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Codac documentation
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User manual

  • Installation guide
    • Python installation
    • C++ installation
    • MATLAB installation
  • Intervals
    • The Interval class
  • Linear algebra
    • Reliable inversions of matrices
    • Interval LU decomposition
  • Inclusion functions
    • Analytic inclusion functions
    • Analytic operators
  • Contractors
    • CtcDist
  • Geometry
    • Geometric utilities
    • Segment
    • Polygon and ConvexPolygon
  • Ellipsoids
    • Ellipsoid in n-dimensional space (matrix definition)
    • The Ellipsoid class
  • Visualization
    • The 2D Figure classes
    • 2D drawing functions
    • Styles, colors and color maps
    • The VIBes viewer
    • The IPE editor
    • The 3D Figure class
  • Tools
    • Affine transformation estimation
  • Codac extensions
    • CAPD (rigorous numerics in dynamical systems)
  • See also
    • Performance considerations

Development

  • Information for developers
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Linear algebra

Codac provides a set of functions for the decomposition and inversion of interval matrices. As Codac is based on the Eigen library, some of the provided features adopt the structure of Eigen (same class name or operations) with an interval approach and reliable outputs.

  • Reliable inversions of matrices
    • inverse_enclosure()
    • inverse_correction()
    • infinite_sum_enclosure()
  • Interval LU decomposition
    • codac2::IntvFullPivLU
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Reliable inversions of matrices
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The Interval class
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