𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On solutions of the matrix equations X−AXB=C and X−AXB=C

✍ Scribed by Tongsong Jiang; Musheng Wei

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
99 KB
Volume
367
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

This paper studies the solutions of complex matrix equations X -AXB = C and X -AXB = C, and obtains explicit solutions of the equations by the method of characteristic polynomial and a method of real representation of a complex matrix respectively.

📜 SIMILAR VOLUMES

On solutions of matrix equation AXB + CY
On solutions of matrix equation AXB + CYD = F
✍ Guiping Xu; Musheng Wei; Daosheng Zheng 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 720 KB

In this Paper, the matrix equation with two unknown matrices X. I' of form AXB + CYD = F is discussed. By applying the canonical correlation decomposition (CCD) of matrix pairs, we obtain expressions of the least-squares solutions of the matrix equation, and sufficient and necessary conditions for t

Least-squares solution with the minimum-
Least-squares solution with the minimum-norm for the matrix equation (AXB, GXH) = (C, D)
✍ An-Ping Liao; Yuan Lei 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 607 KB

Based on the projection theorem m Hfibert space, by making use of the generahzed singular value decompomtion and the canomcal correlation decomposition, an analytical expression of the least-squares solutmn for the matrix equatmn (AXB, GXH) = (C, D) with the minimum-norm is derived An algorithm for