FMM and H-matrices: A Short Introduction to the Basic Idea

Fenn, Markus ; Steidl, Gabriele

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URN: urn:nbn:de:bsz:180-madoc-7446
Document Type: Working paper
Year of publication: 2002
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Informatik > Technical Reports
Subject: 004 Computer science, internet
Subject headings (SWD): Matrix , Vektor , Multiplikation , Algorithmus
Keywords (English): fast multipole method , hierarchical matrices , mosaic-skeleton approximation , fast matrix-vector multiplication , fast algorithms
Abstract: The aim of this paper is a short introduction to a fundamental algorithm for the fast multiplication of vectors with fully populated, special matrices arising in various applications. The basic idea is known as fast multipole method, fast multiplication by H-matrices or by mosaic-skeleton matrices. We prefer a linear algebraic approach which may serve as a basis for student seminars in Mathematics, Computer Science or Engineering. Our introduction is accompanied by a broad, but far away from complete, list of references, where the reader may find more sophisticated material.
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Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.

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