https://github.com/cvanaret/symmetricblockmatrix

Form symmetric block matrices and condense them (eliminating blocks) at compile time using Schur complements. The goal is to manipulate KKT/augmented/saddle-point systems symbolically to obtain equivalent systems (typically: unsymmetric, symmetrized, and normal equations) that can be tackled by various numerical solvers

https://github.com/cvanaret/symmetricblockmatrix

Science Score: 13.0%

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Keywords

compile-time compile-time-meta-programming cpp cpp17 gaussian-elimination kkt-system linear-algebra linear-systems linear-systems-equations saddle-point-system schur-complement symbolic-computation template-metaprogramming
Last synced: 5 months ago · JSON representation

Repository

Form symmetric block matrices and condense them (eliminating blocks) at compile time using Schur complements. The goal is to manipulate KKT/augmented/saddle-point systems symbolically to obtain equivalent systems (typically: unsymmetric, symmetrized, and normal equations) that can be tackled by various numerical solvers

Basic Info
  • Host: GitHub
  • Owner: cvanaret
  • License: mit
  • Language: C++
  • Default Branch: main
  • Homepage:
  • Size: 7.81 KB
Statistics
  • Stars: 4
  • Watchers: 1
  • Forks: 0
  • Open Issues: 0
  • Releases: 0
Topics
compile-time compile-time-meta-programming cpp cpp17 gaussian-elimination kkt-system linear-algebra linear-systems linear-systems-equations saddle-point-system schur-complement symbolic-computation template-metaprogramming
Created over 1 year ago · Last pushed over 1 year ago
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Readme License

README.md

SymmetricBlockMatrix

This is a C++ attempt at forming symmetric bloc matrices and condensing them at compile time using Schur complements. By condensation, we mean eliminating certain row blocks and substituting in the other block equations.

The goal is to manipulate KKT/augmented/saddle-point systems symbolically to obtain equivalent systems (typically: unsymmetric, symmetrized, and normal equations) that can be tackled by various numerical solvers.

An $n \times n$ symmetric block matrix is represented as a sequence of blocks in the upper triangular part of the matrix:
A_{11} A_{12} ... A_{1n} A_{22} ... A_{2n} ... A_{nn}

Contributions are welcome!

Owner

  • Name: Dr. Charlie Vanaret
  • Login: cvanaret
  • Kind: user
  • Location: Berlin, Germany
  • Company: Zuse-Institut Berlin

Researcher in nonlinear optimization, Lead developer of the modular open-source Uno (Unifying Nonlinear Optimization) solver

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Last synced: 7 months ago

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  • Total Commits: 8
  • Total Committers: 1
  • Avg Commits per committer: 8.0
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  • Commits: 8
  • Committers: 1
  • Avg Commits per committer: 8.0
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Charlie Vanaret v****t@z****e 8
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zib.de: 1

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Last synced: 11 months ago

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