A Further Study of the System of Matrix Equations over a Skew Field

数学季刊 ›› 1994, Vol. 9 ›› Issue (4): 22-30.

A Further Study of the System of Matrix Equations over a Skew Field

Dept. of Math.,Changuei Teachers College,Werfang,261043; Dept. of Math.,Shandomg Teuchers University,Jwan,250014

收稿日期:1994-05-07 出版日期:1994-12-30 发布日期:2025-04-08

A Further Study of the System of Matrix Equations over a Skew Field

Dept. of Math.,Changuei Teachers College,Werfang,261043; Dept. of Math.,Shandomg Teuchers University,Jwan,250014

Received:1994-05-07 Online:1994-12-30 Published:2025-04-08

摘要/Abstract

摘要： Let P,Qand Q be an arbitrary skew field,a skew field with an involutorial antiautomorphism, a strong p-division ring,respectively.This paper is sequel to[1].A practical method of finding the general solution of the system of matrix equations over F ... presented.The necessary and sufficient conditions for the existence of and the explicit expressions for the self-conjugate matrix solution over Q,the positive semidefinite self-conjugate matrix solution over Q of the system are derived.

关键词: , skew field, strong p-division ring, self-conjugate matrix, system of matrix cquations, basic solution matrix

Abstract: Let P,Qand Q be an arbitrary skew field,a skew field with an involutorial antiautomorphism, a strong p-division ring,respectively.This paper is sequel to[1].A practical method of finding the general solution of the system of matrix equations over F ... presented.The necessary and sufficient conditions for the existence of and the explicit expressions for the self-conjugate matrix solution over Q,the positive semidefinite self-conjugate matrix solution over Q of the system are derived.

Key words: , skew field, strong p-division ring, self-conjugate matrix, system of matrix cquations, basic solution matrix

中图分类号:

O151

王卿文, 王德胜. A Further Study of the System of Matrix Equations over a Skew Field[J]. 数学季刊, 1994, 9(4): 22-30.

Wang Qingwen, Wan Desheng. A Further Study of the System of Matrix Equations over a Skew Field[J]. Chinese Quarterly Journal of Mathematics, 1994, 9(4): 22-30.

[1]	林娟, 王传荣. 开口弧上核密度属H*的Cauchy奇异积分的稳定性[J]. 数学季刊, 2010, 25(2): 220-227.
[2]	. [J]. 数学季刊, 2005, 20(3): 232-237.
[3]	孙清滢. 求解无约束非线性规划问题的一个新的重开始共轭梯度算法的收敛性[J]. 数学季刊, 2003, 18(2): 154-162.
[4]	程燕. 不动点定理在奇摄动非线性初值问题的套层解中的应用[J]. 数学季刊, 2003, 18(1): 103-107.
[5]	欧阳成, 韩祥临. 非线性方程奇摄动问题的激波解[J]. 数学季刊, 2002, 16(4): 27-33.
[6]	许勇, 石雄辉, 王顺利, 师义民. NA样本下截断型分布族参数的经验Bayes估计[J]. 数学季刊, 2002, 16(4): 43-47.
[7]	李登峰, 战阴伟 . 紧框架的一个注记[J]. 数学季刊, 2002, 16(4): 48-51.
[8]	冶成福, 张淑敏, 火博丰 . 与lK₁ ∪ (∪C_ui)的补图有相同色划分的图[J]. 数学季刊, 2002, 16(4): 52-56.
[9]	何楚宁 . 两类矩阵方程有亚半正定解的充要条件[J]. 数学季刊, 2002, 16(4): 62-68.
[10]	李林, 徐琛梅 . 一类非线性微分方程系统周期解的性[J]. 数学季刊, 2002, 16(4): 69-77.
[11]	杜炜 . 二阶非线性微分方程的振动性[J]. 数学季刊, 2002, 16(4): 87-93.
[12]	周桂云. 离散边值问题多重正解的存在性[J]. 数学季刊, 2002, 16(4): 99-104.
[13]	陈卫红, 曾洪杰. Galois环对Z_m环上一类逻辑函数的分析[J]. 数学季刊, 2002, 16(4): 105-110.
[14]	张福利 . 关于超半素环和超半素根的注记[J]. 数学季刊, 2002, 16(3): 105-106.
[15]	李东亚, 张诚一. 半环上Fuzzyk-理想的再定义[J]. 数学季刊, 2002, 16(3): 93-97.

A Further Study of the System of Matrix Equations over a Skew Field

A Further Study of the System of Matrix Equations over a Skew Field

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价