Outset of Lagrange’s multiplier method in mathematical optimization

The Lagrange multipliers are those variables which aid in constructing a Lagrange function to investigate problems on conditional extrema. In mathematical optimization, concept of Lagrange multipliers is used to find local maxima (or minima) of a function subject to equality constraints. The origin and genesis of Lagrange multiplier along with its advancements in mathematical optimization for solving various nonlinear problems are assessed in this article.