北京印刷学院学报
北京印刷學院學報
북경인쇄학원학보
JOURNAL OF BEIJING INSTITUTE OF GRAPHIC COMMUNICATION
2013年
6期
80-82
,共3页
对称矩阵%正定矩阵%Hessian矩阵%多元函数极值
對稱矩陣%正定矩陣%Hessian矩陣%多元函數極值
대칭구진%정정구진%Hessian구진%다원함수겁치
symmetric matrix%positive definite matrix%Hessian matrix%multivariate function extreme value problem
极值问题是应用数学的重要内容之一，针对这一问题进行了讨论，介绍了对称矩阵、正定矩阵和Hessian矩阵，针对工科类本科高等数学教材中没有介绍的三元及以上函数的极值问题和条件极值问题中驻点的进一步判别，给出了相应的判别定理，并结合具体实例，进一步展示如何运用判别定理。
極值問題是應用數學的重要內容之一，針對這一問題進行瞭討論，介紹瞭對稱矩陣、正定矩陣和Hessian矩陣，針對工科類本科高等數學教材中沒有介紹的三元及以上函數的極值問題和條件極值問題中駐點的進一步判彆，給齣瞭相應的判彆定理，併結閤具體實例，進一步展示如何運用判彆定理。
겁치문제시응용수학적중요내용지일，침대저일문제진행료토론，개소료대칭구진、정정구진화Hessian구진，침대공과류본과고등수학교재중몰유개소적삼원급이상함수적겁치문제화조건겁치문제중주점적진일보판별，급출료상응적판별정리，병결합구체실례，진일보전시여하운용판별정리。
Extreme value problem is one of the important contents in engineering advanced mathematics, This paper discusses the extreme value problem of multivariate function. The author introduces the basic knowledge of symmetric matrix, positive definite matrix and Hessian matrix etc. It gives the corresponding discriminant theorems about extreme value problem of three variables above function and the stagnation point discrimination of conditional extremum problem which have not been included in textbooks, and combines with specific examples to show how to use discriminant theorems.
