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using BandedMatrices, LinearAlgebra, LinearSolve, Test | ||
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# Square Case | ||
n = 8 | ||
A = BandedMatrix(Matrix(I, n, n), (2, 2)) | ||
b = ones(n) | ||
A1 = A / 1; | ||
b1 = rand(n); | ||
x1 = zero(b); | ||
A2 = A / 2; | ||
b2 = rand(n); | ||
x2 = zero(b); | ||
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sol1 = solve(LinearProblem(A1, b1; u0 = x1)) | ||
@test sol1.u ≈ A1 \ b1 | ||
sol2 = solve(LinearProblem(A2, b2; u0 = x2)) | ||
@test sol2.u ≈ A2 \ b2 | ||
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# Square Symmetric | ||
A1s = Symmetric(A1) | ||
A2s = Symmetric(A2) | ||
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sol1s = solve(LinearProblem(A1s, b1; u0 = x1)) | ||
@test sol1s.u ≈ A1s \ b1 | ||
sol2s = solve(LinearProblem(A2s, b2; u0 = x2)) | ||
@test sol2s.u ≈ A2s \ b2 | ||
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# Underdetermined | ||
A = BandedMatrix(rand(8, 10), (2, 2)) | ||
b = rand(8) | ||
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@test_throws ErrorException solve(LinearProblem(A, b)).u | ||
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# Overdetermined | ||
A = BandedMatrix(ones(10, 8), (2, 0)) | ||
b = rand(10) | ||
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@test_nowarn solve(LinearProblem(A, b)) |
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