The purpose of this paper is to make a further study on the abstract economy. Here, for the constraint correspondences we assume that they are almost lower semi-continuous (n-lower semi-continuous), which is weaken th...The purpose of this paper is to make a further study on the abstract economy. Here, for the constraint correspondences we assume that they are almost lower semi-continuous (n-lower semi-continuous), which is weaken than that they are lower semi-continuous. Several equilibria existence theorems are proved.展开更多
On the basis of primal-dual approach, we present in this paper an interior point method that gives parametric E-approximate solutions to parametric semi-definite programming problems. The method is finite, and the num...On the basis of primal-dual approach, we present in this paper an interior point method that gives parametric E-approximate solutions to parametric semi-definite programming problems. The method is finite, and the number of its iterations is quasi-polynomially bounded.展开更多
This paper proves the local exact one-sided boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws with characteristics with constant multiplicity. This generalizes th...This paper proves the local exact one-sided boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws with characteristics with constant multiplicity. This generalizes the results in [Li, T. and Yu, L., One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws, To appear in Journal de Mathematiques Pures et Appliquees, 2016.] for a class of strictly hyperbolic systems of conservation laws.展开更多
The problem of the blind demodulation of multiuser information symbols in ahigh-rate Code Division Multiple Access (CDMA) network in the presence of InterSymbol Interference(ISI) is of considerable interest. The dispe...The problem of the blind demodulation of multiuser information symbols in ahigh-rate Code Division Multiple Access (CDMA) network in the presence of InterSymbol Interference(ISI) is of considerable interest. The dispersive CDMA channel is first cast into a Multiple-InputMultiple-Out (MIMO) signal model framework. Then , the problem of the blind channel equalization andmultiuser detection is considered. In this paper, we formulate the problem of blind channelestimation and signal detection into a quadratic programming with binary constraints. Then, theefficient ε-approximation algorithms are presented and applied to find the solution to thequadratic programming. The proposed approach does not estimate the channel directly or rely on anystatistics . Simulation results support our theoretical analysis .展开更多
文摘The purpose of this paper is to make a further study on the abstract economy. Here, for the constraint correspondences we assume that they are almost lower semi-continuous (n-lower semi-continuous), which is weaken than that they are lower semi-continuous. Several equilibria existence theorems are proved.
基金the National Natural Science Foundation of China!19871016
文摘On the basis of primal-dual approach, we present in this paper an interior point method that gives parametric E-approximate solutions to parametric semi-definite programming problems. The method is finite, and the number of its iterations is quasi-polynomially bounded.
基金supported by the National Natural Science Foundation of China(No.11501122)
文摘This paper proves the local exact one-sided boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws with characteristics with constant multiplicity. This generalizes the results in [Li, T. and Yu, L., One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws, To appear in Journal de Mathematiques Pures et Appliquees, 2016.] for a class of strictly hyperbolic systems of conservation laws.
文摘The problem of the blind demodulation of multiuser information symbols in ahigh-rate Code Division Multiple Access (CDMA) network in the presence of InterSymbol Interference(ISI) is of considerable interest. The dispersive CDMA channel is first cast into a Multiple-InputMultiple-Out (MIMO) signal model framework. Then , the problem of the blind channel equalization andmultiuser detection is considered. In this paper, we formulate the problem of blind channelestimation and signal detection into a quadratic programming with binary constraints. Then, theefficient ε-approximation algorithms are presented and applied to find the solution to thequadratic programming. The proposed approach does not estimate the channel directly or rely on anystatistics . Simulation results support our theoretical analysis .
