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...hWorks Optimization TB. See [[TOMLAB Appendix E]] for more information and test examples. The test examples and output files are part of the standard distribution of TOMLAB,

...re problems can be found. Many of these are quite large and may be good as test cases for benchmarking. A package of about 250 MB with mixed LP/MILP are al ...al linear programming test problems: lp_prob|Additional linear programming test problems: lp_prob]]

...oes not utilize information about derivatives. To define the ''Shekel 5 ''test problem in a routine ''glb1_f'', the following statements are needed To solve the ''Shekel 5 ''test problem define the following statements, available as ''glb1Demo ''in ''gl

...n solvers MINOS and QPOPT, available in TOMLAB v4.0, are compared. In all test cases the solvers converge to the same solution. The results are presented ...generated medium size LP problems for four different routines.]] a similar test is shown, running 20 problems with about 100 variables and 50 inequality co

Test of TOMLAB /CPLEX level 1 interface solving three larger binary integer lin ...binary integer linear optimization problems calling the CPLEX solver. The test problem 1 and 2 have 1956 variables, 23 equalities and four inequalities wi

Check frequency 60 * test row residuals ||Ax - s|| ...''= 0, where ''s ''is the set of slack variables. To perform the numerical test, the residual vector ''r ''= ''s - Ax ''is computed. If the largest compone

...O Test Examples]] provides information regarding (non-costly) TOMLAB /CGO test examples. ==TOMLAB /CGO Test Examples==

...mization environment. TOMLAB gives easy access to a large set of standard test problems, optimization solvers and utilities. Contains examples on the process of defining problems and solving them. All test examples are available as part of the TOMLAB distribution.

0: Perform tests for sparsity pattern and test that the derivatives appear to be ok. This is the default. ...uous. The test is much more expensive and should only be used of the cheap test does not find an error but one is expected to exist.

In <tt>glb_prob</tt> there are 51 unconstrained global optimization test problems with sizes to 100 variables. In order to define the problem n and In <tt>glo1_prob</tt> there are 30 global optimization test problems in one dimension. In order to define the problem n and solve it e

...''b'', where ''s ''is the set of slack variables. To perform the numerical test, the residual vector ''r ''= ''b - Ax - s ''is computed. If the largest com ...for. If the objective is scaled down to be very ''small'', the optimality test reduces to comparing ''d_j ''against ''t''.

...t is larger than this tolerance, the point is classified infeasible. This test is made because points returned by NLP solvers may occasionally be infeasi ...n the first stage of the algorithm. If trial points are rejected by this test for more than WAITCYCLE consecutive iterations, the threshold is increased

* Some Matlab test routines are included, described in Section [[GUROBI Appendix A#gurobi]] (n ==Appendix B - The Matlab Interface Routines - Test Routines==

The TOMLAB bundle testprob provides three sets of test problems for (constrained) nonlinear least squares: <tt>cls_prob</tt>, <t <tt>cls_prob</tt> consists of 45 constrained nonlinear least squares test problems with up to 14 variables and a mixture of linear and nonlinear cons

...the ''testprob ''folder in TOMLAB. ''lgo1_prob ''contains one dimensional test problems while ''lgo2_prob ''includes two- and higher-dimensional. Several To test the solution of these problem sets with CGO, the following type of code can

...h to these files are always given in the text. Throughout this section the test problem ''Rosenbrock's banana'', ...'&sigma;'' = 0''.''9, the value must be set slightly different to fool the test:

...as optimum: ''norm(xk - xOpt(:, i))'' <= ''xEqTol * max(1, norm(xk))'' If test fulfilled x_k is assumed to be too close to xOpt(:,i) Default xEqTol = 1E-5 |||''xOpt''||Prob.N x k matrix with k distinct local optima, the test being ''norm''(''xk -xOpt''(:'', i'')) ''<''= ''xEqTol * max''(1'', norm''(

The TOMLAB bundle testprob provides three sets of test problems for nonlinear problems: <tt>con_prob</tt> and <tt>chs_prob</tt>. <tt>con_prob</tt> is a collection of 17 constrained nonlinear test problems with 2 to 100 variables and up to 50 constrains. In order to defin

==The Matlab Interface Routines - Test Routines==

Test of an air-crew schedule generation problem. ...eate ToDs, i.e. Tours of Duty. The function ''sectordata ''generates some test data.