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In this paper, we analyze the convergence of the sequences of infima and minima for the upper level when the data of the problem are perturbed.
It is proved that the compression of imperfection parameters seems to be a new efficient tool for the analysis of experimental data of the problem considered.
Normally the data of the problem are state functions known with a given degree of precision and in solving this problem the precision can be enhanced.
Knowing the solution from experimental measurements, what are the corrections we must apply to the data of the problem in order to make the result close as much as possible to it?
It is shown that the Carathéodory (resp., Carathéodory Fejér) problem has a solution if and only if the non-commutative polynomial with given operator coefficients (the data of the problem indexed by an admissible set Λ) takes operator values with positive semidefinite real part (resp., contractive operator values) on N-tuples of Λ-jointly nilpotent contractive n×n matrices, for all n∈N.
where the dependence of the constant C on the data of the problem is fully determined.
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Data on the problem of abortion among University students is particularly scanty [ 13].
Data of the problems and results were taken from http://neo.lcc.uma.es/vrp/vrp-instances/capacitated-vrp-instances/.
On the other hand, exact solutions of the problems may not exist in many practical problems because the data of the problems are not sufficiently 'regular'regular
Are the coefficient (q(x)) and the number h uniquely defined by the scattering data (1.5) of the problem (1.1 - 1.4)?
In Section 3, the continuous dependence upon the data of the inverse problem is shown.
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