|
|||||
|
|
On the Matrix Equations of Higher Degrees |
|
| Abstract: | A generalm atrix equation ∑m s= 0 ∑s t= 0 XtAstXs- t= 0 in unknow n X ofdegree m is con- sidered. The solvability of the equation w ithin som e restricted subsets of n×n m atrices is dis- cussed. The m ethods offinding the set ofsolutions in the subsetfor the equation are also provid- ed. |
| Keywords: | m atrix equations com m uting relation Cauchy-Schw arz Inequality |