Skip to content

Commit f9769fa

Browse files
committed
Fix docstring
1 parent 115778d commit f9769fa

File tree

1 file changed

+2
-27
lines changed

1 file changed

+2
-27
lines changed

src/Bridges/Constraint/bridges/HermitianToComplexSymmetricBridge.jl

Lines changed: 2 additions & 27 deletions
Original file line numberDiff line numberDiff line change
@@ -27,33 +27,8 @@ See also [`MOI.Bridges.Constraint.HermitianToSymmetricPSDBridge`](@ref).
2727
2828
* `F` in [`MOI.PositiveSemidefiniteConeTriangle`](@ref)
2929
30-
## Reformulation
31-
32-
The reformulation is best described by example.
33-
34-
The Hermitian matrix:
35-
```math
36-
\\begin{bmatrix}
37-
x_{11} & x_{12} + y_{12}im & x_{13} + y_{13}im\\\\
38-
x_{12} - y_{12}im & x_{22} & x_{23} + y_{23}im\\\\
39-
x_{13} - y_{13}im & x_{23} - y_{23}im & x_{33}
40-
\\end{bmatrix}
41-
```
42-
is positive semidefinite if and only if the symmetric matrix:
43-
```math
44-
\\begin{bmatrix}
45-
x_{11} & x_{12} & x_{13} & 0 & y_{12} & y_{13} \\\\
46-
& x_{22} & x_{23} & -y_{12} & 0 & y_{23} \\\\
47-
& & x_{33} & -y_{13} & -y_{23} & 0 \\\\
48-
& & & x_{11} & x_{12} & x_{13} \\\\
49-
& & & & x_{22} & x_{23} \\\\
50-
& & & & & x_{33}
51-
\\end{bmatrix}
52-
```
53-
is positive semidefinite.
54-
55-
The bridge achieves this reformulation by constraining the above matrix to
56-
belong to the `MOI.PositiveSemidefiniteConeTriangle(6)`.
30+
Note that if `G` is `MOI.VectorAffineFunction{T}` then `F` will be
31+
`MOI.VectorAffineFunction{Complex{T}}`
5732
"""
5833
struct HermitianToComplexSymmetricBridge{T,F,G} <: SetMapBridge{
5934
T,

0 commit comments

Comments
 (0)