吉林大学学报（理学版）2012，Vol.50Issue(1)：59-62,4.
k-广义Hermite矩阵及其在矩阵方程中的应用
k-Generalized Hermite Matrices and Their Application in Matrix Equation
摘要
Abstract
The concept of k-generalized Hermite matrix was given, and its properties and relations to unitary matrix, Hermite matrix, Hamilton matrix and generalized inverse matrix, and its matrix equation of application were discussed, with many new results obtained. The corresponding results of unitary matrix, Hermite matrix and generalized symmetric matrix, especially the Cayley decomposition of orthogonal matrix to k-generalized unitary matrix and k-generalized Hermite matrix were extended, unifying various kinds of Hermite matrix and generalized inverse matrix.关键词
k-广义Hermite矩阵/酉矩阵/广义逆矩阵/辛矩阵/矩阵方程Key words
k-generalized Hermite matrix/ unitary matrix/ generalized inverse matrix/ symplectic matrix/ matrix equation分类
数理科学引用本文复制引用
袁晖坪,王行荣..k-广义Hermite矩阵及其在矩阵方程中的应用[J].吉林大学学报（理学版）,2012,50(1):59-62,4.基金项目
重庆市自然科学基金(批准号:CSTS2005BB0243)和重庆市教委科技项目基金(批准号:KJ0707023). （批准号:CSTS2005BB0243）
