The recursive inverse eigenvalue problem

Authors
Arav, M Hershkowitz, D Mehrmann, V Schneider, H
Citation
M. Arav et al., The recursive inverse eigenvalue problem, SIAM J MATR, 22(2), 2000, pp. 392-412
Citations number
14
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
ISSN journal
08954798 → ACNP
Volume
22
Issue
2
Year of publication
2000
Pages
392 - 412
Database
ISI
SICI code
0895-4798(20000920)22:2<392:TRIEP>2.0.ZU;2-H
Abstract
The recursive inverse eigenvalue problem for matrices is studied, where for each leading principal submatrix an eigenvalue and associated left and rig ht eigenvectors are assigned. Existence and uniqueness results as well as e xplicit formulas are proven, and applications to nonnegative matrices, Z-ma trices, M-matrices, symmetric matrices, Stieltjes matrices, and inverse M-m atrices are considered.