NEW PROGRESS IN THE RESEARCH ON ABS SOFTWARE,ABSDLL01 & WinABS01

The ABS class of algorithms is one of projection algorithms for solving systems of linear and nonlinear equations. It has become a quite large and powerful class of algorithms covering most of iterative and/or projection algorithms for solving linear and nonlinear systems of equations and for the application to optimization. Some FOTRAN codes (subroutines, solvers) used in scientific computation have been made up, for instance, based on the powerful software LAPACK. In the last ten years, computer science including numerical computation and engineering has been being developed fast so that we must adapt our research on software of ABS algorithms to the new development. ABS algorithm research team has made feasibility study and experience about ABS algorithms using the language C++. The author is a member of this international team for making this research. The work, due to the author, presented in this dissertation is a part of the work for the project officially subscribed by governments of China and Italy for the collaboration in developing software of ABS algorithms ABSPACK. The main results is listed as follows:?ABS SOFTWARE dynamic link library ABSDLL01, research and experiments in inner structure?ABS SOFTWARE interface WinABS01?Linking ABSDLL01 and WinABSOl, and linking other softwares The inner structure is a dynamic link library constituted by ABS algorithms in C++, and it concentrates vector class, matrix class and ABS algorithms. Develop interface by using VC++ to provide users a flexible visual available interface.