The group inverse of the transformation J(X) = AX − XB

✍ Scribed by Georg Heinig

• Book ID: 104155936
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 763 KB
• Volume: 257
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(96)00165-6

✦ Synopsis

The group inverse 5,,# of the Sylvester transformation S'~(X) = AX -XB is (provided that it exists) represented in polynomial form Sa#(Y)= ~,gc,jAiYB j in terms of the minimal polynomials of A and B. In one of the representations the coefficient matrix [cij] is expressed with the help of a new class of "'derived" Hankel matrices.