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Software libraries that implement hierarchical matrices
https://github.com/gchavez2/awesome_hierarchical_matrices

List: awesome_hierarchical_matrices

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Software libraries that implement hierarchical matrices

Awesome Lists containing this project

README 

        
![$\mathcal{H}$-Matrices](https://img.shields.io/badge/H-Matrices-green.svg "H-Matrices")



Curated list of [Hierarchical Matrices](http://en.wikipedia.org/wiki/Hierarchical_matrix) ($\mathcal{H}$-Matrices) libraries (by language) and papers (by year). Inspired by the [awesome-awesomeness](https://github.com/bayandin/awesome-awesomeness) list.



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## C



### [HiCMA](https://github.com/ecrc/hicma) Hatem Ltaief, Kadir Akbudak (King Abdullah University of Science and Technology)

- Open source

- Hierarchical format: $\mathcal{H}$



### [Hlib](http://hlib.org/) Lars Grasedyck and Steffen Börm (Leipzig, Max Planck Institute)

- Source code available through signed license agreement.

- Hierarchical format: $\mathcal{H}$ and $\mathcal{H}^2$



### [H2Lib](http://www.h2lib.org/) Steffen Boerm, Knut Reimer, Dirk Boysen, Sven Christophersen, Nadine Albrecht, and Jens Burmeister.  (University of Kiel)

- Open source

- Hierarchical format: $\mathcal{H}$ and $\mathcal{H}^2$



## C++



### [HLIBpro](http://www.hlibpro.com) Ronald Kriemann (Leipzig, Max Planck Institute)

- Binary files only, distributed memory implementation on MPI, on shared memory based on TBB

- Hierarchical format: $\mathcal{H}$ and $\mathcal{H}^2$



### [AHMED](https://github.com/xantares/ahmed) Mario Bebendorf and Sergej Rjasanow (University of Bonn) 

- Source code available through online license agreement.

- Hierarchical format: $\mathcal{H}$



### [BBFMM3D](https://github.com/ruoxi-wang/BBFMM3D) W. Fong, and E. Darve (Stanford University)

- Black-box fast multipole method for general kernels. The FMM is based on Chebyshev and Fourier interpolation methods.



### [BEM++](https://github.com/bempp/bempp) W. Smigaj, S. Arridge, T. Betcke, J. Phillips, M. Schweiger (University College London)

- Boundary Integral Problems with BEM++, accelerated by $\mathcal{H}$-Matrices



### [DMHM](https://github.com/YingzhouLi/dmhm) Jack Poulson and Ryan Li (Stanford University and Georgia Tech) 

- Open source

- Hierarchical format: $\mathcal{H}$



### [STRUMPACK](http://portal.nersc.gov/project/sparse/strumpack/) X. Sherry Li, Pieter Ghysels, Gustavo Chávez, Yang Liu (Lawrence Berkeley National Laboratory)

- Open source

- Hierarchical format: HSS, HOLDR, BLR 



### [Dense_HODLR](https://github.com/amiraa127/Dense_HODLR) Amirhossein Aminfar (Stanford University)

- Open source

- Hierarchical format: HODLR



### [Structured CHOLMOD](https://github.com/jeffchadwick/rank_structured_cholesky/tree/master/src) David Bindel (Cornell University)

- Open source



### [LoRaSp](https://bitbucket.org/hadip/lorasp) Hadi Pouransari and Eric Darve (Stanford University)

- Hierarchical format: $\mathcal{H}^2$

- A revised version of LORASP with additional options and a more modular software design



### [RLCM](https://github.com/jiechenjiechen/RLCM) Jie Chen (IBM)

- linear complexity assembly

- sub-linear complexity solves: $O(n)$ many solves in $O(n \log(n))$ complexity



## CUDA

### [hmglib](https://github.com/zaspel/hmglib) Peter Zaspel (University of Basel)

- Open source

- Hierarchical format: $\mathcal{H}$



## Matlab

### [Misc](http://amath.colorado.edu/faculty/martinss/2014_CBMS/codes.html) Per-Gunnar Martinsson (University of Colorado Boulder) 

- Various scripts, Randomized SVD, Interpolative decomposition, Multi-frontal solvers.

- Hierarchical format: S, HSS



### [HSS](http://www.math.purdue.edu/~xiaj/) 	Jianlin Xia (Purdue University)

- Hierarchically SemiSeparable package

- Hierarchical format: HSS



### [RSVDPACK](https://github.com/sergeyvoronin/LowRankSVDCodes) Sergey Voronin and Per-Gunnar Martinsson (University of Colorado Boulder) 

- Randomized SVD on GPU

- C and Matlab codes



### [HMat](https://github.com/YingzhouLi/HMat) Haizhao Yang and Yingzhou Li (Duke University and Stanford University)

- Hierarchical Matrices in Julia and Matlab 

- Matlab library for many types of structured matrices



## Fortran

### [SSS_Toeplitz](http://www.math.purdue.edu/~xiaj/frameright.html) Jianlin Xia and J. Zhu (Purdue University) 

- Superfast SSS Toeplitz solver

- Hierarchical format: HSS



### [HACApK](https://github.com/hoshino-UTokyo/hacapk-gpu) Akihiro Ida (The University of Tokyo) 

- Lattice H-matrices

- Hierarchical format: $\mathcal{H}$



## Python

### [H2Tools](https://bitbucket.org/muxas/h2tools) Alexander Mikhalev (KAUST / Russian Academy of Sciences) 

- Open source

- Hierarchical format: $\mathcal{H}^2$



## Julia

### [KernelMatrices.jl](https://bitbucket.org/cgeoga/kernelmatrices.jl.git) Chris Geoga (Argonne National Laboratory)

- HODLR matrices with ACA or Nystrom approximation for off-diagonal blocks

- First and second derivatives of kernel matrices that are continuous with respect to kernel parameters



### [HssMatrices.jl](https://github.com/bonevbs/HssMatrices.jl) Boris Bonev (EPFL)

- library for HSS matrices in Julia

- various compression algorithms, fast solvers and multiplication, as well as visualization tools



### [HMatrices.jl](https://github.com/WaveProp/HMatrices.jl) Luiz M. Faria (INRIA)

- $\mathcal{H}$ hierarchical format with support for $\mathcal{H}$-LU factorization

- Focus on applications to boundary integral equation methods



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## Woud you like to add a new library or update a link?

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