Meanwhile, fast methods for inverting the Toeplitz matrix and computing the Toeplitz exponential multiplying a vector are exploited to reduce the complexity. Numerical examples in two and three spatial dimensions are given to illustrate the effectiveness and efficiency of the proposed scheme....
The spreadsheet examples used in this chapter do not require the use of complicated spreadsheet functions and formulae. Indeed the average function has been the main tool. However, the chapter has illustrated that having ascertained the algebraic formula for a particular technique, it is not difficu...
Prominent examples of probabilistic protocols are the KLM scheme2 for linear optical quantum gates or the entanglement purification protocols5–7 employing measurement and selection in order to increase the entanglement between subsystems. Manipulation by measurement and selection breaks the linearity of ...
Interactive techniques: these strategies necessitate human engagement throughout the optimization phase. They grant the decision-maker the ability to engage with the optimization process and offer insights on the outcomes produced by the algorithm20. Examples of interactive techniques include interactive gene...
In this paper, we give an example to show that, if $u\in C(X)\otimes M_n$ with $\det (u)=1$ then the C* exponential length of $u$ (denoted by $cel(u)$) can not be controlled by $\pi$. Moreover, in the simple inductive limit C*-algebras, similar examples exist.DOI...
Further, some sufficient conditions for finite time boundedness and passivity for uncertainties are proposed by employing zero inequalities. Finally, the enhancement of the feasible region of the proposed criteria is shown via numerical examples with simulation to illustrate the applicability and usefulness...
Contrary to the previous examples in which the foot soles are considered to be bare, i.e., the body is in direct contact with the earth, thus neglecting the capacitance between the foot soles and their image in the earth, Fig. 4.30 shows the effect of variable capacitance of the foot so...
Notable examples of a priori techniques encompass weighting methods, goal-oriented programming and lexicographic strategies18. A posteriori technique: these strategies draw from the results secured during the optimization phase. They strive to determine the Pareto optimal solutions post the completion of ...
For the more important terms of the form we will derive explicit constants which prove sharp in several examples of Sect. 4. We close with a remark on notation. Throughout this text, we write to mean that there exists a constant , which is independent of the main quantities of interest ...
Finally, the enhancement of the feasible region of the proposed criteria is shown via numerical examples with simulation to illustrate the applicability and usefulness of the proposed method. Keywords: LMIs; Markovian jumping systems; Leakage delay; Bidirectional associative memory; D...