In this paper we are analyzing the performance of multi layer feed forward Neural Networks with Gradient descent with momentum & adaptive back propagation (TRAINGDX) and BFGS quasi-Newton back propagation (TRAINBFG) for Hand written Hindi Characters of SWARS. In this analysis, five Hand written Hindi characters of SWARS from different people are collected and stored as an image. The MATLAB function is used to determine the densities of these scanned images after partitioning the image into 16 portions. These 16 densities for each character are used as an input pattern for the two different Neural Network architectures. The two learning rules as the variant of Back Propagation learning algorithm are used to train these Neural Networks. The performances of these two Neural Networks are analyzed for convergence and trends of error in the case of non convergence. There are some interesting and important observations have been considered for trends of error in the case of non convergence. The inheritance of local minima problem of back propagation algorithm is effecting massively to these two proposed learning algorithm also. Keywords: Back propagation Algorithm, Multilayer Neural Networks, Gradient Descent, and Pattern Recognition.