A new neural network for solving linear and quadratic programming prob
lems is presented and is shown to be globally convergent. The new neur
al network improves existing neural networks for solving these problem
s, that is, it avoids the parameter turning problem, is capable of ach
ieving the exact solutions, and uses only simple hardware in which no
analog multipliers for variables are required. Furthermore, the networ
k salves both the primal problems and their dual problems simultaneous
ly.