Hierarchical Matrices is popular PDF and ePub book, written by Mario Bebendorf in 2008-06-25, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Hierarchical Matrices can be Read Online from any device for your convenience.
Hierarchical Matrices Book PDF Summary
Hierarchical matrices are an efficient framework for large-scale 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 logarithmic-linear 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 approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions. The theory is supported by many numerical experiments from real applications.
Detail Book of Hierarchical Matrices PDF
- Author : Mario Bebendorf
- Release : 25 June 2008
- Publisher : Springer Science & Business Media
- ISBN : 9783540771470
- Genre : Mathematics
- Total Page : 303 pages
- Language : English
- PDF File Size : 18,8 Mb
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