Specialize adding/subtracting mixed Upper/LowerTriangular #56149
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jishnub
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linear algebra
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The broken tests here would be fixed by #55312, so one of these should be rebased after the other is merged. |
dkarrasch
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Oct 17, 2024
dkarrasch
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Oct 17, 2024
Co-authored-by: Daniel Karrasch <daniel.karrasch@posteo.de>
jishnub
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Oct 21, 2024
KristofferC
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Fixes https://github.com/JuliaLang/julia/issues/56134 After this, ```julia julia> using LinearAlgebra julia> A = hermitianpart(rand(4, 4)) 4×4 Hermitian{Float64, Matrix{Float64}}: 0.387617 0.277226 0.67629 0.60678 0.277226 0.894101 0.388416 0.489141 0.67629 0.388416 0.100907 0.619955 0.60678 0.489141 0.619955 0.452605 julia> B = UpperTriangular(A) 4×4 UpperTriangular{Float64, Hermitian{Float64, Matrix{Float64}}}: 0.387617 0.277226 0.67629 0.60678 ⋅ 0.894101 0.388416 0.489141 ⋅ ⋅ 0.100907 0.619955 ⋅ ⋅ ⋅ 0.452605 julia> B - B' 4×4 Matrix{Float64}: 0.0 0.277226 0.67629 0.60678 -0.277226 0.0 0.388416 0.489141 -0.67629 -0.388416 0.0 0.619955 -0.60678 -0.489141 -0.619955 0.0 ``` This preserves the band structure of the parent, if any: ```julia julia> U = UpperTriangular(Diagonal(ones(4))) 4×4 UpperTriangular{Float64, Diagonal{Float64, Vector{Float64}}}: 1.0 0.0 0.0 0.0 ⋅ 1.0 0.0 0.0 ⋅ ⋅ 1.0 0.0 ⋅ ⋅ ⋅ 1.0 julia> U - U' 4×4 Diagonal{Float64, Vector{Float64}}: 0.0 ⋅ ⋅ ⋅ ⋅ 0.0 ⋅ ⋅ ⋅ ⋅ 0.0 ⋅ ⋅ ⋅ ⋅ 0.0 ``` This doesn't fully work with partly initialized matrices, and would need #55312 for that. The abstract triangular methods now construct matrices using `similar(parent(U), size(U))` so that the destinations are fully mutable. ```julia julia> @invoke B::LinearAlgebra.AbstractTriangular - B'::LinearAlgebra.AbstractTriangular 4×4 Matrix{Float64}: 0.0 0.277226 0.67629 0.60678 -0.277226 0.0 0.388416 0.489141 -0.67629 -0.388416 0.0 0.619955 -0.60678 -0.489141 -0.619955 0.0 ``` --------- Co-authored-by: Daniel Karrasch <daniel.karrasch@posteo.de>
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Backported PRs: - [x] #55886 <!-- irrationals: restrict assume effects annotations to known types --> - [x] #55867 <!-- update `hash` doc string: `widen` not required any more --> - [x] #56084 <!-- slightly improve inference in precompilation code --> - [x] #56088 <!-- make `Base.ANSIIterator` have a concrete field --> - [x] #54093 <!-- Fix `JULIA_CPU_TARGET` being propagated to workers precompiling stdlib pkgimages --> - [x] #56165 <!-- Fix markdown list in installation.md --> - [x] #56148 <!-- Make loading work when stdlib deps are missing in the manifest --> - [x] #56174 <!-- Fix implicit `convert(String, ...)` in several places --> - [x] #56159 <!-- Add invalidation barriers for `displaysize` and `implicit_typeinfo` --> - [x] #56089 <!-- Call `MulAddMul` instead of multiplication in _generic_matmatmul! --> - [x] #56195 <!-- Include default user depot when JULIA_DEPOT_PATH has leading empty entry --> - [x] #56215 <!-- [REPL] fix lock ordering mistake in load_pkg --> - [x] #56251 <!-- REPL: run repl hint generation for modeswitch chars when not switching --> - [x] #56092 <!-- stream: fix reading LibuvStream into array --> - [x] #55870 <!-- fix infinite recursion in `promote_type` for `Irrational` --> - [x] #56227 <!-- Do not call `rand` during sysimage precompilation --> - [x] #55741 <!-- Change annotations to use a NamedTuple --> - [x] #56149 <!-- Specialize adding/subtracting mixed Upper/LowerTriangular --> - [x] #56214 <!-- fix precompile process flags --> - [x] #54471 - [x] #55622 - [x] #55704 - [x] #55764
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Fixes JuliaLang/LinearAlgebra.jl#1099
After this,
This preserves the band structure of the parent, if any:
This doesn't fully work with partly initialized matrices, and would need #55312 for that.
The abstract triangular methods now construct matrices using
similar(parent(U), size(U))so that the destinations are fully mutable.