A possible solution is to draw a line tangent to the non-linear function at point P as shown in the following chart. The tangent line touches the function but does not intersect it. The slope of this ...

Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

This paper deals with the transportation problem of minimizing the ratio of two linear functions subject to a set of linear equations and non-negativity conditions on the variables (or constraints of ...

Linear and nonlinear programming are two types of optimization methods that can help you find the best solution to a problem involving decision variables, constraints, and an objective function.

Interpreting linear programming solutions means understanding the meaning and implications of the optimal values, the dual prices, the reduced costs, and the slack or surplus variables. These ...

The Gauss-Seidel method is an iterative algorithm for solving systems of linear equations, and it improves on Jacobi's method by using updated values of the solution as soon as they are available ...

In this paper, we propose a distributed method to find the solution of the linear equations Ax = b with minimum energy, i.e. the minimum weighted norm associated with the weighted inner product. We ...

The extended sinh-Gordon expansion method is intended to a generalization of the sine-Gordon expansion equation because it is based on an auxiliary equation namely the sine-Gordon equation (see ...

If the election of the achievement function is wrong, then the decision maker will probably not accept the solution. 15 Results derived from GP models usually are very sensitive to the type of ...