Description 
1 online resource (xvi, 290 pages) : illustrations 
Series 
Lecture notes in computational science and engineering ; 63 

Lecture notes in computational science and engineering ; 63

Contents 
Introduction; LowRank Matrices and Matrix Partitioning; Hierarchical Matrices; Approximation of Discrete Integral Operators; Application to Finite Element Discretizations 
Summary 
Hierarchical matrices are an efficient framework for largescale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmiclinear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background. The book contains the existing approx 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Matrices.


Boundary value problems.


Differential equations, Elliptic.

Form 
Electronic book

LC no. 
2008925088 
ISBN 
3540771468 (Paper) 

3540771476 

9783540771463 (Paper) 

9783540771470 
