Acknowledgments. This work was supported in part by the National Natural Science Foundation of China (Grant No. 10671175) and Program for New Century Excellent Talents in Universities. The first author was also supported in part by the Education Ministry of Zhejiang Province (Grant No. 20060492).
The convergence properties of Newton's method for systems of equations with constant rank derivatives are studied under the hypothesis that the derivatives satisfy some weak Lipschitz conditions. The unified converge...
This work was partially supported by the National Natural Science Foundation of China(Grant No.10671175);the Program for New Century Excellent Talents in University and the Scientific Research Fund of Hunan Provincial Education Department(Grant No.06C651)
This paper is concerned with the problem of the best restricted range approximations of complex-valued continuous functions. Several properties for the approximating set PΩ such that the classical characterization re...