Document Type
Article
Department/Program
Mathematics
Journal Title
Linear Algebra and Its Applications
Pub Date
2016
Volume
489
First Page
104
Abstract
Which assignments from 2n-1 arbitrary, distinct real numbers as eigenvalues of designated leading principal submatrices permit a real symmetric tridiagonal matrix? We raise this question, motivated both by known results and recent work on multiplicities and interlacing equalities in symmetric matrices whose graph is a given tree. Known results are reviewed, a general conjecture is given, and several new partial results are proved. (C) 2015 Elsevier Inc. All rights reserved.
Recommended Citation
Higgins, Vijay and Johnson, Charles, Inverse spectral problems for collections of leading principal submatrices of tridiagonal matrices (2016). Linear Algebra and Its Applications, 489, 104-122.
10.1016/j.laa.2015.10.004
DOI
10.1016/j.laa.2015.10.004
