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Example text

5) and in a similar way we shall define d2 . 1 ; 2 /. These extended distances describe the topology of the uniform convergence. T / Rn , in the continuous case. Observe that ˘ is a real linear space for the componentwise operations and it is not connected in the general case as the sets of parameters with bounded and unbounded constraints data sets are complementary open cones. Qualitative stability analysis provides conditions under which sufficiently small perturbations of the nominal problem provoke small changes in the optimal value, the optimal set, and the feasible set.

0:68559; 0:68559/ 2 F , and so on. Observe that this algorithm generates feasible and unfeasible iterates so that termination can be produced at a feasible approximate solution. t 3/2 , and estimating the number of active indices at the minimum, in our case 1 or 2 (the maximum number of active indices at the boundary of F ). 13). ). c 0 xk /1 kD1 are nonincreasing. xk / is only possible whenever T is a compact interval in R and a1 . / ; : : : ; an . / ; b . T / (the class of analytic functions on T , which contains the polynomial functions), in which case P is said to be analytic.

We also examine the consistency of PR and its numerical tractability. t. v; w/ W T ! Rn R represents a selection of a given uncertain set-valued mapping U W T Ã RnC1 (in short, u 2 U ). t / RnC1 for all t 2 T . t; ut / W ut 2 Ut ; t 2 T g. t. 1) where the uncertain constraints are enforced for every possible S value of the data within the prescribed uncertainty set gph U . t. 3) respectively. 1. 1 with c D . 1 Uncertain Constraints 41 for the rounding errors caused by the subroutines providing approximate values of the LHS coefficients corresponding to indices t 2 0; 2 ).

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A formula for the error of finite sinc-interpolation over a finite interval by Berrut J.

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