Generic iteration function

In a generic iteration, a feasible point is known together with the active variable bounds and inequality constraints. If the point is anything other than solution, a search direction must be determined to improve the objective function. In this search, all the active inequality constraints are treated as equality constraints, whereas the active bounds are used to simplify the problem. 

The most appealing alternative was proposed by Fletcher (1987). Fletcher demonstrated that if we know the exact values of the Lagrange parameters, Xj, it should be possible to use a merit function that avoids the Maratos effect. This option will be considered in Section 12.2.4. Unfortunately, the exact values of 2 are unknowns in a generic iteration and only their estimations are available therefore, the Maratos effect could also arise with such a function. 

In a generic iteration, Xj used in the function (12.23), can be quite different from the exact ones, especially when many constraints are present. Thus, the Maratos effect could occur. 

If the search is performed for an object from the lower levels, it is useful to limit the number of its iterations. For instance, suppose we want to solve a problem of maximum level that is a generic objective function bounds, linear, nonlinear equality and inequality constraints. The search for a new point that is better than the previous one can be performed with different strategies that can be used sequentially or in parallel, as required. The most important are the following ... 

As the expanded equivalent indicates the evaluation of explist must return an iterator function (the /term), a state variable (the s term) and an initial value (die var term) for the iterator variable. One of the common uses of the generic for loop is to iterate over the values of a table and perform some operation on the table values. The reader is referred to the Lua programming manual for a more complete discussion of this control structure. 

Its design versatility, as generic dendrons may be prepared to be used later as building blocks in conjunction with other reactive molecules, or coupled to a multifunctional core to afford functional dendrimers, dendritic-linear hybrids, dendronized polymers, etc. This may be a particularly significant advantage if the coupled reactive or core molecule is itself sensitive to the reaction conditions used in the multiple steps of the iterative synthesis of a dendrimer. 

The generic for statement executes over functions called iterators and has the form ... 

---