Hierarchical Matrices: Algorithms and Analysis

• Main Author: Hackbusch, Wolfgang (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Springer Series in Computational Mathematics, 49
• Subjects: Mathematics.; Matrix theory.; Algebra.; Integral equations.; Partial differential equations.; Algorithms.; Numerical analysis.; Numerical Analysis.; Partial Differential Equations.; Integral Equations.; Linear and Multilinear Algebras, Matrix Theory.

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...