A matrix in the block Schwarz form and the stability of matrix polynomials

A matrix which consists of block elements is established in the block Schwarz form via a linear transformation. The transformation matrix constructed by Chen and Chu is modified and extended for transforming the block companion form to the block Schwarz form. A sufficient condition is derived for determining the stability of a multivariable system whose characteristics are expressed by a matrix polynomial. The matrix polynomial may or may not be symmetric.