# linearmap-category: Native, complete, matrix-free linear algebra.

The term *numerical linear algebra* is often used almost
synonymous with *matrix modifications*. However, what's interesting
for most applications are really just *points in some vector space*
and linear mappings between them, not matrices (which represent
points or mappings, but inherently depend on a particular choice
of basis / coordinate system).

This library implements the crucial LA operations like solving linear equations and eigenvalue problems, without requiring that the vectors are represented in some particular basis. Apart from conceptual elegance (only operations that are actually geometrically sensible will typecheck – this is far stronger than just confirming that the dimensions match, as some other libraries do), this also opens up good optimisation possibilities: the vectors can be unboxed, use dedicated sparse compression, possibly carry out the computations on accelerated hardware (GPU etc.). The spaces can even be infinite-dimensional (e.g. function spaces).

The linear algebra algorithms in this package only require the vectors to support fundamental operations like addition, scalar products, double-dual-space coercion and tensor products; none of this requires a basis representation.

Versions | 0.1.0.0, 0.1.0.1, 0.2.0.0, 0.3.0.1, 0.3.2.0, 0.3.4.0, 0.3.5.0 |
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Dependencies | base (>=4.8 && <5), call-stack, constrained-categories (==0.3.*), containers, free-vector-spaces (>=0.1.4 && <0.2), ieee754 (>=0.7 && <0.9), lens, linear, manifolds-core (>=0.4.4 && <0.6), semigroups, tagged, transformers, vector, vector-space (>=0.11 && <0.16) [details] |

License | GPL-3.0-only |

Author | Justus Sagemüller |

Maintainer | (@) sagemueller $ geo.uni-koeln.de |

Revised | Revision 1 made by leftaroundabout at Fri Dec 7 10:55:08 UTC 2018 |

Category | Math |

Home page | https://github.com/leftaroundabout/linearmap-family |

Uploaded | by leftaroundabout at Sun Jul 1 23:23:27 UTC 2018 |

Distributions | NixOS:0.3.5.0 |

Downloads | 1640 total (42 in the last 30 days) |

Rating | (no votes yet) [estimated by rule of succession] |

Your Rating | |

Status | Docs uploaded by user [build log] All reported builds failed as of 2018-07-01 [all 3 reports] |

## Downloads

- linearmap-category-0.3.5.0.tar.gz [browse] (Cabal source package)
- Package description (revised from the package)

Note: This package has metadata revisions in the cabal description newer than included in the tarball. To unpack the package including the revisions, use 'cabal get'.