RECURSIVE SOLUTION OF CERTAIN STRUCTURED LINEAR SYSTEMS.

We provide explicit representations of the null space S of adjoints of companion-related matrices and of certain rectangular generalized Vandermonde matrices of block Toeplitz type which are encountered in the Fisher information matrix of time series processes. A formula for the right-inverse of this class of matrices A is provided which allows one to express the solution of the system Ax = b as x = A-b+ S. The formulas can be easily turned into solution algorithms. [ABSTRACT FROM AUTHOR]