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Hierarchical MatricesHierarchical matrices are an efficient tool for the approximation of dense matrices resulting from the discretization of integral operators or partial differential equations.
http://www.hmatrix.org/
Hierarchical matrices are an efficient tool for the approximation of dense matrices resulting from the discretization of integral operators or partial differential equations.
http://www.hmatrix.org/
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Hierarchical Matrices | hmatrix.org Reviews
https://hmatrix.org
Hierarchical matrices are an efficient tool for the approximation of dense matrices resulting from the discretization of integral operators or partial differential equations.
Hierarchical Matrices: Frequently Asked Questions
http://www.hmatrix.org/faqs.html
What is a hierarchical matrix? Where can I find a good introduction? Is there software available? Can I control the storage requirements when performing. Can I control the precision when performing. What kinds of integral equations can be treated by hierarchical matrices? I want to use hierarchical matrices in an existing code for integral equations. How much programming would be required? How are hierarchical matrices related to panel clustering algorithms and multipole methods? Should I use the. Of the...
Hierarchical Matrices: Literature
http://www.hmatrix.org/literature.html
H-LU factorization on many-core systems. LU factorization is a very important algorithm for the construction of robust. Matrix preconditioners for BEM and FEM problems. This paper describes how the construction of the factorization can be implemented efficiently on a many-core system by using a task-graph approach. S Börm, K. Reimer:. Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates. To appear in Comp. Vis. Sci. Most arithmetic algorithms for. Factoring ...
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The Living Thing / Notebooks : Matrix factorisation, approximate
https://livingthing.danmackinlay.name/matrix_factorisation.html
The Living Thing / Notebooks. Matrix factorisation, approximate. Your big matrix is the product (or sum, or…) of two matrices that are in some way simple (small-rank, small dimension, sparse), possibly with additional constraints. Can you find these simple matrices? Here’s an example. Godec. 8212;- A decomposition into low-rank. Sparse components. (looks combined multidimensional factorisation and outlier detection). Implementations for MATLAB. Which I think is a classic. I should explain why. T = I and ...
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Hierarchical Matrices
The first release of the new H2Lib package has been released to the public. It is closely related to HLib. But differs in a number of important points:. H2Lib is published as free and open source software under the GNU lesser public license. It can be obtained free of charge at GitHub. The library offers matrix arithmetic operations (multiplication, inversion, factorization) both for hierarchical matrices and H²-matrices. These packages are not required. Winterschool on hierarchical matrices. From the 11...
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