Supported by the National Natural Science Foundation of Tianjin (07JCYBJC05200);the Young Scholar Program of Tianjin University of Finance and Economics (TJYQ201201)
In this paper, we study the optimal investment strategy of defined-contribution pension with the stochastic salary. The investor is allowed to invest in a risk-free asset and a risky asset whose price process follows ...
supported by National Natural Science Foundation of China(Grant No. 10871144);the Natural Science Foundation of Tianjin Province (Grant No. 07JCYBJC05200)
Given a real(finite-dimensional or infinite-dimensional) Hilbert space H with a Jordan product,we consider the Lorentz cone linear complementarity problem,denoted by LCP(T,Ω,q),where T is a continuous linear operator...
Supported by the National Natural Science Foundation of China(10871144);the Natural Science Foundation of Tianjin(07JCYBJC05200)
A family of merit functions are proposed, which are the generalization of several existing merit functions. A number of favorable properties of the proposed merit functions are established. By using these properties, ...
supported by the National Natural Science Foundation of China (Grants No.10571134 and 10871144);the Natural Science Foundation of Tianjin (Grant No.07JCYBJC05200)
It is well known that the symmetric cone complementarity problem(SCCP) is a broad class of optimization problems which contains many optimization problems as special cases.Based on a general smoothing function,we pr...
Supported by the National Natural Science Foundation of China(No.10871144);the Natural Science Foundation of Tianjin(No.07JCYBJC05200)
Given a real (finite-dimensional or infinite-dimensional) Hilbert space H with a Jordan product, we introduce the concepts of ω-unique and ω-P properties for linear transformations on H, and investigate some inter...
Supported by Natural Science Foundation of Tianjin (No 09JCYBJC01800, No07JCYBJC05200);Application Mathematic Center of Liu Hui, Nankai University and Tianjin University (No2001T08)
This paper proposes a multi-period portfolio investment model with class constraints, transaction cost, and indivisible securities. When an investor joins the securities market for the first time, he should decide on ...
supported by National Natural Science Foundation of China (Grant Nos. 10571134, 10671010);Natural Science Foundation of Tianjin (Grant No. 07JCYBJC05200)
In this paper, we propose a smoothing algorithm for solving the monotone symmetric cone complementarity problems (SCCP for short) with a nonmonotone line search. We show that the nonmonotone algorithm is globally conv...