ExpCone-class function

The ExpCone class.

The ExpCone class.

This class represents a reformulated exponential cone constraint operating elementwise on a,b,ca, b, c. class

ExpCone(x, y, z, id = NA_integer_)

## S4 method for signature 'ExpCone'
as.character(x)

## S4 method for signature 'ExpCone'
residual(object)

## S4 method for signature 'ExpCone'
size(object)

## S4 method for signature 'ExpCone'
num_cones(object)

## S4 method for signature 'ExpCone'
cone_sizes(object)

## S4 method for signature 'ExpCone'
is_dcp(object)

## S4 method for signature 'ExpCone'
is_dgp(object)

## S4 method for signature 'ExpCone'
canonicalize(object)

Arguments

  • x: The variable xx in the exponential cone.
  • y: The variable yy in the exponential cone.
  • z: The variable zz in the exponential cone.
  • id: (Optional) A numeric value representing the constraint ID.
  • object: A ExpCone object.

Details

Original cone:

K={(x,y,z)∣y>0,yex/y≤z}∪{(x,y,z)∣x≤0,y=0,z≥0} K = \{(x,y,z) | y > 0, ye^{x/y} \leq z\} \cup \{(x,y,z) | x \leq 0, y = 0, z \geq 0\}

Reformulated cone:

K={(x,y,z)∣y,z>0,ylog⁡(y)+x≤ylog⁡(z)}∪{(x,y,z)∣x≤0,y=0,z≥0} K = \{(x,y,z) | y, z > 0, y\log(y) + x \leq y\log(z)\} \cup \{(x,y,z) | x \leq 0, y = 0, z \geq 0\}

Methods (by generic)

  • residual(ExpCone): The size of the x argument.
  • size(ExpCone): The number of entries in the combined cones.
  • num_cones(ExpCone): The number of elementwise cones.
  • cone_sizes(ExpCone): The dimensions of the exponential cones.
  • is_dcp(ExpCone): An exponential constraint is DCP if each argument is affine.
  • is_dgp(ExpCone): Is the constraint DGP?
  • canonicalize(ExpCone): Canonicalizes by converting expressions to LinOps.

Slots

  • x: The variable xx in the exponential cone.
  • y: The variable yy in the exponential cone.
  • z: The variable zz in the exponential cone.
CVXR packageRead PDF manual
  • Maintainer: Anqi Fu
  • License: Apache License 2.0 | file LICENSE
  • Last published: 2024-11-07

Useful links