摘要
ＳｃｈｍｉｄｔＤｅｃｏｍｐｏｓｉｔｉｏｎｏｆＱｕａｔｅｒｎｉｏｎＭａｔｒｉｘａｎｄｔｈｅＯｒｔｈｏｎｏｒｍａｌｉｚａｔｉｏｎｏｆＶｅｃｔｏｒｓｉｎａＧｅｎｅｒａｌｉｚｅｄＵｎｉｔａｒｙＳｐａｃｅＷａｎｇＱｉｎｇｗｅｎ（Ｄｅｐｔ．ｏｆＭａｔｈ．，Ｃｈａ...
In this paper we derive a practical method of solving simultaneously the problem of Schmidt decomposition of quaternion matrix and the orthonormalization of vectors in a generalized unitary space by using elementary column operations on matrices over the quaternion field.
关键词
四元数矩阵
SChmiDt分解
广酉空间
何量组
标准
quaternion matrix
Schmidt decomposition
generalized unitary space
(generalized)positive upper matrix
