Reliable numerical methods for polynomial matrix triangularization

0410530 - UTIA-B 20000246 RIV IT eng C - Conference Paper (international conference)
Henrion, D. - Šebek, Michael
Reliable numerical methods for polynomial matrix triangularization.
Alghero: IEEE, 1998. In: Proceedings of the Mediterranean Conference on Control and Automation IEEE., s. 1-27
[Mediterranean Conference on Control and Automation IEEE '98. Alghero (IT), 23.06.1998-27.06.1998]
R&D Projects: GA ČR GA102/97/0861
Institutional research plan: AV0Z1075907
Keywords : triangularization * polynomial matrices * numerical methods
Subject RIV: BC - Control Systems Theory

Numerical procedures are proposed for triangularizing polynomial matrices over the field of polynomial fractions and over the ring of polynomials. They are based on two standard polynomial techniques: Sylvester matrices and interpolation. In contrast to other triangularization methods, the algorithms described in this paper only rely on well-worked numerically realiable tools. They can also be used for greatest common divisor extraction.
Permanent Link: http://hdl.handle.net/11104/0130619