正定性与二次函数的极值

数学季刊 ›› 2004, Vol. 19 ›› Issue (4): 422-425.

正定性与二次函数的极值

1.Department of Basic Course, Henan Polytechnic Institute, Nanyang 473009, China; 2.Department of Information Engineering, North China Institute of Water and Hydroetectric Power, Zhengzhou 475008, China

收稿日期:2003-10-14 出版日期:2004-12-30 发布日期:2024-03-07
作者简介:Lü Bao-xian(1965-),male,native Neixiang,Henan.a lecturer of Henan Polytechnic Institute. engages in the basic theory teaching and research.

The Extremism of Two Variable Function Based on the Positive Definite Property

1.Department of Basic Course, Henan Polytechnic Institute, Nanyang 473009, China; 2.Department of Information Engineering, North China Institute of Water and Hydroetectric Power, Zhengzhou 475008, China

Received:2003-10-14 Online:2004-12-30 Published:2024-03-07
About author:Lü Bao-xian(1965-),male,native Neixiang,Henan.a lecturer of Henan Polytechnic Institute. engages in the basic theory teaching and research.

摘要/Abstract

摘要： In this paper we give out a sufficient and solution of quadratic function’s maximum with theory of quadratic form and give out the definition of the positive definite property of the following homogeneous polynomials of degree In two variables function, based on the definite of local maximum of two variables function.

关键词:

positive , , definite , , property, quadratic , , function, two , , variable , , function, maximum, extremisni

Abstract: In this paper we give out a sufficient and solution of quadratic function’s maximum with theory of quadratic form and give out the definition of the positive definite property of the following homogeneous polynomials of degree In two variables function, based on the definite of local maximum of two variables function.

Key words: positive , , definite , , property, quadratic , , function, two , , variable , , function, maximum, extremisni

中图分类号:

O174

吕保献, 李秀丽. 正定性与二次函数的极值[J]. 数学季刊, 2004, 19(4): 422-425.

LU Bao-xian, LI Xiu-li. The Extremism of Two Variable Function Based on the Positive Definite Property[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(4): 422-425.

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