Miniversal deformations of observable marked matrices | Zendy

Compta Albert | Zendy; Ferrer Josep | Zendy; Peña Marta | Zendy

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Miniversal deformations of observable marked matrices

Author(s) -

Compta Albert,

Ferrer Josep,

Peña Marta

Publication year - 2013

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2780

Subject(s) - observable , subspace topology , mathematics , dimension (graph theory) , invariant (physics) , pure mathematics , orbit (dynamics) , invariant subspace , deformation (meteorology) , set (abstract data type) , mathematical analysis , mathematical physics , linear subspace , physics , quantum mechanics , computer science , meteorology , engineering , aerospace engineering , programming language

Given the set of vertical pairs of matrices M ⊂ M m , n( C ) × M n( C ) keeping the subspaceC d × { 0 } ⊂ C ninvariant, we compute miniversal deformations of a given pair when it is observable, and the subspaceC d × { 0 } is marked. Moreover, we obtain the dimension of the orbit, characterize the structurally stable vertical pairs, and study the effect of each deformation parameter. Copyright © 2013 John Wiley & Sons, Ltd.

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