四元数体上矩阵的广义对角化  

Generalized Diagonalization of Matrices Over Quaternion Field

作　　者：姜同松 陈丽 

机构地区：[1]山东临沂师院数学系,山东临沂276005 [2]山东临沂师院物理系,山东临沂276005

出　　处：《应用数学和力学》1999年第11期1203-1210,共8页Applied Mathematics and Mechanics

基　　金：山东省自然科学基金

摘　　要：引入了复四元数环和四元数体上矩阵可 １ ２ … ｎｉ１ ｉ２ … ｉｎ对角化的概念，研究了复四元数环上矩阵的性质，给出了四元数体上矩阵可 １ ２ … ｎｉ１ ｉ２ … ｉｎ对角化的充分必要条件和求矩阵１ ２ … ｎｉ１ ｉ２ … ｉｎ对角化的方法·A concept of 12…n i 1i 2…i n diagonalization matrix over quaternion field is given, necessary and sufficient conditions for determining whether a quaternion matrix is a 12…n i 1i 2…i n diagonalization one are discussed, and a method of 12…n i 1i 2…i n diagonalization of matrix over quaternion field is given. Key words: complex quaternion ring; quaternion field; matrix; diagonalization matrixiomass concentration of 5.52 g L -1 was obtained using carrier cultivation and carrier fed batch cultivation in the optimized seawater medium. The results showed that the carrier culture methods could not only made a high density cultivation become easy, but also get the cell recovery convenient.

关 键 词：复四元数环 四元数体 矩阵 广义对角化 

分 类 号：O151.21[理学—数学]