Recover 1.7's behavior (#44736)

Fix #44734.

Author: N5N3

stdlib/LinearAlgebra/src/blas.jl

@@ -489,7 +489,9 @@ for (fname, elty) in ((:daxpy_,:Float64),
         end
     end
 end
-function axpy!(alpha::Number, x::AbstractArray{T}, y::AbstractArray{T}) where T<:BlasFloat
+
+#TODO: replace with `x::AbstractArray{T}` once we separate `BLAS.axpy!` and `LinearAlgebra.axpy!`
+function axpy!(alpha::Number, x::Union{DenseArray{T},StridedVector{T}}, y::Union{DenseArray{T},StridedVector{T}}) where T<:BlasFloat
     if length(x) != length(y)
         throw(DimensionMismatch(lazy"x has length $(length(x)), but y has length $(length(y))"))
     end
@@ -561,7 +563,8 @@ for (fname, elty) in ((:daxpby_,:Float64), (:saxpby_,:Float32),
     end
 end
 
-function axpby!(alpha::Number, x::AbstractArray{T}, beta::Number, y::AbstractArray{T}) where T<:BlasFloat
+#TODO: replace with `x::AbstractArray{T}` once we separate `BLAS.axpby!` and `LinearAlgebra.axpby!`
+function axpby!(alpha::Number, x::Union{DenseArray{T},AbstractVector{T}}, beta::Number, y::Union{DenseArray{T},AbstractVector{T}},) where T<:BlasFloat
     require_one_based_indexing(x, y)
     if length(x) != length(y)
         throw(DimensionMismatch(lazy"x has length $(length(x)), but y has length $(length(y))"))

stdlib/LinearAlgebra/test/generic.jl

@@ -295,6 +295,14 @@ end
     @test LinearAlgebra.axpy!(α, x, rx, y, ry) == [1 1 1 1; 11 1 1 26]
 end
 
+@testset "LinearAlgebra.axp(b)y! for non strides input" begin
+    a = rand(5, 5)
+    @test LinearAlgebra.axpby!(1, Hermitian(a), 1, zeros(size(a))) == Hermitian(a)
+    @test_broken LinearAlgebra.axpby!(1, 1.:5, 1, zeros(5)) == 1.:5
+    @test LinearAlgebra.axpy!(1, Hermitian(a), zeros(size(a))) == Hermitian(a)
+    @test LinearAlgebra.axpy!(1, 1.:5, zeros(5)) == 1.:5
+end
+
 @testset "norm and normalize!" begin
     vr = [3.0, 4.0]
     for Tr in (Float32, Float64)