Authors: Kazem Ghanbari
Publish Date: 2006/07/11
Volume: 10, Issue: 4, Pages: 721-729
Abstract
We denote the spectrum of an square matrix A by σA and that of the matrix obtained by deleting the first i rows and columns of A by σ i A It is known that a symmetric pentadiagonal oscillatory SPO matrix may be constructed from σ σ1 and σ2 The pairs σ σ1 and σ1 σ2 must interlace the construction is not unique and the conditions on the data which ensure that A is oscillatory are extremely complicated Given one SPO matrix A the paper shows that operations may be applied to A to construct a family of such matrices with σ and σ1 in common Moreover given one totally positive TP matrix A we construct a family of TP matrices with σ σ1 and σ2 in common
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