using Clarabel, SparseArrays
P = spzeros(3,3)
q = [-1.,0.,0.]
A = sparse([
-1. 0. 0.;
0. -1. 0.;
0. 0. -1.;
0. 1. 0.;
0. 0. 1.]);
b = [0.,0.,0.,1.,exp(5.)];
cones = [Clarabel.ExponentialConeT(), Clarabel.ZeroConeT(2)]
solver = Clarabel.Solver()
settings = Clarabel.Settings()
Clarabel.setup!(solver, P, q, A, b, cones, settings)
result = Clarabel.solve!(solver)-------------------------------------------------------------
Clarabel.jl v0.5.1 - Clever Acronym
(c) Paul Goulart
University of Oxford, 2022
-------------------------------------------------------------
problem:
variables = 3
constraints = 5
nnz(P) = 0
nnz(A) = 5
cones (total) = 2
: Zero = 1, numel = 2
: Exponential = 1, numel = 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 9.89e-01 5.04e-01 1.00e+00 1.00e+00 ------
1 3.1741e+00 6.5571e+00 1.07e+00 9.18e-01 9.36e-02 4.36e+00 2.23e-01 7.84e-01
2 1.4884e+01 3.0958e+01 1.08e+00 6.79e-01 1.93e-02 1.70e+01 4.97e-02 7.84e-01
3 2.4751e+01 5.2175e+01 1.11e+00 2.61e-01 5.58e-03 2.79e+01 1.27e-02 7.84e-01
4 8.0481e+00 1.5052e+01 8.70e-01 6.52e-02 1.77e-03 7.18e+00 3.92e-03 7.84e-01
5 -1.6416e+00 -4.3466e-02 1.60e+00 1.38e-02 3.71e-04 1.64e+00 8.74e-04 7.84e-01
6 -4.1601e+00 -3.7998e+00 9.48e-02 3.04e-03 8.12e-05 3.69e-01 1.95e-04 7.84e-01
7 -4.9775e+00 -4.9667e+00 2.18e-03 8.70e-05 2.32e-06 1.11e-02 5.60e-06 9.80e-01
8 -4.9997e+00 -4.9993e+00 6.43e-05 2.50e-06 6.65e-08 3.29e-04 1.61e-07 9.80e-01
9 -5.0000e+00 -5.0000e+00 1.88e-06 7.17e-08 1.91e-09 9.63e-06 4.62e-09 9.80e-01
10 -5.0000e+00 -5.0000e+00 5.48e-08 2.06e-09 5.49e-11 2.80e-07 1.33e-10 9.80e-01
11 -5.0000e+00 -5.0000e+00 1.59e-09 5.92e-11 1.58e-12 8.12e-09 3.81e-12 9.80e-01
---------------------------------------------------------------------------------------------
Terminated with status = solved
solve time = 77.6ms>>> Clarabel - Results
Status: SOLVED
Iterations: 11
Objective: -5.000
Solve time: 77.6ms
result.x3-element Vector{Float64}:
4.999999989153166
0.9999999998246705
148.41315907622325This page was generated using Literate.jl.