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lazybandedmatrices.jl's Issues

`show` and `getindex` for matrix inversion between LowerTriangular and Bidiagonal never completes 

julia> using LazyBandedMatrices, FillArrays, Infinities, LazyArrays, ContinuumArrays

julia> using LazyBandedMatrices: Bidiagonal, LowerTriangular

julia> R = [Vcat(1.0, Zeros(∞)) LowerTriangular(Bidiagonal(Ones(∞), Ones(∞), :L))]; # without the Vcat, we get a method ambiguity bug instead

julia> R′ = Bidiagonal(Ones(∞), Ones(∞), :U);

julia> RR = R′ \ R; # it can be computed apparently, but once you show it..

julia> RR # never ends
\(ℵ₀×ℵ₀ Bidiagonal{Float64, Ones{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}, Ones{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}} with indices OneToInf()×OneToInf(), hcat(vcat(Float64, ℵ₀-element Zeros{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}} with indices OneToInf()) with indices OneToInf(), ℵ₀×ℵ₀ LowerTriangular{Float64, Bidiagonal{Float64, Ones{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}, Ones{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}}} with indices OneToInf()×OneToInf()) with indices OneToInf()×OneToInf()) with indices OneToInf()×OneToInf():
Error showing value of type ApplyMatrix{Float64, typeof(\), Tuple{Bidiagonal{Float64, Ones{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}, Ones{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}}, ApplyArray{Float64, 2, typeof(hcat), Tuple{ApplyArray{Float64, 1, typeof(vcat), Tuple{Float64, Zeros{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}}}, LowerTriangular{Float64, Bidiagonal{Float64, Ones{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}, Ones{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}}}}}}}:
ERROR: InterruptException:
Stacktrace:
  [1] cache_filldata!(::LazyArrays.CachedArray{Float64, 2, Matrix{…}, Zeros{…}}, ::UnitRange{Int64}, ::Base.OneTo{Int64})
    @ LazyArrays C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\cache.jl:222
  [2] resizedata!(::ArrayLayouts.DenseColumnMajor, ::ArrayLayouts.ZerosLayout, ::LazyArrays.CachedArray{…}, ::Int64, ::Int64)
    @ LazyArrays C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\cache.jl:263
  [3] resizedata!
    @ C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\cache.jl:218 [inlined]
  [4] setindex!
    @ C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\cache.jl:82 [inlined]
  [5] Matrix{Float64}(A::Bidiagonal{Float64, Ones{Float64, 1, Tuple{…}}, Ones{Float64, 1, Tuple{…}}})
    @ LazyBandedMatrices C:\Users\User\.julia\packages\LazyBandedMatrices\59umZ\src\bidiag.jl:151
  [6] (Matrix)(A::Bidiagonal{Float64, Ones{Float64, 1, Tuple{…}}, Ones{Float64, 1, Tuple{…}}})
    @ LazyBandedMatrices C:\Users\User\.julia\packages\LazyBandedMatrices\59umZ\src\bidiag.jl:159
  [7] Array(A::Bidiagonal{Float64, Ones{Float64, 1, Tuple{…}}, Ones{Float64, 1, Tuple{…}}})
    @ LazyBandedMatrices C:\Users\User\.julia\packages\LazyBandedMatrices\59umZ\src\bidiag.jl:160
  [8] convert(::Type{Array}, a::Bidiagonal{Float64, Ones{Float64, 1, Tuple{…}}, Ones{Float64, 1, Tuple{…}}})
    @ Base .\array.jl:665
  [9] concretize(L::Bidiagonal{Float64, Ones{Float64, 1, Tuple{…}}, Ones{Float64, 1, Tuple{…}}})
    @ ArrayLayouts C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\ldiv.jl:52
 [10] concretize(L::Ldiv{ArrayLayouts.BidiagonalLayout{…}, LazyArrays.ApplyLayout{…}, Bidiagonal{…}, SubArray{…}})
    @ ArrayLayouts C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\ldiv.jl:53
 [11] _getindex(::Type{…}, L::Ldiv{…}, ::Tuple{…})
    @ ArrayLayouts C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\ldiv.jl:54
 [12] getindex(L::Ldiv{ArrayLayouts.BidiagonalLayout{…}, LazyArrays.ApplyLayout{…}, Bidiagonal{…}, SubArray{…}}, k::Int64)
    @ ArrayLayouts C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\ldiv.jl:51
 [13] getindex
    @ C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\linalg\inv.jl:103 [inlined]
 [14] getindex
    @ C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\lazyapplying.jl:254 [inlined]
 [15] getindex(L::ApplyMatrix{Float64, typeof(\), Tuple{Bidiagonal{…}, ApplyArray{…}}}, k::Int64, j::Int64)
    @ LazyArrays C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\linalg\inv.jl:180
 [16] isassigned(::ApplyMatrix{Float64, typeof(\), Tuple{Bidiagonal{…}, ApplyArray{…}}}, ::Int64, ::Int64)
    @ Base .\multidimensional.jl:1578
 [17] alignment(io::IOContext{…}, X::AbstractVecOrMat, rows::Vector{…}, cols::Vector{…}, cols_if_complete::Int64, cols_otherwise::Int64, sep::Int64, ncols::InfiniteCardinal{…})
    @ Base .\arrayshow.jl:68
 [18] _print_matrix(io::IOContext{…}, X::AbstractVecOrMat, pre::String, sep::String, post::String, hdots::String, vdots::String, ddots::String, hmod::Int64, vmod::Int64, rowsA::InfiniteArrays.InfUnitRange{…}, colsA::InfiniteArrays.InfUnitRange{…})
    @ Base .\arrayshow.jl:207
 [19] print_matrix(io::IOContext{…}, X::ApplyMatrix{…}, pre::String, sep::String, post::String, hdots::String, vdots::String, ddots::String, hmod::Int64, vmod::Int64)
    @ Base .\arrayshow.jl:171
 [20] print_matrix
    @ .\arrayshow.jl:171 [inlined]
 [21] print_array
    @ .\arrayshow.jl:358 [inlined]
 [22] show(io::IOContext{Base.TTY}, ::MIME{Symbol("text/plain")}, X::ApplyMatrix{Float64, typeof(\), Tuple{…}})
    @ Base .\arrayshow.jl:399
 [23] (::REPL.var"#55#56"{REPL.REPLDisplay{REPL.LineEditREPL}, MIME{Symbol("text/plain")}, Base.RefValue{Any}})(io::Any)
    @ REPL C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:273
 [24] with_repl_linfo(f::Any, repl::REPL.LineEditREPL)
    @ REPL C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:569
 [25] display(d::REPL.REPLDisplay, mime::MIME{Symbol("text/plain")}, x::Any)
    @ REPL C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:259
 [26] display
    @ C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:278 [inlined]
 [27] display(x::Any)
    @ Base.Multimedia .\multimedia.jl:340
 [28] #invokelatest#2
    @ .\essentials.jl:892 [inlined]
 [29] invokelatest
    @ .\essentials.jl:889 [inlined]
 [30] print_response(errio::IO, response::Any, show_value::Bool, have_color::Bool, specialdisplay::Union{…})
    @ REPL C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:315
 [31] (::REPL.var"#57#58"{REPL.LineEditREPL, Pair{Any, Bool}, Bool, Bool})(io::Any)
    @ REPL C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:284
 [32] with_repl_linfo(f::Any, repl::REPL.LineEditREPL)
    @ REPL C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:569
 [33] print_response(repl::REPL.AbstractREPL, response::Any, show_value::Bool, have_color::Bool)
    @ REPL C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:282
 [34] (::REPL.var"#do_respond#80"{…})(s::REPL.LineEdit.MIState, buf::Any, ok::Bool)
    @ REPL C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:911
 [35] #invokelatest#2
    @ .\essentials.jl:892 [inlined]
 [36] invokelatest
    @ .\essentials.jl:889 [inlined]
 [37] run_interface(terminal::REPL.Terminals.TextTerminal, m::REPL.LineEdit.ModalInterface, s::REPL.LineEdit.MIState)
    @ REPL.LineEdit C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\LineEdit.jl:2656
 [38] run_frontend(repl::REPL.LineEditREPL, backend::REPL.REPLBackendRef)
    @ REPL C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:1312
 [39] (::REPL.var"#62#68"{REPL.LineEditREPL, REPL.REPLBackendRef})()
    @ REPL C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\REPL\src\REPL.jl:386
Some type information was truncated. Use `show(err)` to see complete types.

julia> RR[1, 1] # also can't access it
ERROR: InterruptException:
Stacktrace:
  [1] cache_filldata!(::LazyArrays.CachedArray{Float64, 2, Matrix{…}, Zeros{…}}, ::UnitRange{Int64}, ::Base.OneTo{Int64})
    @ LazyArrays C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\cache.jl:222
  [2] resizedata!(::ArrayLayouts.DenseColumnMajor, ::ArrayLayouts.ZerosLayout, ::LazyArrays.CachedArray{…}, ::Int64, ::Int64)
    @ LazyArrays C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\cache.jl:263
  [3] resizedata!
    @ C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\cache.jl:218 [inlined]
  [4] setindex!
    @ C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\cache.jl:82 [inlined]
  [5] Matrix{Float64}(A::Bidiagonal{Float64, Ones{Float64, 1, Tuple{…}}, Ones{Float64, 1, Tuple{…}}})
    @ LazyBandedMatrices C:\Users\User\.julia\packages\LazyBandedMatrices\59umZ\src\bidiag.jl:149
  [6] (Matrix)(A::Bidiagonal{Float64, Ones{Float64, 1, Tuple{…}}, Ones{Float64, 1, Tuple{…}}})
    @ LazyBandedMatrices C:\Users\User\.julia\packages\LazyBandedMatrices\59umZ\src\bidiag.jl:159
  [7] Array(A::Bidiagonal{Float64, Ones{Float64, 1, Tuple{…}}, Ones{Float64, 1, Tuple{…}}})
    @ LazyBandedMatrices C:\Users\User\.julia\packages\LazyBandedMatrices\59umZ\src\bidiag.jl:160
  [8] convert(::Type{Array}, a::Bidiagonal{Float64, Ones{Float64, 1, Tuple{…}}, Ones{Float64, 1, Tuple{…}}})
    @ Base .\array.jl:665
  [9] concretize(L::Bidiagonal{Float64, Ones{Float64, 1, Tuple{…}}, Ones{Float64, 1, Tuple{…}}})
    @ ArrayLayouts C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\ldiv.jl:52
 [10] concretize(L::Ldiv{ArrayLayouts.BidiagonalLayout{…}, LazyArrays.ApplyLayout{…}, Bidiagonal{…}, SubArray{…}})
    @ ArrayLayouts C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\ldiv.jl:53
 [11] _getindex(::Type{…}, L::Ldiv{…}, ::Tuple{…})
    @ ArrayLayouts C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\ldiv.jl:54
 [12] getindex(L::Ldiv{ArrayLayouts.BidiagonalLayout{…}, LazyArrays.ApplyLayout{…}, Bidiagonal{…}, SubArray{…}}, k::Int64)
    @ ArrayLayouts C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\ldiv.jl:51
 [13] getindex
    @ C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\linalg\inv.jl:103 [inlined]
 [14] getindex
    @ C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\lazyapplying.jl:254 [inlined]
 [15] getindex(L::ApplyMatrix{Float64, typeof(\), Tuple{Bidiagonal{…}, ApplyArray{…}}}, k::Int64, j::Int64)
    @ LazyArrays C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\linalg\inv.jl:180
 [16] top-level scope
    @ REPL[44]:1
Some type information was truncated. Use `show(err)` to see complete types.

Move most of this packages to extensions

  1. lazy + banded => an extension in LazyArrays.jl
  2. lazy + block => an extension in LazyArrays.jl
  3. lazy + block banded => an extension in LazyArrays.jl or BlockBandedMatrices.jl

This package would then just have new types.

I'm inclined to make the minimum version v1.9 in this case.

Method ambiguity for broadcast involving `view` of a `SymTridiagonal` 

julia> using LazyBandedMatrices, LinearAlgebra, InfiniteArrays

julia> X = LazyBandedMatrices.SymTridiagonal(Diagonal(1:∞));

julia> Xv = X[2:end, 2:end];

julia> 1 * Xv
ERROR: MethodError: Base.Broadcast.BroadcastStyle(::Type{SubArray{Int64, 2, LazyBandedMatrices.SymTridiagonal{Int64, InfiniteArrays.InfUnitRange{Int64}, LazyArrays.CachedArray{Int64, 1, Vector{Int64}, Zeros{Int64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}}}, Tuple{InfiniteArrays.InfUnitRange{Int64}, InfiniteArrays.InfUnitRange{Int64}}, false}}) is ambiguous.

Candidates:
  Base.Broadcast.BroadcastStyle(::Type{<:SubArray{<:Any, 2, <:Any, <:Tuple{var"#s2", var"#s1"} where {var"#s2"<:(Union{Base.Slice{InfiniteArrays.OneToInf{T}}, InfiniteArrays.AbstractInfUnitRange{T}, InfiniteArrays.InfStepRange{T}} where T<:Integer), var"#s1"<:(Union{Base.Slice{InfiniteArrays.OneToInf{T}}, InfiniteArrays.AbstractInfUnitRange{T}, InfiniteArrays.InfStepRange{T}} where T<:Integer)}}})
    @ InfiniteArrays C:\Users\User\.julia\packages\InfiniteArrays\yaXl7\src\infrange.jl:489
  Base.Broadcast.BroadcastStyle(::Type{<:SubArray{<:Any, 2, <:BandedMatrices.AbstractBandedMatrix, <:Tuple{AbstractUnitRange{Int64}, AbstractUnitRange{Int64}}}})
    @ BandedMatrices C:\Users\User\.julia\packages\BandedMatrices\dec3g\src\generic\broadcast.jl:40

Possible fix, define
  Base.Broadcast.BroadcastStyle(::Type{<:SubArray{<:Any, 2, <:BandedMatrices.AbstractBandedMatrix, <:Tuple{…} where {…}}})

Stacktrace:
 [1] combine_styles(c::SubArray{Int64, 2, LazyBandedMatrices.SymTridiagonal{…}, Tuple{…}, false})
   @ Base.Broadcast .\broadcast.jl:460
 [2] combine_styles(c1::Int64, c2::SubArray{Int64, 2, LazyBandedMatrices.SymTridiagonal{…}, Tuple{…}, false})
   @ Base.Broadcast .\broadcast.jl:461
 [3] broadcasted
   @ .\broadcast.jl:1347 [inlined]
 [4] broadcast_preserving_zero_d
   @ .\broadcast.jl:891 [inlined]
 [5] *(A::Int64, B::SubArray{Int64, 2, LazyBandedMatrices.SymTridiagonal{…}, Tuple{…}, false})
   @ Base .\arraymath.jl:21
 [6] top-level scope
   @ REPL[28]:1
Some type information was truncated. Use `show(err)` to see complete types.

julia> I - Xv
ERROR: MethodError: Base.Broadcast.BroadcastStyle(::Type{SubArray{Int64, 2, LazyBandedMatrices.SymTridiagonal{Int64, InfiniteArrays.InfUnitRange{Int64}, LazyArrays.CachedArray{Int64, 1, Vector{Int64}, Zeros{Int64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}}}, Tuple{InfiniteArrays.InfUnitRange{Int64}, InfiniteArrays.InfUnitRange{Int64}}, false}}) is ambiguous.

Candidates:
  Base.Broadcast.BroadcastStyle(::Type{<:SubArray{<:Any, 2, <:Any, <:Tuple{var"#s2", var"#s1"} where {var"#s2"<:(Union{Base.Slice{InfiniteArrays.OneToInf{T}}, InfiniteArrays.AbstractInfUnitRange{T}, InfiniteArrays.InfStepRange{T}} where T<:Integer), var"#s1"<:(Union{Base.Slice{InfiniteArrays.OneToInf{T}}, InfiniteArrays.AbstractInfUnitRange{T}, InfiniteArrays.InfStepRange{T}} where T<:Integer)}}})
    @ InfiniteArrays C:\Users\User\.julia\packages\InfiniteArrays\yaXl7\src\infrange.jl:489
  Base.Broadcast.BroadcastStyle(::Type{<:SubArray{<:Any, 2, <:BandedMatrices.AbstractBandedMatrix, <:Tuple{AbstractUnitRange{Int64}, AbstractUnitRange{Int64}}}})
    @ BandedMatrices C:\Users\User\.julia\packages\BandedMatrices\dec3g\src\generic\broadcast.jl:40

Possible fix, define
  Base.Broadcast.BroadcastStyle(::Type{<:SubArray{<:Any, 2, <:BandedMatrices.AbstractBandedMatrix, <:Tuple{…} where {…}}})

Stacktrace:
 [1] combine_styles(c::SubArray{Int64, 2, LazyBandedMatrices.SymTridiagonal{…}, Tuple{…}, false})
   @ Base.Broadcast .\broadcast.jl:460
 [2] broadcasted
   @ .\broadcast.jl:1341 [inlined]
 [3] broadcast_preserving_zero_d
   @ .\broadcast.jl:891 [inlined]
 [4] -(A::SubArray{Int64, 2, LazyBandedMatrices.SymTridiagonal{…}, Tuple{…}, false})
   @ Base .\abstractarraymath.jl:218
 [5] -(J::UniformScaling{Bool}, A::SubArray{Int64, 2, LazyBandedMatrices.SymTridiagonal{…}, Tuple{…}, false})
   @ LinearAlgebra C:\Users\User\.julia\juliaup\julia-1.10.3+0.x64.w64.mingw32\share\julia\stdlib\v1.10\LinearAlgebra\src\uniformscaling.jl:225
 [6] top-level scope
   @ REPL[29]:1
Some type information was truncated. Use `show(err)` to see complete types.

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Method ambiguity multiplying a LowerTriangular and a SymTridiagonal 

julia> using ClassicalOrthogonalPolynomials, LinearAlgebra

julia> P = Normalized(Legendre()); X = jacobimatrix(P); L = cholesky(I - X).L;

julia> X * L
ERROR: MethodError: copy(::ArrayLayouts.Mul{ArrayLayouts.SymTridiagonalLayout{LazyArrays.LazyLayout, LazyArrays.LazyLayout}, ArrayLayouts.TriangularLayout{'L', 'N', InfiniteLinearAlgebra.AdaptiveLayout{BandedMatrices.BandedRows{ArrayLayouts.DenseColumnMajor}}}, LazyBandedMatrices.SymTridiagonal{Float64, FillArrays.Zeros{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}, LazyArrays.BroadcastVector{Float64, typeof(sqrt), Tuple{LazyArrays.BroadcastVector{Float64, typeof(*), Tuple{LazyArrays.BroadcastVector{Float64, typeof(/), Tuple{InfiniteArrays.InfStepRange{Float64, Float64}, InfiniteArrays.InfStepRange{Int64, Int64}}}, LazyArrays.BroadcastVector{Float64, typeof(/), Tuple{InfiniteArrays.InfStepRange{Float64, Float64}, InfiniteArrays.InfStepRange{Int64, Int64}}}}}}}}, LowerTriangular{Float64, Adjoint{Float64, InfiniteLinearAlgebra.AdaptiveCholeskyFactors{Float64, BandedMatrices.BandedMatrix{Float64, Matrix{Float64}, Base.OneTo{Int64}}, LazyBandedMatrices.SymTridiagonal{Float64, FillArrays.Fill{Float64, 1, Tuple{InfiniteArrays.OneToInf{Int64}}}, LazyArrays.BroadcastVector{Float64, typeof(-), Tuple{LazyArrays.BroadcastVector{Float64, typeof(sqrt), Tuple{LazyArrays.BroadcastVector{Float64, typeof(*), Tuple{LazyArrays.BroadcastVector{Float64, typeof(/), Tuple{InfiniteArrays.InfStepRange{Float64, Float64}, InfiniteArrays.InfStepRange{Int64, Int64}}}, LazyArrays.BroadcastVector{Float64, typeof(/), Tuple{InfiniteArrays.InfStepRange{Float64, Float64}, InfiniteArrays.InfStepRange{Int64, Int64}}}}}}}}}}}}}}) is ambiguous.

Candidates:
  copy(M::ArrayLayouts.Mul{<:Union{ArrayLayouts.HermitianLayout{BandedMatrices.BandedColumns{LazyArrays.LazyLayout}}, ArrayLayouts.SymmetricLayout{BandedMatrices.BandedColumns{LazyArrays.LazyLayout}}, BandedMatrices.BandedColumns{LazyArrays.LazyLayout}, BandedMatrices.BandedRows{LazyArrays.LazyLayout}, BlockBandedMatrices.BlockBandedColumns{LazyArrays.LazyLayout}, BlockBandedMatrices.BlockBandedRows{LazyArrays.LazyLayout}, LazyBandedMatrices.AbstractLazyBandedBlockBandedLayout, LazyBandedMatrices.AbstractLazyBandedLayout, LazyBandedMatrices.AbstractLazyBlockBandedLayout, ArrayLayouts.BidiagonalLayout{LazyArrays.LazyLayout}, ArrayLayouts.HermitianLayout{<:LazyBandedMatrices.AbstractLazyBandedBlockBandedLayout}, ArrayLayouts.SymTridiagonalLayout{LazyArrays.LazyLayout}, ArrayLayouts.SymmetricLayout{<:LazyBandedMatrices.AbstractLazyBandedBlockBandedLayout}, ArrayLayouts.TriangularLayout{UPLO, UNIT, BandedMatrices.BandedColumns{LazyArrays.LazyLayout}} where {UPLO, UNIT}, ArrayLayouts.TriangularLayout{UPLO, UNIT, BandedMatrices.BandedRows{LazyArrays.LazyLayout}} where {UPLO, UNIT}, ArrayLayouts.TriangularLayout{'L', 'N', <:LazyBandedMatrices.AbstractLazyBandedBlockBandedLayout}, ArrayLayouts.TriangularLayout{'U', 'N', <:LazyBandedMatrices.AbstractLazyBandedBlockBandedLayout}, ArrayLayouts.TriangularLayout{'L', 'U', <:LazyBandedMatrices.AbstractLazyBandedBlockBandedLayout}, ArrayLayouts.TriangularLayout{'U', 'U', <:LazyBandedMatrices.AbstractLazyBandedBlockBandedLayout}, ArrayLayouts.TridiagonalLayout{LazyArrays.LazyLayout}, BlockArrays.BlockLayout{ArrayLayouts.BidiagonalLayout{LazyArrays.LazyLayout, LazyArrays.LazyLayout}}, BlockArrays.BlockLayout{ArrayLayouts.DiagonalLayout{LazyArrays.LazyLayout}}, BlockArrays.BlockLayout{ArrayLayouts.SymTridiagonalLayout{LazyArrays.LazyLayout, LazyArrays.LazyLayout}}, BlockArrays.BlockLayout{ArrayLayouts.TridiagonalLayout{LazyArrays.LazyLayout, LazyArrays.LazyLayout, LazyArrays.LazyLayout}}, BlockArrays.BlockLayout{LazyArrays.LazyLayout}, BlockArrays.BlockLayout{LazyBandedMatrices.LazyBandedLayout}, BlockBandedMatrices.BandedBlockBandedColumns{<:LazyArrays.AbstractLazyLayout}, BlockBandedMatrices.BandedBlockBandedRows{<:LazyArrays.AbstractLazyLayout}}})
    @ LazyBandedMatrices C:\Users\User\.julia\packages\LazyBandedMatrices\59umZ\src\LazyBandedMatrices.jl:926
  copy(M::ArrayLayouts.Mul{<:Any, <:Union{LazyArrays.AbstractLazyLayout, ArrayLayouts.HermitianLayout{<:LazyArrays.AbstractLazyLayout}, ArrayLayouts.SymmetricLayout{<:LazyArrays.AbstractLazyLayout}, ArrayLayouts.TriangularLayout{'L', 'N', <:LazyArrays.AbstractLazyLayout}, ArrayLayouts.TriangularLayout{'U', 'N', <:LazyArrays.AbstractLazyLayout}, ArrayLayouts.TriangularLayout{'L', 'U', <:LazyArrays.AbstractLazyLayout}, ArrayLayouts.TriangularLayout{'U', 'U', <:LazyArrays.AbstractLazyLayout}}})
    @ LazyArrays C:\Users\User\.julia\packages\LazyArrays\JNdsG\src\linalg\mul.jl:360

Possible fix, define
  copy(::ArrayLayouts.Mul{<:Union{…}, <:Union{…}})

Stacktrace:
 [1] materialize
   @ C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\mul.jl:127 [inlined]
 [2] mul
   @ C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\mul.jl:128 [inlined]
 [3] *(A::LazyBandedMatrices.SymTridiagonal{…}, B::LowerTriangular{…})
   @ ArrayLayouts C:\Users\User\.julia\packages\ArrayLayouts\ccyJu\src\mul.jl:252
 [4] top-level scope
   @ REPL[7]:1
Some type information was truncated. Use `show(err)` to see complete types.

Not exactly sure what the issue with the types are. Just defining a SymTridiagonal and a LowerTriangular directly works fine (if the matrices are finite - if they are infinite, the multiplication works but it just never completes).

Regression on v1.10 in inferring the `eltype` of a `BlockBroadcastArray`

The following has changed between v1.9 and v1.10:

a = unitblocks(randn(2,3))
b = unitblocks(randn(2,3))
c = unitblocks(randn(2,3))
d = unitblocks(randn(2,3))
e = unitblocks(randn(2,3))
f = unitblocks(randn(2,3))

BlockBroadcastArray(hvcat, 2, a, b, c, d, e, f) |> eltype

The eltype is Float64 on v1.9 and Any on v1.10. The difference appears to arise because the method uses internal Julia broadcast type-inference machinery, which has changed. This is leading to test failures in test_blockconcat.jl/Interlace/hvcat

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