Eigenvalues of Matrices Françoise Chatelin, Laboratoire Central de Recherches, Thomson-CSF, Orsay, France With exercises by Françoise Cnatelin and Mario Ahués, Université de Saint-Etienne, France Translated with additional material by Walter Ledermann, University of Sussex The calculation of eigenvalues of matrices is a problem of great practical and theoretical importance with many different types of application. This book provides a modern and complete guide to this subject, at an elementary level, by presenting in matrix notation the fundamental aspects of the theory of linear operators in finite dimensions. This volume is a combination of two books; translations of Professor Chatelin’s original and the corresponding book of exercises by Professor Ahués. The exercises are an indispensable complement to the main text. Solutions are furnished for some of the exercises. The book will be of particular value to undergraduate students following courses on numerical analysis and for researchers and practitioners with an interest in this area.
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This revised edition of a classic textbook provides a complete guide to the calculation of eigenvalues of matrices. Unique features include treatments of eigensolvers and matrix nonnormality, and new material on information processing in dynamical systems. Ideal for undergraduates, and a great resource for researchers and engineers in industry
A practical and theoretical approach to the modern theory of matrix eigenvalues using the language of numerical analysis. Covers the basic elements of spectral theory of linear operators, error analysis, the calculation of eigenvalues, matrix norms, non-negative matrices and more. Each chapter features exercises with and without solutions.
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