On the canonical structure of regular pencil of singular matrix-functions
Gaidomak Svetlana · arXiv (Cornell University) · 2010
The work is devoted to investigation of the canonical structure of regular, in domain of definition ${\cal U}\subseteq {\mathbb R}^{m}$, the pencil of matrix-functions $A(x)+λB(x)$. It is supposed that $\det A(x)\equiv 0$ and $\det B(x)\equiv 0\;\; \forall \ x \in {\cal U}$, and all roots of the characteristic equation $\det(A(x)+λB(x))=0$ with $λ=λ(x)\in C^{p}({\cal U})$, are of constant multiplicity.