functions.rst

Functions

• Convex
• Strongly convex
• Smooth
• Convex and smooth
• Convex and quadratically upper bounded
• Strongly convex and smooth
• Convex and Lipschitz continuous
• Convex indicator
• Convex support functions
• Restricted secant inequality and error bound

Convex

.. autoclass:: PEPit.functions.ConvexFunction
   :members:
   :show-inheritance:

Strongly convex

.. autoclass:: PEPit.functions.StronglyConvexFunction
   :members:
   :show-inheritance:

Smooth

.. autoclass:: PEPit.functions.SmoothFunction
   :members:
   :show-inheritance:

Convex and smooth

.. autoclass:: PEPit.functions.SmoothConvexFunction
   :members:
   :show-inheritance:

Convex and quadratically upper bounded

.. autoclass:: PEPit.functions.ConvexQGFunction
   :members:
   :show-inheritance:

Strongly convex and smooth

.. autoclass:: PEPit.functions.SmoothStronglyConvexFunction
   :members:
   :show-inheritance:

Convex and Lipschitz continuous

.. autoclass:: PEPit.functions.ConvexLipschitzFunction
   :members:
   :show-inheritance:

Convex indicator

.. autoclass:: PEPit.functions.ConvexIndicatorFunction
   :members:
   :show-inheritance:

Convex support functions

.. autoclass:: PEPit.functions.ConvexSupportFunction
   :members:
   :show-inheritance:

Restricted secant inequality and error bound

.. autoclass:: PEPit.functions.RsiEbFunction
   :members:
   :show-inheritance: