julia

27b31d18 - Reroute algebraic functions for `Symmetric`/`Hermitian` through triangular (#52942)

Reroute algebraic functions for `Symmetric`/`Hermitian` through triangular (#52942) This ensures that only the triangular indices are accessed for strided parent matrices. Fix #52895 ```julia julia> M = Matrix{Complex{BigFloat}}(undef, 2, 2); julia> M[1,1] = M[2,2] = M[1,2] = 2; julia> H = Hermitian(M) 2×2 Hermitian{Complex{BigFloat}, Matrix{Complex{BigFloat}}}: 2.0+0.0im 2.0+0.0im 2.0-0.0im 2.0+0.0im julia> H + H # works after this 2×2 Hermitian{Complex{BigFloat}, Matrix{Complex{BigFloat}}}: 4.0+0.0im 4.0+0.0im 4.0-0.0im 4.0+0.0im ``` This also provides a speed-up in several common cases (allocations mentioned only when they differ): ```julia julia> H = Hermitian(rand(ComplexF64,1000,1000)); julia> H2 = Hermitian(rand(ComplexF64,1000,1000),:L); ``` | Operation | master | PR | | ---- | ---- | ---- | |`-H` |2.247 ms | 1.384 ms | | `real(H)` |1.544 ms |1.175 ms | |`H + H` |2.288 ms |1.978 ms | |`H + H2` |5.139 ms |3.287 ms | | `isdiag(H)` |23.042 ns (1 allocation: 16 bytes) |16.778 ns (0 allocations: 0 bytes) | I'm not entirely certain why `isdiag(H)` allocates on master, as union splitting should handle this automatically, but manually splitting the union appears to help.