Least-squares solution with the minimum-norm for the matrix equation (AXB, GXH) = (C, D)

✍ Scribed by An-Ping Liao; Yuan Lei

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 607 KB
• Volume: 50
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2005.02.011

✦ Synopsis

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 finding the minimum-norm solutmn is described and some numerical results have been given (~) 2005 Elsewer Ltd All r~ghts reserved