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Numerical linear in Mathematics Books

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Introduction to Numerical Linear Algebra Dn Optimisation by Philippe G. Ciarlet (Paperback - Illustr
 

Introduction to Numerical Linear Algebra...

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Introduction to Numerical Linear Algebra Dn Optimisation by Philippe G. Ciarlet (Paperback - Illustr
Based on courses taught to advanced undergraduate students, this book offers a broad introduction to the methods of numerical linear algebra and optimization. The prerequisites are familiarity with the basic properties of matrices, finite-dimensional vector spaces and advanced calculus, and some exposure to fundamental notions from functional analysis. The book is divided into two parts. The first part deals with numerical linear algebra (numerical analysis of matrices, direct and indirect methods fpr solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimizations (general algorithms, linear and nonlinear programming). Summaries of basic mathematics are provided, proof of theorems are complete yet kept as simple as possible, applications from physics and mechanics are discussed, a great many exercises are included, and there is a useful guide to further reading.

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Compact Numerical Methods for Computers by J.C. Nash (Paperback - Inst of Physics Pub Inc)
 

Compact Numerical Methods for Computers ...

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Compact Numerical Methods for Computers by J.C. Nash (Paperback - Inst of Physics Pub Inc)

A handbook for the computational solution of numerical problems by computer users of all disciplines, particularly relevant to those working with 'small' computers. Emphasis is placed on the various problem types, how they arise and how they can be solved in practical situations. Each problem type is illustrated by an appropriate example and each method is accompanied by a step by step description of the corresponding algorithm. Requiring little previous training in numerical analysis this book may be used as a supplementary text for courses on numerical methods, computational problems or applications of small computers.

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Numerical Range by Karl E. Gustafson (Paperback - Springer Verlag)
 

Numerical Range by Karl E. Gustafson (Pa...

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Numerical Range by Karl E. Gustafson (Paperback - Springer Verlag)
The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the opportunity to encounter such concepts and applications in their first course in linear algebra. This subject and its extensions to infinite dimensions comprise the theory of the numerical range W(T) This book is dedicated to presenting the fundamentals of the subject. In order to make the book quickly informative, the authors place and keep the subject in a complex Hilbert space. This setting is the heart of the numerical range theory for bounded linear operators T and naturally contains the field of values for finite dimensional matrices T. This book is a particularly well-prepared account of a beautiful and interesting part of functional analysis that also has important applications in numerical analysis.

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$55
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