By using Fukushima's differentiable merit function,Taji,Fukushima and Ibaraki have given a globally convergent modified Newton method for the strongly monotone variational inequality problem and proved their metho...By using Fukushima's differentiable merit function,Taji,Fukushima and Ibaraki have given a globally convergent modified Newton method for the strongly monotone variational inequality problem and proved their method to be quadratically convergent under certain assumptions in 1993.In this paper a hybrid method for the variational inequality problem under the assumptions that the mapping F is continuously differentiable and its Jacobian matrix Δ F(x) is positive definite for all x∈S rather than strongly monotone and that the set S is nonempty,polyhedral,closed and convex is proposed.Armijo type line search and trust region strategies as well as Fukushima's differentiable merit function are incorporated into the method.It is then shown that the method is well defined and globally convergent and that,under the same assumptions as those of Taji et al.,the method reduces to the basic Newton method and hence the rate of convergence is quadratic.Computational experiences show the efficiency of the proposed method.展开更多
The simulation of quantum cryptography on classical computers is discussed inthis paper. The methods to express the preparation and measurement of quantum states on currentcomputers are given and the basic algorithms ...The simulation of quantum cryptography on classical computers is discussed inthis paper. The methods to express the preparation and measurement of quantum states on currentcomputers are given and the basic algorithms for simulating the quantum key distribution protocolsare presented. All the simulating results of each protocol are given and compared with the theoreticone. It is shown that the simulation results are completely tallied with the theoretic one.展开更多
The electrochemical behavior of ionizable drugs (Amitriptyline, Diphenhydramine and Trihexyphene- dyl) at the water/1,2-dichloroethane interface with the phase volume ratio (r = Vo/Vw) equal to 1 are investigated by c...The electrochemical behavior of ionizable drugs (Amitriptyline, Diphenhydramine and Trihexyphene- dyl) at the water/1,2-dichloroethane interface with the phase volume ratio (r = Vo/Vw) equal to 1 are investigated by cyclic voltammetry. The system is composed of an aqueous droplet supported at an Ag/AgCl disk electrode and it was covered with an organic solution. In this manner, a conventional three-electrode potentiostat can be used to study the ionizable drugs transfer process at a liquid/liquid interface. Physicochemical parameters such as the formal transfer potential, the Gibbs energy of transfer and the standard partition coefficients of the ionized forms of these drugs can be evaluated from cyclic voltammograms obtained. The obtained results have been summarized in ionic partition diagrams, which are a useful tool for predicting and interpreting the transfer mechanisms of ionizable drugs at the liquid/liquid interfaces and biological membranes.展开更多
This paper presents sensitivity analysis for parameterized variational inequality problems (VIP). Under appropriate assumption, it is shown that the perturbed solution to parameterized VIP is existent, unique, continu...This paper presents sensitivity analysis for parameterized variational inequality problems (VIP). Under appropriate assumption, it is shown that the perturbed solution to parameterized VIP is existent, unique, continuous and differentiable with respect to perturbation parameter. In the case of differentiability, we derive the equations for calculating the derivative of solution variables with respect to the perturbation parameters.展开更多
基金Project supported by the National Natural Science Foundation of China (1 9971 0 65)
文摘By using Fukushima's differentiable merit function,Taji,Fukushima and Ibaraki have given a globally convergent modified Newton method for the strongly monotone variational inequality problem and proved their method to be quadratically convergent under certain assumptions in 1993.In this paper a hybrid method for the variational inequality problem under the assumptions that the mapping F is continuously differentiable and its Jacobian matrix Δ F(x) is positive definite for all x∈S rather than strongly monotone and that the set S is nonempty,polyhedral,closed and convex is proposed.Armijo type line search and trust region strategies as well as Fukushima's differentiable merit function are incorporated into the method.It is then shown that the method is well defined and globally convergent and that,under the same assumptions as those of Taji et al.,the method reduces to the basic Newton method and hence the rate of convergence is quadratic.Computational experiences show the efficiency of the proposed method.
文摘The simulation of quantum cryptography on classical computers is discussed inthis paper. The methods to express the preparation and measurement of quantum states on currentcomputers are given and the basic algorithms for simulating the quantum key distribution protocolsare presented. All the simulating results of each protocol are given and compared with the theoreticone. It is shown that the simulation results are completely tallied with the theoretic one.
文摘The electrochemical behavior of ionizable drugs (Amitriptyline, Diphenhydramine and Trihexyphene- dyl) at the water/1,2-dichloroethane interface with the phase volume ratio (r = Vo/Vw) equal to 1 are investigated by cyclic voltammetry. The system is composed of an aqueous droplet supported at an Ag/AgCl disk electrode and it was covered with an organic solution. In this manner, a conventional three-electrode potentiostat can be used to study the ionizable drugs transfer process at a liquid/liquid interface. Physicochemical parameters such as the formal transfer potential, the Gibbs energy of transfer and the standard partition coefficients of the ionized forms of these drugs can be evaluated from cyclic voltammograms obtained. The obtained results have been summarized in ionic partition diagrams, which are a useful tool for predicting and interpreting the transfer mechanisms of ionizable drugs at the liquid/liquid interfaces and biological membranes.
基金This research is partially supported by Key Laboratory of Management, Decision and Information Systems,CAS and National Science Foundations of China.
文摘This paper presents sensitivity analysis for parameterized variational inequality problems (VIP). Under appropriate assumption, it is shown that the perturbed solution to parameterized VIP is existent, unique, continuous and differentiable with respect to perturbation parameter. In the case of differentiability, we derive the equations for calculating the derivative of solution variables with respect to the perturbation parameters.
