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Matrix Algorithms, Volume I
Matrix Algorithms, Volume I
This 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
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Matrix Algorithms, Volume II: Eigensystems
Matrix Algorithms, Volume II: Eigensystems
This 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
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Linear Programming with MATLAB (MPS-SIAM Series on Optimization)
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...
Solving Nonlinear Equations with Newton's Method (Fundamentals of Algorithms)
Solving Nonlinear Equations with Newton's Method (Fundamentals of Algorithms)
This small book on Newton's method is a user-oriented guide to algorithms and implementation. Its purpose is to show, via algorithms in pseudocode, in MATLAB®, and with several examples, how one can choose an appropriate Newton-type method for a given problem and write an efficient solver or apply one written by others.

This book is
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The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing
The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing
"Destined to be a classic of modern computational science... a gourmet feast in ten courses." from the foreword by David H. Bailey, Lawrence Berkeley National Laboratory."

The authors, members of teams that solved all 10 problems, show in detail multiple approaches for solving each problem,
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Numerical Computing with IEEE Floating Point Arithmetic
Numerical Computing with IEEE Floating Point Arithmetic

Are you familiar with the IEEE floating point arithmetic standard? Would you like to understand it better? This book gives a broad overview of numerical computing, in a historical context, with a special focus on the IEEE standard for binary floating point arithmetic. Key ideas are developed step by step, taking the reader from floating point...

Solving PDEs in C++ (Computational Science and Engineering)
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...
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)
This superb book is timely and is written with great attention paid to detail, particularly in its referencing of the literature. The book has a wonderful blend of theory and code (MATLAB®) so will be useful both to nonexperts and to experts in the field. --Alan Laub, Professor, University of California, Los Angeles

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The DFT: An Owners' Manual for the Discrete Fourier Transform
The DFT: An Owners' Manual for the Discrete Fourier Transform
Just 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...
Inverse Problem Theory and Methods for Model Parameter Estimation
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
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Accuracy and Reliability in Scientific Computing (Software, Environments, Tools)
Accuracy and Reliability in Scientific Computing (Software, Environments, Tools)
Accuracy and Reliability in Scientific Computing can be considered a handbook for improving the quality of scientific computing. It will help computer scientists address the problems that affect software in general as well as the particular challenges of numerical computation.

Numerical software is used to test scientific
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Linear and Nonlinear Optimization, Second Edition
Linear and Nonlinear Optimization, Second Edition
This 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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