𝓗𝖫𝖨𝖡𝗉𝗋𝗈

𝓗𝖫𝖨𝖡𝗉𝗋𝗈 is a C++ library implementing 𝓗-matrix arithmetic and other algorithms in the context of 𝓗-matrices, e.g. geometrical and algebraic clustering, visualisation, BEM discretisation. The focus of the implemention in 𝓗𝖫𝖨𝖡𝗉𝗋𝗈 is on robust algorithms on parallel computers. Here robustness is meant to apply to the algorithms itself as well as on the implementation.

𝓗𝖫𝖨𝖡𝗉𝗋𝗈 supports shared and distributed memory architectures. On shared memory systems, parallelisation is implemented using Threading Building Blocks. On distributed memory systems, the message passing interface (MPI) is used to provide the communication layer.

A good starting point for programming with 𝓗𝖫𝖨𝖡𝗉𝗋𝗈 is the tutorial, which explains many basic features step by step. Complete Examples for an integral equation, a sparse matrix and the BEM kernel of 𝓗𝖫𝖨𝖡𝗉𝗋𝗈 are also available.

Table of Contents

• Installation
• Changes
• Examples
  • Solving an Integral Equation
  • Solving a Sparse Equation System
  • Boundary Element Methods
    • Acoustic Scattering
  • Many Right Hand Sides
  • Spectrum of Graph Laplacian
  • Block Matrix Assembly
• Tutorial
  • Initialisation and Finalisation
  • Clustering
    • Geometrical Clustering
    • Algebraic Clustering
    • Block Cluster Tree
  • Matrix Construction
    • Dense Matrices
    • Sparse Matrices
  • Algebra
    • Basic Matrix Algebra
    • Matrix Factorisation
  • BLAS/LAPACK Interface
    • Ranges
    • Vectors
    • Matrices
  • Input/Output
    • Storage
    • Visualisation
• C Bindings
  • Examples
    • Solving an Integral Equation
  • C Bindings