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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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Numerical Polynomial Algebra
Numerical Polynomial Algebra
This 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
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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...
Fast Reliable Algorithms for Matrices with Structure (Advances in Design and Control)
Fast Reliable Algorithms for Matrices with Structure (Advances in Design and Control)
This book is the first to pay special attention to the combined issues of speed and numerical reliability in algorithm development. These two requirements have often been regarded as competitive, so much so that the design of fast and numerically reliable algorithms for large-scale structured systems of linear equations, in many cases, remains a...
Introduction to the Mathematics of Medical Imaging, Second Edition
Introduction to the Mathematics of Medical Imaging, Second Edition
At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most imaging modalities in...
Understanding Search Engines: Mathematical Modeling and Text Retrieval (Software, Environments, Tools), Second Edition
Understanding Search Engines: Mathematical Modeling and Text Retrieval (Software, Environments, Tools), Second Edition
“There is no other information retrieval/search book where the heart is the mathematical foundations. This book is greatly needed to further establish information retrieval as a serious academic, as well as practical and industrial, area." ---Jaime Carbonell, Carnegie Mellon University. “Berry and Browne describe most of what...
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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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...
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...
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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The Lanczos and Conjugate Gradient Algorithms: From Theory to Finite Precision Computations
The Lanczos and Conjugate Gradient Algorithms: From Theory to Finite Precision Computations
"No present book comes near this one in the range and depth of treatment of these two extremely important methods—the Lanczos algorithm and the method of conjugate gradients." Chris Paige, School of Computer Science, McGill University.   The Lanczos and conjugate gradient (CG) algorithms are fascinating numerical...
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...
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