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This book is about computing eigenvalues, eigenvectors, and invariant subspaces of matrices. Treatment includes generalized and structured eigenvalue problems and all vital aspects of eigenvalue computations. A unique feature is the detailed treatment of structured eigenvalue problems, providing insight on accuracy and efficiency gains to be expected from algorithms that take the structure of a matrix into account.
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Recensione
From the reviews:
"This book deals with the numerical methods for general and structured eigenvalue problems. ... These lecture notes provide a detailed treatment and an updated account on the various eigenvalue algorithms and related topics ... . In today’s world of computing, it is certainly a valuable reference and tool for anyone using methods of numerical linear algebra." (Amin Boumenir, Zentralblatt MATH, Vol. 1079, 2006)
“A detailed treatment of methods for special matrices such as unitary, skew-Hamiltonian, Hamiltonian, symplectic, and product form. ... Kressner has two very useful short appendices, one on basic ideas in control theory and the other on available software. ... present the state of the art, for general and special eigenvalue problems, in a very clear manner. ... That said, we are lucky to have ... such fine books that reveal the clever ideas and techniques that constitute current matrix eigenvalue algorithms.” (Beresford Parlett, SIAM Review, Vol. 52 (4), 2010)
Contenuti
The QR Algorithm.- The QZ Algorithm.- The Krylov-Schur Algorithm.- Structured Eigenvalue Problems.- Background in Control Theory Structured Eigenvalue Problems.- Software.
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Numerical Methods for General and Structured Eigenvalue Problems
Editore:
Springer-Verlag GmbH, 2005
ISBN 10: 3540245464
ISBN 13: 9783540245469
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Numerical Methods for General and Structured Eigenvalue Problems
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Paperback. Condizione: Very Good. No Jacket. Former library book; May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 0.94. Codice articolo G3540245464I4N10
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Numerical Methods for General and Structured Eigenvalue Problems
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book is about computing eigenvalues, eigenvectors, and invariant subspaces of matrices. Treatment includes generalized and structured eigenvalue problems and all vital aspects of eigenvalue computations. A unique feature is the detailed treatment of. Codice articolo 4886302
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Numerical Methods for General and Structured Eigenvalue Problems
Editore:
Springer, Berlin, Springer Berlin Heidelberg, Springer, 2005
ISBN 10: 3540245464
ISBN 13: 9783540245469
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The purpose of this book is to describe recent developments in solving eig- value problems, in particular with respect to the QR and QZ algorithms as well as structured matrices. Outline Mathematically speaking, the eigenvalues of a square matrix A are the roots of its characteristic polynomial det(A I). An invariant subspace is a linear subspace that stays invariant under the action of A. In realistic applications, it usually takes a long process of simpli cations, linearizations and discreti- tions before one comes up with the problem of computing the eigenvalues of a matrix. In some cases, the eigenvalues have an intrinsic meaning, e.g., for the expected long-time behavior of a dynamical system; in others they are just meaningless intermediate values of a computational method. The same applies to invariant subspaces, which for example can describe sets of initial states for which a dynamical system produces exponentially decaying states. Computing eigenvalues has a long history, dating back to at least 1846 when Jacobi [172] wrote his famous paper on solving symmetric eigenvalue problems. Detailed historical accounts of this subject can be found in two papers by Golub and van der Vorst [140, 327]. 258 pp. Englisch. Codice articolo 9783540245469
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Numerical Methods for General and Structured Eigenvalue Problems (Lecture Notes in Computational Science and Engineering, 46)
Da: Ria Christie Collections, Uxbridge, Regno Unito
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Numerical Methods for General and Structured Eigenvalue Problems
Editore:
Springer, Berlin, Springer Berlin Heidelberg, Springer, 2005
ISBN 10: 3540245464
ISBN 13: 9783540245469
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The purpose of this book is to describe recent developments in solving eig- value problems, in particular with respect to the QR and QZ algorithms as well as structured matrices. Outline Mathematically speaking, the eigenvalues of a square matrix A are the roots of its characteristic polynomial det(A I). An invariant subspace is a linear subspace that stays invariant under the action of A. In realistic applications, it usually takes a long process of simpli cations, linearizations and discreti- tions before one comes up with the problem of computing the eigenvalues of a matrix. In some cases, the eigenvalues have an intrinsic meaning, e.g., for the expected long-time behavior of a dynamical system; in others they are just meaningless intermediate values of a computational method. The same applies to invariant subspaces, which for example can describe sets of initial states for which a dynamical system produces exponentially decaying states. Computing eigenvalues has a long history, dating back to at least 1846 when Jacobi [172] wrote his famous paper on solving symmetric eigenvalue problems. Detailed historical accounts of this subject can be found in two papers by Golub and van der Vorst [140, 327]. Codice articolo 9783540245469
Quantità: 2 disponibili
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Numerical Methods for General and Structured Eigenvalue Problems (Lecture Notes in Computational Science and Engineering, 46)
Da: California Books, Miami, FL, U.S.A.
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Condizione: New. Codice articolo I-9783540245469
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Numerical Methods for General and Structured Eigenvalue Problems
Da: Books Puddle, New York, NY, U.S.A.
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Condizione: New. pp. 280. Codice articolo 26345976
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Numerical Methods for General and Structured Eigenvalue Problems
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Condizione: New. Print on Demand pp. 280 Illus. Codice articolo 7534759
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Numerical Methods for General and Structured Eigenvalue Problems
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Condizione: New. PRINT ON DEMAND pp. 280. Codice articolo 18345970
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