✦ LIBER ✦

On solutions of matrix equation AXB + CYD = F

✍ Scribed by Guiping Xu; Musheng Wei; Daosheng Zheng

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 720 KB
Volume: 279
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)10099-4

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✦ Synopsis

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 the existente and uniqueness of the solutions. We also derive a general form of the solutions. We also study the least-squares Hermitian (skew-Hermitian) solutions of equation AXAH + CYCH = F.

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