This volume, which became a classic on first publication, is perhaps the most important and widely read book in the field of numerical analysis. It presents a distillation of the author's pioneering discoveries concerning the computation of matrix eigenvalues. The emphasis is on the transmission of knowledge rather than elaborate proofs. The book will be valued by all practicing numerical analysts, students and researchers in the field, engineers, and scientists.
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" . . . a classic . . . Questions of sensitivity, and the economy and stability of many numerical methods are treated in rigorous detail, but always in a manner accessible to engineers and scientists." --Quarterly of Applied Mathematics
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4 of 4 people found the following review helpful:
5.0 out of 5 stars
Does Not Get Any Better Than This...,
By Good_Authors_Are_Retired (Sunnyvale, CA) - See all my reviews
This review is from: The Algebraic Eigenvalue Problem (Monographs on Numerical Analysis) (Paperback)
This book is really something else.
I found it in my boss' collection, and my appreciation to his taste of books doubled instantly as I started going over the pages. I was aware of the book through Golub and Van Loan's endless citations to it (as AEP) whenever they reach a hard to prove theorem on eigenvalues. Wilkinson presents hardcore material with clarity, I really appreciate the authorship. For those who share my background (electrical engineering), the authorship is similar to Gallager's "Information Theory and Reliable Communication", or Wozencraft's "Principles of Communication Engineering". Wilkinson is surprising in this book however. Immediately, after hardcore numerical stability bound derivations, he starts giving practical examples, does not appear to talk down to the reader. This book is a treasure. Wilkinson is my hero! Very likely, the book by Parlett "Symmetric Eigenvalue Problem" will be a good companion. When someone borrows your AEP, you can continue learning from SEP.
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Inside This Book
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First Sentence:
IN THIS introductory chapter we shall give a brief account of the classical theory of canonical forms and of several other theoretical topics which will be required in the remainder of the book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
correctly rounded solution, stabilized elementary transformations, successive linear interpolation, deflated matrices, explicit polynomial form, linear elementary divisors, elementary unitary transformations, quadratic divisor, linear divisors, deflated matrix, elementary similarity transformations, low relative error, matrix squaring, rth step, auxiliary store, orthogonal triangularization, working accuracy, coincident eigenvalues, correct significant figures, iterated vectors, cubic convergence, triangular decomposition, pivotal rows, pivotal growth, equivalent perturbations Key Phrases - Capitalized Phrases (CAPs): (learn more)
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IN THIS introductory chapter we shall give a brief account of the classical theory of canonical forms and of several other theoretical topics which will be required in the remainder of the book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
correctly rounded solution, stabilized elementary transformations, successive linear interpolation, deflated matrices, explicit polynomial form, linear elementary divisors, elementary unitary transformations, quadratic divisor, linear divisors, deflated matrix, elementary similarity transformations, low relative error, matrix squaring, rth step, auxiliary store, orthogonal triangularization, working accuracy, coincident eigenvalues, correct significant figures, iterated vectors, cubic convergence, triangular decomposition, pivotal rows, pivotal growth, equivalent perturbations Key Phrases - Capitalized Phrases (CAPs): (learn more)
National Physical Laboratory New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 13
books:
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100
books
cite this book:
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- Methods of Mathematical Physics, Vol. 1 by Richard Courant in Back Matter
- Matrix Theory, Vol. 2 by Felix R. Gantmacher in Back Matter
- Computational Methods of Linear Algebra by V. N. Faddeeva in Back Matter
- Iterative Methods by Engeli in Back Matter
- Mathematical Methods for Digital Computers: v. 2 by Anthony Ralston in Back Matter
See all 13 books this book cites
- Mathematische Werke: Mathematical Works (v. 2) by Helmut Wielandt on 5 pages
- Introduction to Theoretical and Computational Fluid Dynamics by C. Pozrikidis on 4 pages
- Handbook of Parallel Computing and Statistics (Statistics: A Series of Textbooks and Monographs) by Erricos John Kontoghiorghes on page 163, page 191, and page 195
- Theory of Adaptive Structures: Incorporating Intelligence into Engineered Products (New Directions in Civil Engineering) by Senol Utku on page 74, page 90, and page 136
- Introduction to Dynamics and Control of Flexible Structures (Aiaa Education Series) by John L. Junkins on page 65, page 396, and Back Matter
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