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orthnull.jl
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124 lines (120 loc) · 3.62 KB
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using MatrixAlgebraKit:
MatrixAlgebraKit,
left_orth!,
left_polar!,
lq_compact!,
qr_compact!,
right_orth!,
right_polar!,
select_algorithm,
svd_compact!
function MatrixAlgebraKit.initialize_output(
::typeof(left_orth!), A::AbstractBlockSparseMatrix
)
return nothing
end
function MatrixAlgebraKit.check_input(::typeof(left_orth!), A::AbstractBlockSparseMatrix, F)
!isnothing(F) && throw(
ArgumentError(
"`left_orth!` on block sparse matrices does not support specifying the output"
),
)
return nothing
end
function MatrixAlgebraKit.left_orth_qr!(A::AbstractBlockSparseMatrix, F, alg)
!isnothing(F) && throw(
ArgumentError(
"`left_orth!` on block sparse matrices does not support specifying the output"
),
)
alg′ = select_algorithm(qr_compact!, A, alg)
return qr_compact!(A, alg′)
end
function MatrixAlgebraKit.left_orth_polar!(A::AbstractBlockSparseMatrix, F, alg)
!isnothing(F) && throw(
ArgumentError(
"`left_orth!` on block sparse matrices does not support specifying the output"
),
)
alg′ = select_algorithm(left_polar!, A, alg)
return left_polar!(A, alg′)
end
function MatrixAlgebraKit.left_orth_svd!(
A::AbstractBlockSparseMatrix, F, alg, trunc::Nothing=nothing
)
!isnothing(F) && throw(
ArgumentError(
"`left_orth!` on block sparse matrices does not support specifying the output"
),
)
alg′ = select_algorithm(svd_compact!, A, alg)
U, S, Vᴴ = svd_compact!(A, alg′)
return U, S * Vᴴ
end
function MatrixAlgebraKit.left_orth_svd!(A::AbstractBlockSparseMatrix, F, alg, trunc)
!isnothing(F) && throw(
ArgumentError(
"`left_orth!` on block sparse matrices does not support specifying the output"
),
)
alg′ = select_algorithm(svd_compact!, A, alg)
alg_trunc = select_algorithm(svd_trunc!, A, alg′; trunc)
U, S, Vᴴ = svd_trunc!(A, alg_trunc)
return U, S * Vᴴ
end
function MatrixAlgebraKit.initialize_output(
::typeof(right_orth!), A::AbstractBlockSparseMatrix
)
return nothing
end
function MatrixAlgebraKit.check_input(
::typeof(right_orth!), A::AbstractBlockSparseMatrix, F::Nothing
)
!isnothing(F) && throw(
ArgumentError(
"`right_orth!` on block sparse matrices does not support specifying the output"
),
)
return nothing
end
function MatrixAlgebraKit.right_orth_lq!(A::AbstractBlockSparseMatrix, F, alg)
!isnothing(F) && throw(
ArgumentError(
"`right_orth!` on block sparse matrices does not support specifying the output"
),
)
alg′ = select_algorithm(lq_compact!, A, alg)
return lq_compact!(A, alg′)
end
function MatrixAlgebraKit.right_orth_polar!(A::AbstractBlockSparseMatrix, F, alg)
!isnothing(F) && throw(
ArgumentError(
"`right_orth!` on block sparse matrices does not support specifying the output"
),
)
alg′ = select_algorithm(right_polar!, A, alg)
return right_polar!(A, alg′)
end
function MatrixAlgebraKit.right_orth_svd!(
A::AbstractBlockSparseMatrix, F, alg, trunc::Nothing=nothing
)
!isnothing(F) && throw(
ArgumentError(
"`right_orth!` on block sparse matrices does not support specifying the output"
),
)
alg′ = select_algorithm(svd_compact!, A, alg)
U, S, Vᴴ = svd_compact!(A, alg′)
return U * S, Vᴴ
end
function MatrixAlgebraKit.right_orth_svd!(A::AbstractBlockSparseMatrix, F, alg, trunc)
!isnothing(F) && throw(
ArgumentError(
"`right_orth!` on block sparse matrices does not support specifying the output"
),
)
alg′ = select_algorithm(svd_compact!, A, alg)
alg_trunc = select_algorithm(svd_trunc!, A, alg′; trunc)
U, S, Vᴴ = svd_trunc!(A, alg_trunc)
return U * S, Vᴴ
end