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Scientific Reports:

D. Praetorius:
"Introduction to H-Matrices (Short Lecture Notes)";
Report for Institute for Applied and Numerical Analysis, ANUM Preprint 17/04; 2004; 26 pages.



English abstract:
H-Matrices became a very efficient tool for the treatment of dense
matrices which arrise in the discretization of integral equations.
This lecture notes give a very brief introduction into H- and H^2-
matrices which arrise by simple interpolation of the integral kernel.
We prove estimates on the complexity of storage/assembly as well as of the matrix-vector multiplication. A discussion of the approximation error and the first Strang lemma concludes the notes.


Electronic version of the publication:
http://www.anum.tuwien.ac.at/~dirk/download/notes/hmatrix.pdf


Created from the Publication Database of the Vienna University of Technology.