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LU-factorize without pivoting for inv of Taylor1 matrices #223

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merged 3 commits into from
Sep 6, 2019
Merged

LU-factorize without pivoting for inv of Taylor1 matrices #223

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c9cabd6
Add `inv` for `Matrix{Taylor1{T}}`, without pivoting in `lu`
lbenet Sep 6, 2019
a620055
Fixes tests for inv by shifting the diagonal
lbenet Sep 6, 2019
0bc4833
Specialize `lu` instead of `inv`
lbenet Sep 6, 2019
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Fixes tests for inv by shifting the diagonal
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@lbenet
lbenet committed Sep 6, 2019
commit a6200559b18c914d677e24dc45a463568092a1c2
25 changes: 13 additions & 12 deletions test/onevariable.jl
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Expand Up @@ -506,21 +506,22 @@ end

@testset "Test `inv` for `Matrix{Taylor1{Float64}}``" begin
t = Taylor1(5)
a = rand(3, 3)
b = a .+ zero(t)

a = Diagonal(rand(0:10,3)) + rand(3, 3)
b = Taylor1.(a, 5)
binv = inv(b)
I_t_5 = UniformScaling(one(Taylor1(5))) # 3x3 Taylor1{Float64} identity matrix, order 5
@test norm(b*binv - I_t_5, Inf) ≤ 1e-11
@test norm(binv*b - I_t_5, Inf) ≤ 1e-11
@test norm(triu(b)*inv(UpperTriangular(b)) - I_t_5, Inf) ≤ 1e-11
@test norm(inv(LowerTriangular(b))*tril(b) - I_t_5, Inf) ≤ 1e-11
@test norm(binv - inv(a), Inf) ≤ 1e-11
@test norm(b*binv - I, Inf) ≤ 1e-11
@test norm(binv*b - I, Inf) ≤ 1e-11
@test norm(triu(b)*inv(UpperTriangular(b)) - I, Inf) ≤ 1e-11
@test norm(inv(LowerTriangular(b))*tril(b) - I, Inf) ≤ 1e-11

b = a .+ t
b .= b .+ t
binv = inv(b)
@test norm(b*binv - I_t_5, Inf) ≤ 1e-11
@test norm(binv*b - I_t_5, Inf) ≤ 1e-11
@test norm(triu(b)*inv(triu(b)) - I_t_5, Inf) ≤ 1e-11
@test norm(inv(tril(b))*tril(b) - I_t_5, Inf) ≤ 1e-11
@test norm(b*binv - I, Inf) ≤ 1e-11
@test norm(binv*b - I, Inf) ≤ 1e-11
@test norm(triu(b)*inv(triu(b)) - I, Inf) ≤ 1e-11
@test norm(inv(tril(b))*tril(b) - I, Inf) ≤ 1e-11
end

@testset "Matrix multiplication for Taylor1" begin
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