Pre-Constraining Evolution of Parton Distributions in the Matrix Solution of Dglap

In spite of the potential advantages of the `matrix solution' to DGLAP, an instability in the set of linear decomposition equations obtained from it, when decomposing the structure function data, hinders its application. Here, we pre-constrain the solutions of the decomposition equations, based on the principle of positivity of the parton distributions and well-known facts such as the increasing nature of gluons with decreasing values of Bjorken x. Thus, reasonable solutions for evolved parton distributions may be extracted within this framework.