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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...
  
   
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