Applications of QZ decomposition

Abstract

The QZ decomposition algorithm is extended to solve some incosistently linear systems and singular consistently linear systems in this paper. Hence some parallel algorithms for least squares problems and underdetermined systems are established. A new approach to the generalized least squares problems with full rank is also suggested.

Keywords:

• QZ decomposition
• least squares problems
• underdetermined systems
• parallel algorithms
• generalized least squares problems

C.R. CATEGORIES:

• G.1.3

AMS Subject Classifications:

• 65F10