矩阵方程AX+XB=C的显式解

数学季刊 ›› 2009, Vol. 24 ›› Issue (4): 516-524.

矩阵方程AX+XB=C的显式解

1. Department of Basic Courses, Nanjing Institute of Technology2. Department of Mathematics, Nanjing Xiaozhuang College3. College of Mathematics and Computer Science, Nanjing Normal University

收稿日期:2005-12-21 出版日期:2009-12-30 发布日期:2023-06-16
作者简介: YOU Xiang-hua(1974-), male, native of Rugao, Jiangsu, a lecturer of Nanjing Institute of Technology, M.S.D., engages in computational mathematics theory; MA Sheng-rong(1978-), female, native of Nanjing, Jiangsu, a lecturer of Nanjing Xiaozhuang College, M.S.D., engagæ in computational mathematics theory; YAN Shi-jian(1944-), male, native of Nanjing, Jiangsu, a profæsor of Nanjing Normal University, M.S.D., engages in computational mathematics theory.
基金资助:

The Explicit Solution to Equation AX+XB=C in Matrices

1. Department of Basic Courses, Nanjing Institute of Technology2. Department of Mathematics, Nanjing Xiaozhuang College3. College of Mathematics and Computer Science, Nanjing Normal University

Received:2005-12-21 Online:2009-12-30 Published:2023-06-16
About author: YOU Xiang-hua(1974-), male, native of Rugao, Jiangsu, a lecturer of Nanjing Institute of Technology, M.S.D., engages in computational mathematics theory; MA Sheng-rong(1978-), female, native of Nanjing, Jiangsu, a lecturer of Nanjing Xiaozhuang College, M.S.D., engagæ in computational mathematics theory; YAN Shi-jian(1944-), male, native of Nanjing, Jiangsu, a profæsor of Nanjing Normal University, M.S.D., engages in computational mathematics theory.

摘要/Abstract

摘要： At first one of g-inverses of AI_n+I_mB^Tis given out, then the explicit solution to matrix equation AX+XB=C is gained by using the method of matrix decomposition, finally, a numerical example is obtained.

关键词: matrix equation, g-inverse, explicit solution, formulae, Jordan canonical form

Abstract: At first one of g-inverses of AI_n+I_mB^Tis given out, then the explicit solution to matrix equation AX+XB=C is gained by using the method of matrix decomposition, finally, a numerical example is obtained.

Key words: matrix equation, g-inverse, explicit solution, formulae, Jordan canonical form

中图分类号:

O151.21

尤兴华, 马圣容, 颜世建. 矩阵方程AX+XB=C的显式解[J]. 数学季刊, 2009, 24(4): 516-524.

YOU Xing-hua, MA Sheng-rong, YAN Shi-jian. The Explicit Solution to Equation AX+XB=C in Matrices [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 516-524.

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