The ExpCone class.
This class represents a reformulated exponential cone constraint operating elementwise on a, b, c.
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)
x |
The variable x in the exponential cone. |
y |
The variable y in the exponential cone. |
z |
The variable z in the exponential cone. |
id |
(Optional) A numeric value representing the constraint ID. |
object |
A ExpCone object. |
Original cone:
K = \{(x,y,z) | y > 0, ye^{x/y} ≤q z\} \cup \{(x,y,z) | x ≤q 0, y = 0, z ≥q 0\}
Reformulated cone:
K = \{(x,y,z) | y, z > 0, y\log(y) + x ≤q y\log(z)\} \cup \{(x,y,z) | x ≤q 0, y = 0, z ≥q 0\}
residual: The size of the x argument.
size: The number of entries in the combined cones.
num_cones: The number of elementwise cones.
cone_sizes: The dimensions of the exponential cones.
is_dcp: An exponential constraint is DCP if each argument is affine.
is_dgp: Is the constraint DGP?
canonicalize: Canonicalizes by converting expressions to LinOps.
xThe variable x in the exponential cone.
yThe variable y in the exponential cone.
zThe variable z in the exponential cone.
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