This paper presents an unified algorithm for solving systems of matrix and
block linear equations. Solving a system of block linear equations will be
interpreted as a matrix interpolation problem. This new approach gives us a
general algorithm called the matrix recursive interpolation algorithm (MRI
A), which includes block direct methods. The orthogonal version of the MRIA
will be given and denoted by OMRIA. We will also show how to choose two fr
ee parameters in the MRIA for obtaining known and new block direct methods.
(C) 1999 Elsevier Science Inc. All rights reserved.