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B  Result - the Output Cluster

The results of the optimization attempts are stored in a structure array named Result. The currently defined fields in the structure are shown in Table 17.

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Table 17: Information stored in the optimization result structure Result.

Field	Description
Name	Problem name.
P	Problem number.
probType	TOMVIEW problem type, according to Table 1.
Solver	Solver used.
SolverAlgorithm	Solver algorithm used.
solvType	TOMVIEW solver type.
ExitFlag	0 if convergence to local min. Otherwise errors.
ExitText	Text string describing the result of the optimization.
Inform	Information parameter, type of convergence.
CPUtime	CPU time used in seconds.
REALtime	Real time elapsed in seconds.
Iter	Number of major iterations.
MinorIter	Number of minor iterations (for some solvers).
maxTri	Maximum rectangle size.
FuncEv	Number of function evaluations needed.
GradEv	Number of gradient evaluations needed.
HessEv	Number of Hessian evaluations needed.
ConstrEv	Number of constraint evaluations needed.
ConJacEv	Number of constraint Jacobian evaluations needed.
ConHessEv	Number of nonlinear constraint Hessian evaluations needed.
ResEv	Number of residual evaluations needed (least squares).
JacEv	Number of Jacobian evaluations needed (least squares).
x_k	Optimal point.
f_k	Function value at optimum.
g_k	Gradient value at optimum.
B_k	Quasi-Newton approximation of the Hessian at optimum.
H_k	Hessian value at optimum.
y_k	Dual parameters.
v_k	Lagrange multipliers for constraints on variables, linear and nonlinear constraints.
r_k	Residual vector at optimum.
J_k	Jacobian matrix at optimum.
Ax	Value of linear constraints at optimum.
c_k	Value of nonlinear constraints at optimum.
cJac	Constraint Jacobian at optimum.
x_0	Starting point.
f_0	Function value at start i.e. f(x_0).
c_0	Value of nonlinear constraints at start.
Ax0	Value of linear constraints at start.
xState	State of each variable, described in Table 18.
bState	State of each linear constraint, described in Table 19.
cState	State of each general constraint, described in Table 20.

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The field xState describes the state of each of the variables. In Table 18 the different values are described. The different conditions for linear constraints are defined by the state variable in field bState. In Table 19 the different values are described.

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Table 18: The state variable xState for the variable.

Value	Description
0	A free variable.
1	Variable on lower bound.
2	Variable on upper bound.
3	Variable is fixed, lower bound is equal to upper bound.

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Table 19: The state variable bState for each linear constraint.

Value	Description
0	Inactive constraint.
1	Linear constraint on lower bound.
2	Linear constraint on upper bound.
3	Linear equality constraint.

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Table 20: The state variable cState for each nonlinear constraint.

Value	Description
0	Inactive constraint.
1	Nonlinear constraint on lower bound.
2	Nonlinear constraint on upper bound.
3	Nonlinear equality constraint.

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Table 21: Information stored in the structure Result.LS.

Field	Description
SSQ	rkT rk.
Covar	Covariance matrix (inverse of JkT Jk).
sigma2	Estimate of squared standard deviation.
Corr	Correlation matrix (normalized covariance matrix).
StdDev	Estimated standard deviation in parameters.
x	The optimal point x_k.
ConfLim	95% confidence limit (roughly) assuming normal distribution
	of errors.
CoeffVar	Coefficients of variation of estimates.

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