PEPit

Contents:

  • Welcome to PEPit’s documentation!
  • Quick start guide
  • API and modules
    • Main modules
    • Functions classes
      • Functions
      • Operators
    • Interpolators
    • Primitive steps
    • Tools
    • Wrappers
  • Examples
  • Tutorials
  • What’s new in PEPit
  • Contributing
PEPit
  • API and modules
  • Functions classes
  • View page source

Functions classes

Contents:

  • Functions
    • Convex
    • Strongly convex
    • Smooth
    • Convex and smooth
    • Convex and quadratically upper bounded
    • Strongly convex and smooth
    • Convex and Lipschitz continuous
    • Smooth convex and Lipschitz continuous
    • Convex indicator
    • Convex support functions
    • Restricted secant inequality and error bound
    • Convex and smooth by block (cheap version)
    • Convex and smooth by block (expensive version)
    • Strongly convex and smooth quadratic
    • Smooth function satisfying quadratic Lojasiewicz inequality (cheap version)
    • Smooth function satisfying quadratic Lojasiewicz inequality (expensive version)
  • Operators
    • Monotone
    • Strongly monotone
    • Lipschitz continuous
    • Nonexpansive
    • Strongly monotone and Lipschitz continuous (cheap version)
    • Strongly monotone and Lipschitz continuous (expensive version)
    • Cocoercive
    • Cocoercive and strongly monotone (cheap version)
    • Cocoercive and strongly monotone (expensive version)
    • Negatively comonotone
    • Linear Operator
    • Skew Symmetric Linear Operator
    • Symmetric Linear Operator
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