Minimal factorization of rational matrices
(1979) Proceedings 17th IEEE CDC — Location: San Diego, CA
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- Abstract
- A factorization of a regular rational matrix R(¿) = R1 (¿)R2 (¿) is said to be minimal if the degrees ¿1 and ¿2 of the two factors add up to the degree ¿ of R(¿). This problem has been studied earlier and it is known that in general nontrivial (i.e. ¿1¿0 and ¿2;¿0) factorizations may not exist [1]. Recently [2-3] a geometric approach using state-space representations yielded simple existence conditions for general minimal factorizations. In this paper we follow a more practical approach and focus on numerical and algorithmic aspects. Since the two points of view complement each other we briefly recall the main results of [3] from a system theoretical perspective.
- Affiliations
KULeuven Comp. Sc.
Citations
Van Dooren, P., & Dewilde, P. (1979). Minimal factorization of rational matrices. Proceedings 17th IEEE CDC, San Diego, CA. https://hdl.handle.net/2078.5/225679