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An introduction to this topic for novices which provides an informative review of the area for the more expert reader.
A self-contained introduction to linear programming using MATLAB(R) software.
Provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most imaging modalities in current use. In the process, it also covers many important analytic concepts, and techniques used in Fourier analysis, integral equations, sampling theory, and noise analysis.
This book's treatment of image deblurring is unique in two ways: it includes algorithmic and implementation details; and by keeping the formulations in terms of matrices, vectors, and matrix computations, it makes the material accessible to a wide range of readers.
Introduces many of the practical adaptive statistical methods and provides a comprehensive approach to tests of significance and confidence intervals.
In order to emphasize the relationships and cohesion between analytical and numerical techniques, this book presents a comprehensive and integrated treatment of both aspects in combination with the modelling of relevant problem classes.
Takes the reader who knows little of interior-point methods to within sight of the research frontier.
Presents applications of DP algorithms that are easily adapted to the reader's own interests and problems. The book is organised in such a way that it is possible for readers to use DP algorithms before thoroughly comprehending the full theoretical development.
A unified and accessible introduction to the basic theory of finite difference schemes.
In this comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems.
This book attempts to provide the reader with a practical understanding and appreciation of the field of graph algorithms.
Essential reading for those interested in understanding both the theory and the implementation of the finite element method for equilibrium problems. This volume includes a carefully documented collection of MATLAB(R) programs implementing the ideas presented in the book.
This book addresses the construction, analysis, and intepretation of mathematical models that reveal significant problems in the physical sciences.
This second edition of follows the basic premise of the first edition by discussing many of the key design issues for building search engines and emphasizing the important role that applied mathematics can play in improving information retrieval.
Covers the fundamentals of the theory of ordinary differential equations.
The only book devoted exclusively to matrix functions, this research monograph gives a thorough treatment of the theory of matrix functions and numerical methods for computing them. Its wide-ranging content makes it useful as a general reference in numerical linear algebra.
Addresses the increasingly-important role of numerical methods in science and engineering. While treating traditional and well-developed topics, it also emphasizes concepts and ideas of importance to the design of accurate and efficient algorithms with applications to scientific computing.
Discrete Convex Analysis provides the information that professionals in optimization will need to "catch up" with this new theoretical development.
This book describes several applications that exploit the unique actuator and sensor capabilities of smart material compounds.
Develops a general theory of nonsmooth analysis and geometry together with a set of associated techniques.
Peovides an introduction into the more theoretical aspects of the use of spline models. This book develops a theory and practice for the estimation of functions from noisy data on functionals.
Provides sophisticated numerical methods for the fast and accurate solution of a variety of equations, including ordinary differential equations, delay equations, integral equations, functional equations, and some partial differential equations, as well as boundary value problems.
In this book, the authors describe the first unified theory of polynomial-time interior-point methods.
Enables readers to deepen their understanding of a topic ubiquitous in mathematics and science and to tackle practical problems. The advent of fast computers and the development of numerical methods have enabled the modern engineer to use a large variety of packages to find numerical approximations to solutions of PDEs.
Collects the detailed contributions of selected groups of experts from the fields of biostatistics, control theory, epidemiology, and mathematical biology who have engaged in the development of frameworks, models, and mathematical methods needed to address some of the pressing challenges posed by acts of terror.
A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.
Treats sizing and shape optimization in a comprehensive way, covering everything from mathematical theory through computational aspects to industrial applications.
This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems.
Provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time.
No one working in duality should be without a copy of this book. It contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension).
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