This Book provides new approach for solving systems of nonlinear equations especially large-scale systems. The chapters in this Book span a broad range of ideas on tackling the major weakness of the famous method of solving systems of nonlinear equations. The Book is organised in six(6) Chapters. A Particular highlight of this Book is its great amount of detailed less computational and storage requirement novel methods for solving large scale systems of nonlinear equations. 37 new test functions are presented in this Book. The Book should be of interest to graduate students and researcher in the field of applied sciences and Engineering.