Hierarchical Matrices: Algorithms and Analysis (Springer Series in Computational Mathematics)
Hackbusch, Wolfgang
ISBN 10: 3662473232 ISBN 13: 9783662473238
Published by Springer, 2015
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Hardcover
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Series: Springer Series in Computational Mathematics. Num Pages: 511 pages, 27 black & white illustrations, 60 colour illustrations, biography. BIC Classification: PBF; PBKJ; PBKS. Category: (P) Professional & Vocational. Dimension: 235 x 155. . . 2015. 1st ed. 2015. Hardcover. . . . . Seller Inventory # V9783662473238
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.
About the Author: 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".
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Bibliographic Details
Title: Hierarchical Matrices: Algorithms and ...
Publisher: Springer
Publication Date: 2015
Binding: Hardcover
Condition: New
Edition: 1st Edition
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Hierarchical Matrices: Algorithms and Analysis (Hardcover)
Published by
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2015
ISBN 10: 3662473232
ISBN 13: 9783662473238
New
Hardcover
First Edition
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. 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. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783662473238
Quantity: 1 available
Stock Image
Hierarchical Matrices: Algorithms and Analysis (Hardcover)
Published by
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2015
ISBN 10: 3662473232
ISBN 13: 9783662473238
New
Hardcover
First Edition
Seller: AussieBookSeller, Truganina, VIC, Australia
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. 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. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9783662473238
Quantity: 1 available