Sentence examples for bound condition from inspiring English sources

The results are based on a differential-algebraic representation of rational systems and a modified sector bound condition to deal with the saturation effects.

The unforced nonlinear system is represented by differential-algebraic equations which are linear with respect to the state and algebraic vectors, and the saturation nonlinearity is modelled by a sector bound condition.

We study the superlinear convergence rate of the new method if in addition a certain error bound condition holds.

It is known that the local error bound condition given in (4.1) is weaker than the nonsingular.

Relaxing the nonsingularity assumption, the literature [16] proposed a modified version for the method by changing the projection way, and showed that under the local error bound condition which is weaker than nonsingularity, the proposed method converges superlinearly to the solution of problem (1.1).

Indeed, in PVD case it is concluded that, because of the different Si and Ge surface diffusivity, Si NWs growth needs a temperature very much higher than the Au-Si eutectic temperature, whereas Ge NWs growth is essentially limited by the eutectic temperature in such a way that thermodynamics sets a lower bound condition.

Using this molecular recognition approach, we identified an aptamer (M9-5) that differentially bound conditioned media from cancerous and non-cancerous human pancreatic cell lines.

Compared with the existing gradient methods for solving such problems, the new methods possess a linear convergence rate under some error bound conditions.

But the painful past experience is bound to condition the coming response.

We highlight and compare the practical performance of the derived perturbation bound and condition number through a numerical example.

Similarly, in Theorem 3.1, without the lower bound -closed condition for the values of the mapping, then Theorem 3.1 (part (2)) may be failed.