Support LinearProblems in SCCs #633
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| du[1]=cos(u[2])-u[1] | ||
| du[2]=sin(u[1]+u[2])+u[2] | ||
| du[3]=2u[4]+u[3]+1.0 | ||
| du[4]=u[5]^2+u[4] | ||
| du[5]=u[3]^2+u[5] | ||
| du[6]=u[1]+u[2]+u[3]+u[4]+u[5]+2.0u[6]+2.5u[7]+1.5u[8] | ||
| du[7]=u[1]+u[2]+u[3]+2.0u[4]+u[5]+4.0u[6]-1.5u[7]+1.5u[8] | ||
| du[8]=u[1]+2.0u[2]+3.0u[3]+5.0u[4]+6.0u[5]+u[6]-u[7]-u[8] |
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| du[1]=cos(u[2])-u[1] | |
| du[2]=sin(u[1]+u[2])+u[2] | |
| du[3]=2u[4]+u[3]+1.0 | |
| du[4]=u[5]^2+u[4] | |
| du[5]=u[3]^2+u[5] | |
| du[6]=u[1]+u[2]+u[3]+u[4]+u[5]+2.0u[6]+2.5u[7]+1.5u[8] | |
| du[7]=u[1]+u[2]+u[3]+2.0u[4]+u[5]+4.0u[6]-1.5u[7]+1.5u[8] | |
| du[8]=u[1]+2.0u[2]+3.0u[3]+5.0u[4]+6.0u[5]+u[6]-u[7]-u[8] | |
| du[1] = cos(u[2]) - u[1] | |
| du[2] = sin(u[1] + u[2]) + u[2] | |
| du[3] = 2u[4] + u[3] + 1.0 | |
| du[4] = u[5]^2 + u[4] | |
| du[5] = u[3]^2 + u[5] | |
| du[6] = u[1] + u[2] + u[3] + u[4] + u[5] + 2.0u[6] + 2.5u[7] + 1.5u[8] | |
| du[7] = u[1] + u[2] + u[3] + 2.0u[4] + u[5] + 4.0u[6] - 1.5u[7] + 1.5u[8] | |
| du[8] = u[1] + 2.0u[2] + 3.0u[3] + 5.0u[4] + 6.0u[5] + u[6] - u[7] - u[8] |
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| prob=NonlinearProblem(f, zeros(8)) | ||
| sol=solve(prob, NewtonRaphson()) |
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| prob=NonlinearProblem(f, zeros(8)) | |
| sol=solve(prob, NewtonRaphson()) | |
| prob = NonlinearProblem(f, zeros(8)) | |
| sol = solve(prob, NewtonRaphson()) |
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| u0=zeros(2) | ||
| p=zeros(3) |
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| u0=zeros(2) | |
| p=zeros(3) | |
| u0 = zeros(2) | |
| p = zeros(3) |
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| du[1]=cos(u[2])-u[1] | ||
| du[2]=sin(u[1]+u[2])+u[2] |
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| du[1]=cos(u[2])-u[1] | |
| du[2]=sin(u[1]+u[2])+u[2] | |
| du[1] = cos(u[2]) - u[1] | |
| du[2] = sin(u[1] + u[2]) + u[2] |
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| explicitfun1(p, sols)=nothing | ||
| prob1=NonlinearProblem( |
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| explicitfun1(p, sols)=nothing | |
| prob1=NonlinearProblem( | |
| explicitfun1(p, sols) = nothing | |
| prob1 = NonlinearProblem( |
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| A3=[2.0 2.5 1.5; 4.0 -1.5 1.5; 1.0 -1.0 -1.0] | ||
| b3=p # b will be updated by explicitfun3 | ||
| prob3=LinearProblem(A3, b3, zeros(3)) |
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| A3=[2.0 2.5 1.5; 4.0 -1.5 1.5; 1.0 -1.0 -1.0] | |
| b3=p # b will be updated by explicitfun3 | |
| prob3=LinearProblem(A3, b3, zeros(3)) | |
| A3 = [2.0 2.5 1.5; 4.0 -1.5 1.5; 1.0 -1.0 -1.0] | |
| b3 = p # b will be updated by explicitfun3 | |
| prob3 = LinearProblem(A3, b3, zeros(3)) |
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| p[1]=-(sols[1][1]+sols[1][2]+sols[2][1]+sols[2][2]+sols[2][3]) | ||
| p[2]=-(sols[1][1]+sols[1][2]+sols[2][1]+2.0sols[2][2]+sols[2][3]) | ||
| p[3]=-(sols[1][1]+2.0sols[1][2]+3.0sols[2][1]+5.0sols[2][2]+ | ||
| 6.0sols[2][3]) |
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| p[1]=-(sols[1][1]+sols[1][2]+sols[2][1]+sols[2][2]+sols[2][3]) | |
| p[2]=-(sols[1][1]+sols[1][2]+sols[2][1]+2.0sols[2][2]+sols[2][3]) | |
| p[3]=-(sols[1][1]+2.0sols[1][2]+3.0sols[2][1]+5.0sols[2][2]+ | |
| 6.0sols[2][3]) | |
| p[1] = -(sols[1][1] + sols[1][2] + sols[2][1] + sols[2][2] + sols[2][3]) | |
| p[2] = -(sols[1][1] + sols[1][2] + sols[2][1] + 2.0sols[2][2] + sols[2][3]) | |
| p[3] = -(sols[1][1] + 2.0sols[1][2] + 3.0sols[2][1] + 5.0sols[2][2] + | |
| 6.0sols[2][3]) |
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| sol3=solve(prob3) # LinearProblem uses default linear solver | ||
| manualscc=reduce(vcat, (sol1, sol2, sol3)) |
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| sol3=solve(prob3) # LinearProblem uses default linear solver | |
| manualscc=reduce(vcat, (sol1, sol2, sol3)) | |
| sol3 = solve(prob3) # LinearProblem uses default linear solver | |
| manualscc = reduce(vcat, (sol1, sol2, sol3)) |
| manualscc=reduce(vcat, (sol1, sol2, sol3)) | ||
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| sccprob = SciMLBase.SCCNonlinearProblem([prob1, prob2, prob3], | ||
| sccprob=SciMLBase.SCCNonlinearProblem((prob1, prob2, prob3), |
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| sccprob=SciMLBase.SCCNonlinearProblem((prob1, prob2, prob3), | |
| sccprob = SciMLBase.SCCNonlinearProblem((prob1, prob2, prob3), |
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| scc_alg=SCCNonlinearSolve.SCCAlg(nlalg = NewtonRaphson(), linalg = nothing) | ||
| scc_sol=solve(sccprob, scc_alg) |
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| scc_alg=SCCNonlinearSolve.SCCAlg(nlalg = NewtonRaphson(), linalg = nothing) | |
| scc_sol=solve(sccprob, scc_alg) | |
| scc_alg = SCCNonlinearSolve.SCCAlg(nlalg = NewtonRaphson(), linalg = nothing) | |
| scc_sol = solve(sccprob, scc_alg) |
| @test sol ≈ manualscc ≈ scc_sol | ||
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| # Backwards compat of alg choice | ||
| scc_sol=solve(sccprob, NewtonRaphson()) |
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| scc_sol=solve(sccprob, NewtonRaphson()) | |
| scc_sol = solve(sccprob, NewtonRaphson()) |
| scc_sol = solve(sccprob) | ||
| @test sol ≈ manualscc ≈ scc_sol | ||
| # Test default interface | ||
| scc_sol_default=solve(sccprob) |
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| scc_sol_default=solve(sccprob) | |
| scc_sol_default = solve(sccprob) |
| if !SciMLBase.successful_retcode(_sol) | ||
| break | ||
| end | ||
| function CommonSolve.solve(prob::SciMLBase.SCCNonlinearProblem, alg::SciMLBase.AbstractNonlinearAlgorithm; kwargs...) |
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| function CommonSolve.solve(prob::SciMLBase.SCCNonlinearProblem, alg::SciMLBase.AbstractNonlinearAlgorithm; kwargs...) | |
| function CommonSolve.solve(prob::SciMLBase.SCCNonlinearProblem, | |
| alg::SciMLBase.AbstractNonlinearAlgorithm; kwargs...) |
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