using Clarabel, SparseArrays
P = spzeros(6,6)
q = [0., 0., -1., 0., 0., -1.]
A = sparse([
-1. 0. 0. 0. 0. 0.;
0. -1. 0. 0. 0. 0.;
0. 0. -1. 0. 0. 0.;
0. 0. 0. -1. 0. 0.;
0. 0. 0. 0. -1. 0.;
0. 0. 0. 0. 0. -1.;
1. 2. 0. 3. 0. 0.;
0. 0. 0. 0. 1. 0.])
b = [0., 0., 0., 0., 0., 0., 3., 1.]
cones = [Clarabel.PowerConeT(0.6), Clarabel.PowerConeT(0.1), Clarabel.ZeroConeT(2)]
solver = Clarabel.Solver()
settings = Clarabel.Settings()
Clarabel.setup!(solver, P, q, A, b, cones, settings)
result = Clarabel.solve!(solver)-------------------------------------------------------------
Clarabel.jl v0.8.1 - Clever Acronym
(c) Paul Goulart
University of Oxford, 2022
-------------------------------------------------------------
problem:
variables = 6
constraints = 8
nnz(P) = 0
nnz(A) = 10
cones (total) = 3
: Zero = 1, numel = 2
: Power = 2, numel = (3,3)
settings:
linear algebra: direct / qdldl, precision: Float64
max iter = 200, time limit = Inf, max step = 0.990
tol_feas = 1.0e-08, tol_gap_abs = 1.0e-08, tol_gap_rel = 1.0e-08,
static reg : on, ϵ1 = 1.0e-08, ϵ2 = 4.9e-32
dynamic reg: on, ϵ = 1.0e-13, δ = 2.0e-07
iter refine: on, reltol = 1.0e-13, abstol = 1.0e-12,
max iter = 10, stop ratio = 5.0
equilibrate: on, min_scale = 1.0e-04, max_scale = 1.0e+04
max iter = 10
iter pcost dcost gap pres dres k/t μ step
---------------------------------------------------------------------------------------------
0 0.0000e+00 -0.0000e+00 0.00e+00 7.43e-01 1.02e+00 1.00e+00 1.00e+00 ------
1 -7.2016e-01 -7.0464e-01 1.55e-02 1.57e-01 2.11e-01 2.71e-01 2.63e-01 7.92e-01
2 -1.8008e+00 -1.7671e+00 1.90e-02 2.13e-02 2.58e-02 7.82e-02 3.52e-02 9.80e-01
3 -1.8433e+00 -1.8426e+00 3.44e-04 5.91e-04 7.02e-04 1.87e-03 9.76e-04 9.80e-01
4 -1.8448e+00 -1.8447e+00 7.21e-05 1.27e-04 1.51e-04 3.98e-04 2.09e-04 7.92e-01
5 -1.8452e+00 -1.8452e+00 1.52e-05 2.72e-05 3.23e-05 8.48e-05 4.49e-05 7.92e-01
6 -1.8453e+00 -1.8453e+00 3.21e-06 5.83e-06 6.92e-06 1.81e-05 9.62e-06 7.92e-01
7 -1.8453e+00 -1.8453e+00 6.77e-07 1.25e-06 1.48e-06 3.86e-06 2.06e-06 7.92e-01
8 -1.8454e+00 -1.8454e+00 1.43e-07 2.68e-07 3.18e-07 8.23e-07 4.42e-07 7.92e-01
9 -1.8454e+00 -1.8454e+00 3.03e-08 5.74e-08 6.81e-08 1.76e-07 9.47e-08 7.92e-01
10 -1.8454e+00 -1.8454e+00 6.41e-09 1.23e-08 1.46e-08 3.75e-08 2.03e-08 7.92e-01
11 -1.8454e+00 -1.8454e+00 1.36e-09 2.64e-09 3.13e-09 8.00e-09 4.35e-09 7.92e-01
---------------------------------------------------------------------------------------------
Terminated with status = solved
solve time = 904μs>>> Clarabel - Results
Status: SOLVED
Iterations: 11
Objective: -1.845
Solve time: 904μs
result.x6-element Vector{Float64}:
1.6818451504042895
0.5606011366352672
1.0837601867673565
0.06565085327599281
0.9999999945009342
0.7615949121634987This page was generated using Literate.jl.