lagrange multiplier example

The Lagrange multiplier method (Lagrange Multiplier) and Kkt (Karush-kuhn-tucker) conditions are important methods for solving constrained optimization problems, using Lagrange multiplier method when there are equality constraints

The basic Lagrange multiplier method is to find the function f (x1,x2,...) In G (x1,x2,...) The method of =0 the extremum under constrained conditions .Main idea: The introduction of a new parameter λ (Lagrange multiplier), the constraints of the function and the original function together, so that can be matched with

Topic Links: Codeforces Round #118 (Div. 1) A Mushroom scientistsTest instructions: Refinement is to seek f (x, Y, z) =x^a*y^b*z^b, the ternary function in the (0Ideas:Stricter also proves that the value taken at the boundary is smaller than the extremum.Note:%.10LF look at the output of the topicAC Code:#include Codeforces Round #118 (Div. 1) A Mushroom scientists (multivariate function extremum problem + Lagrange

", stdin); AFreopen ("Bicycling.out","W", stdout); - #endif -scanf"%D%LF",n,E); the for(intI=1; i){ -scanf"%LF%LF%LF",s[i],k[i],v[i]); - if(s[i]==0.0) i-=1, n-=1; - } + Doublel=-1000.0, r=0.0, tot; - for(intt=1; t -; t++){ +Lam= (L+R)/2.0; tot=0.0; A for(intI=1; i){ at DoubleLo=max (V[i],0.0), hi=1e20; - for(intj=1; j -; j + +){ - Doublex= (Lo+hi)/2.0; - if(2*lam*k[i]*x*x* (X-v[i]) +1>0) -lo=X; -