Developments of mathematical software libraries for the LHC experiments

This paper describes the activities performed by a working group formed with the objective to support and develop mathematical software for the high energy physics experiments of the large hadron collider (LHC). The goal is to share common mathematical libraries between the experiments and the LHC computing grid application area projects. We present the various library components and their design, with particular emphasis on fitting and minimization, describing the new object oriented implementation in C++ of the MINUIT minimization package.