BlockSparseArrays.jl/src/factorizations/orthnull.jl at 825c81673ce6a061165b32b19e776ecd6a6f1fa3 · ITensor/BlockSparseArrays.jl · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
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::Nothing
)
  return nothing
end

function MatrixAlgebraKit.left_orth_qr!(A::AbstractBlockSparseMatrix, F, alg)
  alg′ = select_algorithm(qr_compact!, A, alg)
  return qr_compact!(A, alg′)
end
function MatrixAlgebraKit.left_orth_polar!(A::AbstractBlockSparseMatrix, F, alg)
  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
)
  alg′ = select_algorithm(svd_compact!, A, alg)
  U, S, Vᴴ = svd_compact!(A, alg′)
  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
)
  return nothing
end

function MatrixAlgebraKit.right_orth_lq!(A::AbstractBlockSparseMatrix, F, alg)
  alg′ = select_algorithm(lq_compact!, A, alg)
  return lq_compact!(A, alg′)
end
function MatrixAlgebraKit.right_orth_polar!(A::AbstractBlockSparseMatrix, F, alg)
  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
)
  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)
  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