海南师范大学学报:自然科学版2012,Vol.25Issue(1):26-27,2.
关于实对称矩阵惯性定理的新证明
New Proof of the Theorem Inertia on the Real Symmetric Matrix
时彬彬 1李仁所 2沈有建3
作者信息
- 1. 海南师范大学数学与统计学院,海南海口571158/山东农业大学信息学院数学系,山东泰安271018
- 2. 山东农业大学信息学院数学系,山东泰安271018
- 3. 海南师范大学数学与统计学院,海南海口571158
- 折叠
摘要
Abstract
Based on the connection of the real symmetric matrix and real quadratic form, two equal selected vector were introduced into real quadratic forms, according to the results and the nature of the vector group, the inertia theorem was proved concisely and clealy.关键词
实对称矩阵/二次型/等价向量组/惯性定理Key words
real symmetric matrix/quadratic form/equivalent vectors/inertia theorem分类
数理科学引用本文复制引用
时彬彬,李仁所,沈有建..关于实对称矩阵惯性定理的新证明[J].海南师范大学学报:自然科学版,2012,25(1):26-27,2.