#+STARTUP: inlineimages
- Conjugates.jl
Conjugates.jl is a simple little utility for doing algebraic
operations between an object and its 'conjugate', either Hermitian
conjugate or transpose. Conjugates.jl exports hc, standing for
Hermitian conjugate and tp, standing for transpose which act like algebraic objects
#+BEGIN_SRC julia julia> using Conjugates
julia> (1 + im) + hc 2
julia> randn(ComplexF64, 3, 3) + hc 3×3 Hermitian{Complex{Float64},Array{Complex{Float64},2}}: 0.86551+0.0im 1.38105+0.506667im -0.761315-0.211322im 1.38105-0.506667im 0.826828+0.0im -0.764402-0.579842im -0.761315+0.211322im -0.764402+0.579842im -0.629772+0.0im
julia> randn(ComplexF64, 3, 3) - hc 3×3 Array{Complex{Float64},2}: 0.0-2.32902im 1.0509+0.968614im 0.899756+1.20646im -1.0509+0.968614im 0.0+0.235916im -0.554544+0.872074im -0.899756+1.20646im 0.554544+0.872074im 0.0+1.15158im
julia> randn(ComplexF64, 3, 3) * tp 3×3 Symmetric{Complex{Float64},Array{Complex{Float64},2}}: 2.43339+0.0im -1.48393-0.247791im 0.0867097+0.53651im -1.48393-0.247791im 1.38745+0.0im 0.0606936-0.470711im 0.0867097+0.53651im 0.0606936-0.470711im 2.14239+0.0im #+END_SRC
[[file:assets/meme.png]]
- Meme credit to Eric Hanson on the [[https://julialang.zulipchat.com][Julia Zulip]]