TITLE:
The Graphic Derivation Process of Lagrange Multiplier Method
AUTHORS:
Wenbing Wu, Xiaojian Yuan
KEYWORDS:
Lagrange Multiplier Method, Gradient, The Gradient Descent Method, Extreme Values
JOURNAL NAME:
Open Journal of Social Sciences,
Vol.11 No.11,
November
30,
2023
ABSTRACT: The Lagrange multiplier method is an effective method for finding the
extreme values of functions, which can solve some complex mathematical and
engineering problems. The introduction of this method in the textbook is only a
simple expression, but it does not explain how this expression is derived. This
article provides a detailed derivation of the Lagrangian multiplier method
expression through graphical methods combined with the gradient principle. The
Lagrange multiplier method has important applications in various engineering
methods, and one of the closely related applications is the gradient descent
method. Therefore, after understanding the working principle of the Lagrange
multiplier method, one can deepen their understanding and mastery of related
issues in the subsequent learning process.