The Discrete Lagrangian Theory and Its Application to Solve Nonlinear Discrete Constrained Optimization Problems Table of Contents Chapter 1 Introduction

@inproceedings{Wu1998TheDL,
  title={The Discrete Lagrangian Theory and Its Application to Solve Nonlinear Discrete Constrained Optimization Problems Table of Contents Chapter 1 Introduction},
  author={Zhe Wu and Wu Zhe and Yi Shang},
  year={1998}
}
In this research we present new results on discrete Lagrangian methods (DLM) and extend our previous (incomplete and highly simpli ed) theory on the method. Our proposed method forms a strong mathematical foundation for solving general nonlinear discrete optimization problems. Speci cally, we show for continuous Lagrangian methods the relationship among local minimal solutions satisfying constraints, solutions found by the rst-order necessary and second-order sufcient conditions, and saddle… CONTINUE READING