期刊文献+

实四元数环上矩阵的Moore-Penrose逆的计算简化(英文) 被引量:3

The Reduction for Calculating the Moore-Penrose Inverse of Quaternions Matrices
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摘要 给出了实四元数环上的矩阵的Moore -Penrose逆的计算简化 ,某些结果对四元数环上的矩阵论的一般性研究有帮助 . A reduction for calculating the Moore-Penrose inverse of a matrix over the real quaternion field Δ is given.Some results are helpful for the general research of the matrix theory over Δ as well.
机构地区 云南大学 琼州大学
出处 《云南大学学报(自然科学版)》 CAS CSCD 2001年第5期321-323,共3页 Journal of Yunnan University(Natural Sciences Edition)
关键词 实四元数环 矩阵 MOORE-PENROSE逆 计算简化 quaternion field matrix reduction Moore Penrose inverse
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参考文献4

  • 1Wang Guodong,高等学校计算数学学报,2001年,5期
  • 2Wang Guodong,湖南数学年刊,1998年,18卷,3期,41页
  • 3Zhuang Wajin,数学杂志,1986年,6卷,1期,105页
  • 4Xie Bangjie,抽象代数,1982年

同被引文献15

  • 1姜同松,魏木生.四元数矩阵的实表示与四元数矩阵方程[J].数学物理学报(A辑),2006,26(4):578-584. 被引量:19
  • 2LI Yao-tang, WU Wen-jing. Symmetric and skew - ant symmetric solutions to systems of real quaternion matrix equations [ J ]. Comput Math Appl,2008,55:1 142-1 147.
  • 3HUANG Li-ping. On two questions about quaternion matrices [ J ]. Linear Algebra Appl, 2000,318:79-86.
  • 4WU Jun-liang, ZOU Li-min, CHEN Xiang-ping, et al. The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra [ J ]. Linear Algebra Appl, 2008,428:3 023-3 033.
  • 5ZHANG Fu-zhen. Quaternions and matrices of quaternions [ J ]. Linear Algebra Appl, 1997,251 : 21-57.
  • 6李文亮.四元教矩阵[M].长沙:国防科技大学出版社.2002.
  • 7LI Yao-tang, WU Wen-jing. Symmetric and skew-ant symmetric solutions to systems of real quatemion matrix equations [J~. Comput. Math. Appl, 2008, 55: 1142 - 1147.
  • 8HUANG Li-ping. On two questions about quaternion ma- trices[ J]. Linear Algebra Appl,. 2000,318:79 - 86.
  • 9WU Jun-liang, ZOU Li-min, CHEN Xian-ping, et al. The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra [ J]. Linear. Algebra. Appl,2008 ,428 :3023 - 3033.
  • 10ZHANG Fu-zhen. Quaternions and matrices of quaterni- ons [ J ]. Linear Algebra Appl, 1997,251:21 - 57.

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