๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations

โœ Scribed by Yao-tang Li; Wen-jing Wu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
185 KB
Volume
55
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Bisymmetric and centrosymmetric solution
โœ Qing-Wen Wang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 450 KB

In this paper we consider bisymmetric and centrosymmetric solutions to certain matrix equations over the real quaternion algebra H. Necessary and sufficient conditions are obtained for the matrix equation AX = C and the following systems to have bisymmetric solutions, and the system to have centro

The general solution to a system of real
โœ Qing-Wen Wang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 565 KB

In this paper, we consider the system of matrix equations, A1X ~-C1, A2X = C2, AaXB3 = C3, and A4XB4 = C4, over the real quaternion algebra ~. A necessary and sufficient condition for the existence and the expression of the general solution to the system are given. As particular cases, the correspon

An iterative method for the symmetric an
โœ Xingping Sheng; Guoliang Chen ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 676 KB

In this paper, two efficient iterative methods are presented to solve the symmetric and skew symmetric solutions of a linear matrix equation AXB + CYD = E, respectively, with real pair matrices X and Y . By these two iterative methods, the solvability of the symmetric and skew symmetric solutions fo

An iterative method for the skew-symmetr
โœ Guang-Xin Huang; Feng Yin; Ke Guo ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 174 KB

In this paper, an iterative method is constructed to solve the linear matrix equation AXB = C over skew-symmetric matrix X. By the iterative method, the solvability of the equation AXB = C over skew-symmetric matrix can be determined automatically. When the equation AXB = C is consistent over skew-s