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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... | | Fuzzy Logic and Probability Applications: A Practical Guide
Probability theory and fuzzy logic are the principal components of an array of methodologies
for dealing with problems in which uncertainty and imprecision play important roles.
In relation to probability theory, fuzzy logic is a new kid on the block. As such, it has been
and continues to be, though to a lesser degree, an object of... | | 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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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... | | Marine Acoustics: Direct and Inverse Problems‘This book is a very thorough mathematical treatise on direct and inverse problems in marine acoustics. Waveguide inversion problems have not received the attention they deserve in the literature and this book may correct some of this inattention.’ John A. DeSanto, Mathematical Reviews
This book presents current... | | |
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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... | | | | |
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