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 v0.11.0 - 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: 64 bit (1 thread)
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 8.26e-01 1.00e+00 1.00e+00 ------
1 -7.2016e-01 -7.0464e-01 1.55e-02 1.63e-01 2.05e-01 2.71e-01 2.63e-01 7.92e-01
2 -1.8150e+00 -1.7812e+00 1.90e-02 2.01e-02 2.34e-02 7.57e-02 3.29e-02 9.90e-01
3 -1.8389e+00 -1.8319e+00 3.82e-03 4.32e-03 4.98e-03 1.59e-02 7.06e-03 7.92e-01
4 -1.8436e+00 -1.8421e+00 7.92e-04 9.26e-04 1.07e-03 3.37e-03 1.51e-03 7.92e-01
5 -1.8449e+00 -1.8446e+00 1.66e-04 1.99e-04 2.29e-04 7.16e-04 3.24e-04 7.92e-01
6 -1.8452e+00 -1.8452e+00 3.47e-05 4.26e-05 4.90e-05 1.52e-04 6.95e-05 7.92e-01
7 -1.8453e+00 -1.8453e+00 7.30e-06 9.13e-06 1.05e-05 3.23e-05 1.49e-05 7.92e-01
8 -1.8453e+00 -1.8453e+00 1.53e-06 1.96e-06 2.25e-06 6.87e-06 3.19e-06 7.92e-01
9 -1.8454e+00 -1.8454e+00 3.23e-07 4.20e-07 4.82e-07 1.46e-06 6.85e-07 7.92e-01
10 -1.8454e+00 -1.8454e+00 6.79e-08 8.99e-08 1.03e-07 3.11e-07 1.47e-07 7.92e-01
11 -1.8454e+00 -1.8454e+00 1.43e-08 1.93e-08 2.22e-08 6.61e-08 3.15e-08 7.92e-01
12 -1.8454e+00 -1.8454e+00 5.40e-09 7.63e-09 8.78e-09 2.57e-08 1.25e-08 6.34e-01
---------------------------------------------------------------------------------------------
Terminated with status = solved
solve time = 3.02ms>>> Clarabel - Results
Status: SOLVED
Iterations: 12
Objective: -1.845
Solve time: 3.02ms
result.x6-element Vector{Float64}:
1.6816915436720041
0.5606903134362736
1.08376975856668
0.06564259407736482
0.9999999842588818
0.761585320454328This page was generated using Literate.jl.