QUADRATIC FUNCTIONS IN SEVERAL VARIABLES

被引：0

作者：

Jankovic, Vladimir ^{[1
]}

机构：

[1] Univ Belgrade, Fac Math, Studentski Trg 16-4, Belgrade 11000, Serbia

来源：

TEACHING OF MATHEMATICS | 2005年 / 8卷 / 02期

关键词：

Quadratic functions in several variables; quadratic forms; extremal values; definitness; Sylvester Criterion;

D O I：

暂无

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

In secondary schools students learn to investigate the behavior of the quadratic function in one variable, and to find the point where the function reaches its extremal value. The purpose of this article is to demonstrate how the idea which is applied to functions in one variable can be extended and applied to functions in several variables. We present the procedure to determine whether a quadratic function in several variables has a minimum or a maximum, and if it has, to find points in which the extremal value is reached. This procedure leads to several theoretical results.

引用

页码：53 / 60

页数：8

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