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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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Ellipsoids

Main author: Morgan Louédec

  • Ellipsoid in n-dimensional space (matrix definition)
    • Definition of an Ellipsoid
    • Inclusion of ellipsoids
    • Orthogonal projection of ellipsoids on affine space [1,Section 13]
    • References
  • The Ellipsoid class
    • Class Ellipsoid
    • Linear and nonlinear mappings
    • Projection of the ellipsoids
    • Inclusion tests
    • Degenerated Ellipsoids & singular mappings
    • Stability analysis
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Ellipsoid in n-dimensional space (matrix definition)
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Polygon and ConvexPolygon
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