Failure computing the SVD of symmetric complex matrices

[apkille]

MWE originally posted in Slack:

julia> M = Symmetric(rand(ComplexF64, 2, 2))
2×2 Symmetric{ComplexF64, Matrix{ComplexF64}}:
 0.477745+0.35744im   0.303887+0.416338im
 0.303887+0.416338im  0.463124+0.958195im

julia> svd(M)
ERROR: MethodError: no method matching svd!(::Symmetric{ComplexF64, Matrix{ComplexF64}}; full::Bool, alg::LinearAlgebra.DivideAndConquer)
The function `svd!` exists, but no method is defined for this combination of argument types.

Closest candidates are:
  svd!(::Bidiagonal{var"#s4971", V} where {var"#s4971"<:Union{Float32, Float64}, V<:AbstractVector{var"#s4971"}}; full) got unsupported keyword argument "alg"
   @ LinearAlgebra ~/.julia/juliaup/julia-1.11.1+0.aarch64.apple.darwin14/share/julia/stdlib/v1.11/LinearAlgebra/src/bidiag.jl:254
  svd!(::StridedMatrix{T}, ::StridedMatrix{T}) where T<:Union{Float32, Float64, ComplexF64, ComplexF32} got unsupported keyword arguments "full", "alg"
   @ LinearAlgebra ~/.julia/juliaup/julia-1.11.1+0.aarch64.apple.darwin14/share/julia/stdlib/v1.11/LinearAlgebra/src/svd.jl:395
  svd!(::StridedVector{T}; full, alg) where T<:Union{Float32, Float64, ComplexF64, ComplexF32}
   @ LinearAlgebra ~/.julia/juliaup/julia-1.11.1+0.aarch64.apple.darwin14/share/julia/stdlib/v1.11/LinearAlgebra/src/svd.jl:109
  ...

Stacktrace:
 [1] svd(A::Symmetric{ComplexF64, Matrix{ComplexF64}}; full::Bool, alg::LinearAlgebra.DivideAndConquer)
   @ LinearAlgebra ~/.julia/juliaup/julia-1.11.1+0.aarch64.apple.darwin14/share/julia/stdlib/v1.11/LinearAlgebra/src/svd.jl:179
 [2] svd(A::Symmetric{ComplexF64, Matrix{ComplexF64}})
   @ LinearAlgebra ~/.julia/juliaup/julia-1.11.1+0.aarch64.apple.darwin14/share/julia/stdlib/v1.11/LinearAlgebra/src/svd.jl:178
 [3] top-level scope
   @ REPL[17]:1
  svd!(::StridedVector{T}; full, alg) where T<:Union{Float32, Float64, ComplexF64, ComplexF32}
   @ LinearAlgebra ~/.julia/juliaup/julia-1.11.1+0.aarch64.apple.darwin14/share/julia/stdlib/v1.11/LinearAlgebra/src/svd.jl:109
  ...

Stacktrace:
 [1] svd(A::Symmetric{ComplexF64, Matrix{ComplexF64}}; full::Bool, alg::LinearAlgebra.DivideAndConquer)
   @ LinearAlgebra ~/.julia/juliaup/julia-1.11.1+0.aarch64.apple.darwin14/share/julia/stdlib/v1.11/LinearAlgebra/src/svd.jl:179
 [2] svd(A::Symmetric{ComplexF64, Matrix{ComplexF64}})
   @ LinearAlgebra ~/.julia/juliaup/julia-1.11.1+0.aarch64.apple.darwin14/share/julia/stdlib/v1.11/LinearAlgebra/src/svd.jl:178
 [3] top-level scope
   @ REPL[13]:1

[dkarrasch]

This has been fixed by JuliaLang/julia#55348 on master, so I marked it for backport. Should be fixed in the next release, both on v1.10 and v1.11.