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reversemccormick.jl's Issues

Add reverse McCormick relaxations with MC & Number

  • div_rev(y::MC, x::MC, c::NumberNotMC)
  • div_rev(y::MC, c::NumberNotMC, x::MC)
  • mul_rev(y::MC, x::MC, c::NumberNotMC)
  • mul_rev(y::MC, c::NumberNotMC, x::MC)
  • min_rev(y::MC, x::MC, c::NumberNotMC)
  • min_rev(y::MC, c::NumberNotMC, x::MC)
  • max_rev(y::MC, x::MC, c::NumberNotMC)
  • max_rev(y::MC, c::NumberNotMC, x::MC)
  • pow_rev(y::MC, x::MC, c::NumberNotMC)

Rounding Safe Reverse McCormick Relaxations

Our basic MC objects are not numerically safe. As a consequence, the reverse McCormick relaxations can produce erroneous results. This was a noted issue in the original Wechsung paper. A solution to this consists of defining a corrected rounded relaxation types NSSafe, MVSafe, DiffSafe in McCormick then using these to define backwards passes (that said, this is a lot of work, so we'll need to kick this down the rado to McCormick 2.0 or 3.0).

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