eigenvalues matrices 2024

Eigenvalues of Matrices

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Eigenvalues of Matrices Françoise Chatelin Laboratoire Central de Recherches ThomsonCSF Orsay France With exercises by Françoise Cnatelin and Mario Ahués Université de SaintEtienne 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 Chatelins 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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Matrix Computations and Semiseparable

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The general properties and mathematical structures of semiseparable matrices were presented in volume 1 of Matrix Computations and Semiseparable Matrices In volume 2 Raf Vandebril Marc Van Barel and Nicola Mastronardi discuss the theory of structured eigenvalue and singular value computations for semiseparable matrices These matrices have hidden properties that allow the development of efficient methods and algorithms to accurately compute the matrix eigenvalues This thorough analysis of semiseparable matrices explains their theoretical underpinnings and contains a wealth of information on implementing them in practice Many of the routines featured are coded in Matlab and can be downloaded from the Web for further exploration

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Matrices and linear algebra

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Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants eigenvalues and differential equations Numerous exercises both truefalse and multiple choice with each chapter Answer section

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Multivariable Calculus with Matrices 6th

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This is the most extensively visual book in the markethighlighted by hundreds of Mathematica and MATLAB generated figures throughout It now contains a full chapter of material on matrices and eigenvalues up front All of Multivariable Calculus has been rewritten with matrix notation Chapter topics include infinite series vectors and matrices curves and surfaces in space partial differentiation multiple integrals and vector calculus

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Multivariable Calculus with Matrices 6th

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This is the most extensively visual book in the markethighlighted by hundreds of Mathematica and MATLAB generated figures throughout It now contains a full chapter of material on matrices and eigenvalues up front All of Multivariable Calculus has been rewritten with matrix notation Chapter topics include infinite series vectors and matrices curves and surfaces in space partial differentiation multiple integrals and vector calculus

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Spectra and Pseudospectra The Behavior

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Pure and applied mathematicians physicists scientists and engineers use matrices and operators and their eigenvalues in quantum mechanics fluid mechanics structural analysis acoustics ecology numerical analysis and many other areas However in some applications the usual analysis based on eigenvalues fails For example eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow Markov chains ecological models and matrix iterations Thats where this book comes in This is the authoritative work on nonnormal matrices and operators written by the authorities who made them famous Each of the sixty sections is written as a selfcontained essay Each document is a lavishly illustrated introductory survey of its topic complete with beautiful numerical experiments and all the right references The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences

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Spectra And Pseudospectra The Behavior

Find tips, reviews, and features on Spectra And Pseudospectra The Behavior sold for 124.9 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.

Pure and applied mathematicians physicists scientists and engineers use matrices and operators and their eigenvalues in quantum mechanics fluid mechanics structural analysis acoustics ecology numerical analysis and many other areas However in some applications the usual analysis based on eigenvalues fails For example eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow Markov chains ecological models and matrix iterations Thats where this book comes in This is the authoritative work on nonnormal matrices and operators written by the authorities who made them famous Each of the sixty sections is written as a selfcontained essay Each document is a lavishly illustrated introductory survey of its topic complete with beautiful numerical experiments and all the right references The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences

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Linear Algebra

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This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps including eigenvectors and eigenvalues quadratic and hermitian forms diagnolization of symmetric hermitian and unitary linear maps and matrices triangulation and Jordan canonical form Material in this new edition has been rewritten and reorganized and new exercises have been added

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A Brief Introduction to Spectral

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Spectral graph theory starts by associating matrices to graphs notably the adjacency matrix and the Laplacian matrix The general theme is then first to compute or estimate the eigenvalues of such matrices and second to relate the eigenvalues to structural properties of graphs As it turns out the spectral perspective is a powerful tool Some of its loveliest applications concern facts that are in principle purely graph theoretic or combinatorial This text is an introduction to spectral graph theory but it could also be seen as an invitation to algebraic graph theory The first half is devoted to graphs finite fields and how they come together This part provides an appealing motivation and context for the second spectral half The text is enriched by many exercises and their solutions The target audience is students at the upper undergraduate level and above The book only assumes a familiarity with linear algebra and basic group theory Graph theory finite fields and character theory for abelian groups receive a concise overview and render the text essentially selfcontained

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Introduction to Matrix Computations

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Numerical linear algebra is far too broad a subject to treat in a single introductory volume Stewart has chosen to treat algorithms for solving linear systems linear least squares problems and eigenvalue problems involving matrices whose elements can all be contained in the highspeed storage of a computer By way of theory the author has chosen to discuss the theory of norms and perturbation theory for linear systems and for the algebraic eigenvalue problem These choices exclude among other things the solution of large sparse linear systems by direct and iterative methods linear programming and the useful PerronFrobenious theory and its extensions However a person who has fully mastered the material in this book should be well prepared for independent study in other areas of numerical linear algebra

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Linear Algebra and Matrix Theory

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Intended for a serious first course or a second course in linear algebra this book carries students beyond eigenvalues and eigenvectors to the classification of bilinear forms normal matrices spectral decompositions the Jordan form and sequences and series of matrices The authors present the material from a structural point of view fundamental algebraic properties of the entities involved are emphasized The approach is particularly important because the mathematical systems encountered in linear algebra furnish a wealth of examples for the structures studied in more advanced courses By taking a straight and smooth path to the heart of linear algebra students will be able to make the transition from the intuitive developments of courses at a lower level to the more abstract treatments encountered later

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Linear Algebra Undergraduate Texts in

Explore tips, opinions, and features on Linear Algebra Undergraduate Texts in sold at 31.7 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.

This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps including eigenvectors and eigenvalues quadratic and hermitian forms diagnolization of symmetric hermitian and unitary linear maps and matrices triangulation and Jordan canonical form Material in this new edition has been rewritten and reorganized and new exercises have been added

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Linear Algebra

Discover information, advice, and prices for Linear Algebra sold for 43.88 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .

The coverage is standard linear systems and Gauss method vector spaces linear maps and matrices determinants and eigenvectors and eigenvalues Prerequisites A semester of calculus Students with three semesters of calculus can skip a few sections Applications Each chapter has three or four discussions of additional topics and applications These are suitable for independent study or for small group work What makes it different The approach is developmental Although the presentation is focused on covering the requisite material by proving things it does not start with an assumption that students are already able at abstract work Instead it proceeds with a great deal of motivation many computational examples and exercises that range from routine verifications to a few challenges The goal is in the context of developing the usual material of an undergraduate linear algebra course to help raise the level of mathematical maturity of the class

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Linear Algebra Algorithms Applications and

Explore tips, opinions, and features on Linear Algebra Algorithms Applications and sold at 111.49 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.

In this appealing and wellwritten text Richard Bronsonnbspstarts with the concrete and computational and leads the reader to a choice of major applications The first three chapters address the basics matrices vector spaces and linear transformations The next three cover eigenvalues Euclidean inner products and Jordan canonical forms offering possibilities that can be tailored to the instructors taste and to the length of the course Bronsons approach to computation is modern and algorithmic and his theory is clean and straightforward Throughout the views of the theory presented are broad and balanced andnbspkey material is highlighted in the text and summarized at the end of each chapter The book also includes ample exercises with answers and hints Prerequisite One year of calculus is recommendedIntroduces deductive reasoning and helps the reader develop a facility with mathematical proofsProvides a balanced approach to computation and theory by offering computational algorithms for finding eigenvalues and eigenvectors Offers excellent exercise sets ranging from drill to theoreticalchalleging along with useful and interesting applications not found in other introductory linear algebra texts

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Linear Algebra Algorithms Applications and

Explore tips, opinions, and features on Linear Algebra Algorithms Applications and sold at 237.36 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.

In this appealing and wellwritten text Richard Bronsonnbspstarts with the concrete and computational and leads the reader to a choice of major applications The first three chapters address the basics matrices vector spaces and linear transformations The next three cover eigenvalues Euclidean inner products and Jordan canonical forms offering possibilities that can be tailored to the instructors taste and to the length of the course Bronsons approach to computation is modern and algorithmic and his theory is clean and straightforward Throughout the views of the theory presented are broad and balanced andnbspkey material is highlighted in the text and summarized at the end of each chapter The book also includes ample exercises with answers and hints Prerequisite One year of calculus is recommendedIntroduces deductive reasoning and helps the reader develop a facility with mathematical proofsProvides a balanced approach to computation and theory by offering computational algorithms for finding eigenvalues and eigenvectors Offers excellent exercise sets ranging from drill to theoreticalchalleging along with useful and interesting applications not found in other introductory linear algebra texts

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Elementary Linear Algebra 7th Edition

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This introduction to linear algebra offers a balance between abstractiontheory and computational skills KEY TOPICS Linear Equations and Matrices Real Vector Spaces Inner Product Spaces Linear Transformations and Matrices Determinants Eigenvalues and Eigenvectors Differential Equations MATLAB for Linear Algebra MATLAB Exercises For anyone needing a basic understanding of matrix theory or computational skills involving linear algebra

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Numerical Methods With Numerous Examples

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310 pp 1st ed 1st printing Numberical Methods with Numerous Examples and Solved Illustrative Problems This book is an excellent reference and an introduction to problems in differential equations integrals matrices Eigenvalues etc

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Linear Algebra and Matrix Theory

Discover information, advice, and prices for Linear Algebra and Matrix Theory sold for 351.57 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .

Intended for a serious first course or a second course in linear algebra this book carries students beyond eigenvalues and eigenvectors to the classification of bilinear forms normal matrices spectral decompositions the Jordan form and sequences and series of matrices The authors present the material from a structural point of view fundamental algebraic properties of the entities involved are emphasized The approach is particularly important because the mathematical systems encountered in linear algebra furnish a wealth of examples for the structures studied in more advanced courses By taking a straight and smooth path to the heart of linear algebra students will be able to make the transition from the intuitive developments of courses at a lower level to the more abstract treatments encountered later

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Linear Algebra Dover Books on

Explore tips, opinions, and features on Linear Algebra Dover Books on sold at 24.75 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.

A thorough first course in linear algebra this twopart treatment begins with the basic theory of vector spaces and linear maps including dimension determinants eigenvalues and eigenvectors The second section addresses more advanced topics such as the study of canonical forms for matrices The treatment can be tailored to satisfy the requirements of both introductory and advanced courses Introductory courses that also serve as an initiation into formal mathematics will focus on the first six chapters Students already schooled in matrices and linear mappings as well as theoremproving will quickly proceed to selected chapters from part two The selection can emphasize algebra or analysisgeometry as needed Ample examples applications and exercises appear throughout the text which is supplemented by three helpful Appendixes

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Linear Algebra

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This book covers the material of an introductory course in linear algebra Topics include sets and maps vector spaces bases linear maps matrices determinants systems of linear equations Euclidean spaces eigenvalues and eigenvectors diagonalization of selfadjoint operators and classification of matrices It contains multiple choice tests with commented answers

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