The inverse of an algebraic structured matrix by tearing method, with statistical applications

الملخص EN

In this paper, the work of Gabbara (1994) is extended to a more complicated algebraic structured matrix.

The inverse of the considered algebraic structured matrix, by using the tearing method is demonstrated along with the 23 special cases, which are resulted out of the general case.

Applications of the results to the covariance matrices of certain linear statistical models will also be discussed.

The calculations are considerably simplified.