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On a generalized Jordan normal form of an infinite upper triangular matrix
(Taylor & Francis Ltd, United Kingdom, 2019)
Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.
Nonsingular acyclic matrices with full number of P-vertices
(Taylor & Francis Ltd, 2013)
We classify the trees for which there is a nonsingular matrix where each vertex is a P-vertex. In particular, we show that such trees have an even number of vertices. Both results provide answers to questions proposed by ...