Hierarchical Matrices: Algorithms and Analysis (Softcover Repri) (Paperback)
 
作者: Wolfgang Hackbusch 
分類: Algebra ,
Differential calculus & equations ,
Integral calculus & equations ,
Numerical analysis ,
Algorithms & data structures  
書城編號: 15948072


售價: $2000.00

購買後立即進貨, 約需 18-25 天

 
 
出版社: Springer Nature
出版日期: 2019/03/14
重量: 0.75 kg
ISBN: 9783662568941

商品簡介


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.

Wolfgang Hackbusch 作者作品表

eBook: Tensor Spaces and Numerical Tensor Calculus (DRM PDF)

eBook: Elliptic Differential Equations: Theory and Numerical Treatment (DRM PDF)

eBook: Theorie und Numerik elliptischer Differentialgleichungen (DRM PDF)

eBook: Iterative Solution of Large Sparse Systems of Equations (DRM PDF)

eBook: Hierarchical Matrices: Algorithms and Analysis (DRM PDF)

Hierarchical Matrices (Hardcover)

eBook: Concept of Stability in Numerical Mathematics (DRM PDF)

eBook: Numerical Techniques for Boundary Element Methods: Proceedings of the Seventh GAMM-Seminar Kiel, January 25-27, 1991 (DRM PDF)

eBook: Integralgleichungen: Theorie und Numerik (DRM PDF)

eBook: Efficient Solutions of Elliptic Systems: Proceedings of a GAMM-Seminar Kiel, January 27 to 29, 1984 (DRM PDF)

eBook: Integralgleichungen: Theorie und Numerik (DRM PDF)

eBook: Robust Multi-Grid Methods: Proceedings of the Fourth GAMM-Seminar, Kiel, January 22 to 24,1988 (DRM PDF)

eBook: Theorie und Numerik elliptischer Differentialgleichungen (DRM PDF)

eBook: Multi-Grid Methods and Applications (DRM PDF)

eBook: Iterative Losung groer schwachbesetzter Gleichungssysteme (DRM PDF)

eBook: Iterative Solution of Large Sparse Systems of Equations (DRM PDF)

eBook: Integral Equations: Theory and Numerical Treatment (DRM PDF)

eBook: Tensor Spaces and Numerical Tensor Calculus (DRM PDF)

eBook: Hierarchische Matrizen: Algorithmen und Analysis (DRM PDF)

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