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Adding rtol and atol for pinv and nullspace #29998

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merged 12 commits into from
Dec 11, 2018
Merged

Adding rtol and atol for pinv and nullspace #29998

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759afc8
Add code for rtol and atol
Nov 10, 2018
62c9adf
add tests
Nov 11, 2018
278321e
Merge branch 'master' of https://github.com/JuliaLang/julia into pinv…
Nov 20, 2018
82afdf2
resolve comment
Nov 21, 2018
46d3cd6
fix typo
Nov 22, 2018
c3d8fc6
fix tests
Nov 23, 2018
20346b5
Merge branch 'master' of https://github.com/JuliaLang/julia into pinv…
Dec 7, 2018
3e28425
add news.md item
Dec 7, 2018
6dbd52a
Not deprecated yet.
simonbyrne Dec 7, 2018
d90190d
Tweak docs slightly
simonbyrne Dec 7, 2018
6418489
Merge branch 'master' into pinvNull
sam0410 Dec 10, 2018
367c63b
typo from diff
simonbyrne Dec 11, 2018
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add tests
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sam0410 committed Nov 11, 2018
commit 62c9adf436dded66758e95da2f3cf67bb53916b9
8 changes: 8 additions & 0 deletions stdlib/LinearAlgebra/test/dense.jl
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Expand Up @@ -72,6 +72,8 @@ bimg = randn(n,2)/2
@test norm(a[:,1:n1]'a15null,Inf) ≈ zero(eltya) atol=300ε
@test norm(a15null'a[:,1:n1],Inf) ≈ zero(eltya) atol=400ε
@test size(nullspace(b), 2) == 0
@test size(nullspace(b, rtol=2), 2) != 0
@test size(nullspace(b, atol=2), 2) == 0
@test size(nullspace(b, 100*εb), 2) == 0
@test nullspace(zeros(eltya,n)) == Matrix(I, 1, 1)
@test nullspace(zeros(eltya,n), 0.1) == Matrix(I, 1, 1)
Expand All @@ -82,6 +84,12 @@ bimg = randn(n,2)/2
end
end # for eltyb

@testset "Test pinv (rtol, atol)" begin
M = [1 0 0; 0 1 0; 0 0 0]
@test pinv(M,atol=1)== zeros(3,3)
@test pinv(M,rtol=0.5)== M
end

for (a, a2) in ((copy(ainit), copy(ainit2)), (view(ainit, 1:n, 1:n), view(ainit2, 1:n, 1:n)))
@testset "Test pinv" begin
pinva15 = pinv(a[:,1:n1])
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