Synopsis
This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix.
The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition.
Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchicalmatrices is of interest to scientists in computational mathematics, physics, chemistry and engineering.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
The author is a very well-known author of Springer, working in the field of numerical mathematics for partial differential equations and integral equations. He has published numerous books in the SSCM series, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and a book in German about the technique of hierarchical matrices. Hackbusch is member of the editorial board of Springer' s book series "Advances in Numerical Mathematics", "The International Cryogenics Monograph Series" and has now joined as new member of the editorial board of "Springer Series of Computational Mathematics".
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Hierarchical Matrices : Algorithms and Analysis
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Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics, 49)
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Hierarchical Matrices: Algorithms and Analysis
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ISBN 10 : 3662473232
ISBN 13 : 9783662473238
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix.The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition.Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchical matrices is of interest to scientists in computational mathematics, physics, chemistry and engineering. 540 pp. Englisch. N° de réf. du vendeur 9783662473238
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Hierarchical Matrices : Algorithms and Analysis
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Springer, 2015
ISBN 10 : 3662473232
ISBN 13 : 9783662473238
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Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Hierarchical Matrices: Algorithms and Analysis
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ISBN 10 : 3662473232
ISBN 13 : 9783662473238
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Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni
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Hardback. Etat : New. 1st ed. 2015. This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix.The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition.Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchicalmatrices is of interest to scientists in computational mathematics, physics, chemistry and engineering. N° de réf. du vendeur LU-9783662473238
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Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics, 49)
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Hierarchical Matrices: Algorithms and Analysis
Edité par
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2015
ISBN 10 : 3662473232
ISBN 13 : 9783662473238
Neuf
Couverture rigide
Vendeur : Rarewaves.com UK, London, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Hardback. Etat : New. 1st ed. 2015. This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix.The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition.Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchicalmatrices is of interest to scientists in computational mathematics, physics, chemistry and engineering. N° de réf. du vendeur LU-9783662473238
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Hierarchical Matrices
Edité par
Springer Berlin Heidelberg, 2015
ISBN 10 : 3662473232
ISBN 13 : 9783662473238
Neuf
Couverture rigide
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Matrix algorithms of almost linear costApplication to matrix equations and matrix functionsSelf-contained contents by means of five appendicesMatrix algorithms of almost linear costApplication to matrix equations and matrix func. N° de réf. du vendeur 35622110
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