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Ito, Hisashi; Iwata, Satoru; Murota, Kazuo

Block-triangularizations of partitioned matrices under similarity/equivalence transformations. (English) Zbl 0811.15008

SIAM J. Matrix Anal. Appl. 15, No. 4, 1226-1255 (1994).
A block triangularization technique via similarity and equivalence is discussed which operates for fixed given block partitioning. The resulting technique includes the Jordan decomposition and the Dulmage/Mendelsohn decomposition [cf. A. L. Dulmage and N. S. Mendelsohn, Trans. Roy. Soc. Canada, Sect. III, Ser. 53, 1-3 (1959; Zbl 0091.375)].
Reviewer: V.Mehrmann (Chemnitz)

Cited in 10 Documents

MSC:

15A21 Canonical forms, reductions, classification
15A30 Algebraic systems of matrices

Keywords:

Jordan-Hölder theorem; modular lattices; partitioned matrix; block triangularization; similarity; equivalence; Jordan decomposition; Dulmage/Mendelsohn decomposition

Citations:

Zbl 0091.375
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