

Lecture note 21/2003
Hierarchical Matrices
Steffen Börm, Lars Grasedyck, and Wolfgang Hackbusch
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Submission date: 02. Oct. 2003 (revised version: June 2006)
Pages: 173
Bibtex
MSC-Numbers: 65F05, 65F30, 65N38
PACS-Numbers: 02.30.Jr
Keywords and phrases: hierarchical matrices, panel clustering, data-sparse approximation, bem
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Abstract:
These are the lecture notes for a winter school on the subject of hierarchical
matrices. They give an introduction both to the basic theory of H-matrices,
including complexity estimates and error estimates, and to the practice, i.e.,
the efficient implementation of the construction of cluster trees and block
cluster trees, the approximation of finite element and boundary element
matrices and the H-matrix arithmetic operations.
A program library containing all the routines from these notes and many
extensions for more sophisticated applications can be obtained from the authors.