Schmidt  Decomposition  of  Quaternion  Matrix   and  the Orthonormalization of Vectors in a Generalized Unitary Space

数学季刊 ›› 1996, Vol. 11 ›› Issue (4): 30-37.

Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space

Dept. of Math.,Changwei Teachers College,Weifang,261043;Dept. of Basic Sciences,Shandong Finance College,Jinan,250014

收稿日期:1995-07-05 出版日期:1996-12-30 发布日期:2024-12-18

Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space

Dept. of Math.,Changwei Teachers College,Weifang,261043;Dept. of Basic Sciences,Shandong Finance College,Jinan,250014

Received:1995-07-05 Online:1996-12-30 Published:2024-12-18

摘要/Abstract

摘要： 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: , quaternion matrix, Schmidt decomposition, generalized unitary space, (generalized) positive upper matrix

Abstract: 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.

Key words: , quaternion matrix, Schmidt decomposition, generalized unitary space, (generalized) positive upper matrix

中图分类号:

O151

王卿文, 林春艳. Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space[J]. 数学季刊, 1996, 11(4): 30-37.

Wang Qingwen, Lin Chunyan. Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(4): 30-37.

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Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space

Schmidt Decomposition of Quaternion Matrix and the Orthonormalization of Vectors in a Generalized Unitary Space

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