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Synopsis
The solution of eigenvalue problems is an integral part of many scientific computations. For example, the numerical solution of problems in structural dynamics, electrical networks, macro-economics, quantum chemistry, and c- trol theory often requires solving eigenvalue problems. The coefficient matrix of the eigenvalue problem may be small to medium sized and dense, or large and sparse (containing many zeroelements). In the past tremendous advances have been achieved in the solution methods for symmetric eigenvalue pr- lems. The state of the art for nonsymmetric problems is not so advanced; nonsymmetric eigenvalue problems can be hopelessly difficult to solve in some situations due, for example, to poor conditioning. Good numerical algorithms for nonsymmetric eigenvalue problems also tend to be far more complex than their symmetric counterparts. This book deals with methods for solving a special nonsymmetric eig- value problem; the symplectic eigenvalue problem. The symplectic eigenvalue problem is helpful, e.g., in analyzing a number of different questions that arise in linear control theory for discrete-time systems. Certain quadratic eigenvalue problems arising, e.g., in finite element discretization in structural analysis, in acoustic simulation of poro-elastic materials, or in the elastic deformation of anisotropic materials can also lead to symplectic eigenvalue problems. The problem appears in other applications as well.
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Symplectic Methods For The
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Symplectic Methods for the Symplectic Eigenproblem
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Hardcover. Condition: Very Good. Dust Jacket Condition: DJ not issued. DJ not issued. Ex University of California, Berkeley Math/Stat Library book with usual library markings. Hardcover rubbings. Binding is tight, text clean. No other marks in very lightly read book. Monograph presents detailed study of algorithms for the numerical eigenvalue computation of real symplectic matrices. Seller Inventory # mon0000013354
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Symplectic Methods for the Symplectic Eigenproblem
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Kluwer Academic/Plenum Publishers, New York., 2000
ISBN 10: 0306464780
ISBN 13: 9780306464782
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Symplectic Methods for the Symplectic Eigenproblem
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Symplectic Methods for the Symplectic Eigenproblem
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Symplectic Methods for the Symplectic Eigenproblem
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Symplectic Methods for the Symplectic Eigenproblem (Hardcover)
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Springer Science+Business Media, New York, 2000
ISBN 10: 0306464780
ISBN 13: 9780306464782
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Hardcover. Condition: new. Hardcover. The symplectic eigenvalue problem is helpful in analyzing a number of different questions that arise in linear control theory for discrete-time systems. Industrial production and technological processes may suffer from unwanted behaviour, for example, losses in the start-up and change-over phases of operation, pollution, emission of harmful elements, and production of unwanted by-products. Control techniques offer the possibility of analyzing such processes in order to detect the underlying causes of the unwanted behaviour. This monograph describes techniques for solving small to medium-sized as well as large and sparse symplectic eigenvalue problems. The text presents all developed algorithms in Matlab-programming style and numerical examples to demonstrate their abilities, all of which makes the text accessible to graduate students in applied mathematics and control engineering, as well as to researchers in these areas. This monograph describes techniques for solving small to medium-sized as well as large and sparse symplectic eigenvalue problems. The text presents all developed algorithms in Matlab-programming style and numerical examples to demonstrate their abilities. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780306464782
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Symplectic Methods for the Symplectic Eigenproblem
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Symplectic Methods for the Symplectic Eigenproblem
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