According to Parlett, ‘Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts’. Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse.
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Presents the mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments.
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6 of 7 people found the following review helpful:
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Eavesdropping On A Master,
By
This review is from: The Symmetric Eigenvalue Problem (Classics in Applied Mathematics) (Paperback)
A droll explication of techniques that can be applied to understand some of the most important engineering problems: those dealing with vibrations, buckling, and earthquake resistance. While containing substantial theory, this is an applied mathematics text that reads as if you are eavesdropping on the author talking out loud to himself. What sets it off from the crowd of math books are the inside references to Parlett's friends in the business, and the dry wit. It contains NO CODE, yet discusses algorithms in detail, describing where they are good, and where they flop. The reader must pay attention, however, and work through some of the exercises with a calculator (a spreadsheet is handier, in my view). If you are looking for eigenvalues, this text is a necessary part of your toolkit.
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This book is not concerned with the abstract notion of a vector space as any set of objects which is closed under an operation that satisfies certain axioms; instead the discussion goes straight to the coordinate representation and takes Rn as the vector space of all n-dimensional column vectors with real components. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
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This book is not concerned with the abstract notion of a vector space as any set of objects which is closed under an operation that satisfies certain axioms; instead the discussion goes straight to the coordinate representation and takes Rn as the vector space of all n-dimensional column vectors with real components. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Action Cost, Prove Fact New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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100
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- Linear Algebra - Linear Systems and Eigenvalues, Volume 3 by P.M. van Dooren on 7 pages
- Handbook of Parallel Computing and Statistics (Statistics: A Series of Textbooks and Monographs) by Erricos John Kontoghiorghes on 4 pages
- Accuracy and Stability of Numerical Algorithms by Nicholas J. Higham in Front Matter, page 361, and Back Matter
- Mathematische Werke: Mathematical Works (v. 2) by Helmut Wielandt on page 59, page 463, and page 471
- Handbook of Writing for the Mathematical Sciences by Nicholas J. Higham on page 3, and Back Matter
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