Non-Linear Programming by Nita H. Shah;Poonam Prakash Mishra;

Author:Nita H. Shah;Poonam Prakash Mishra;
Language: eng
Format: epub
Publisher: CRC Press (Unlimited)
Published: 2020-06-15T00:00:00+00:00

3.2Conventional Methods for Constrained Multivariate Optimization

3.2.1Problems with Equality Constraints

Optimize (max or min) subject to the constraints

In matrix notation the above problem can also be written as:

subject to the constraints

 where

and ; is constant

Here it is assumed that to get the solution.

There are various methods for solving the above defined problem. But in this section, we shall discuss only two methods: (i) Direct Substitution Method and (ii) Lagrange Multiplier Method.

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