' Manual for the Discrete Fourier TransformJust as a prism separates white light into its component bands of colored light, so the discrete Fourier transform (DFT) is used to separate a signal into its constituent frequencies. Just as a pair of sunglasses reduces the glare of white light, permitting only the softer green light to pass, so the DFT may be used to modify a signal to achieve a... |
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Inverse Problem Theory and Methods for Model Parameter Estimation‘Tarantola's book is undoubtedly the most important work on probabilistic inverse theory. It presents a complete theory where a physical parameter is represented, not by a number, but by a probability distribution.’ Klaus Mosegaard, Niels Bohr Institute
The use of actual observations to infer the properties of a... | | | | 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... |
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