About this Mathematics article
Counterexample to a conjecture of Elsner on the spectral variation of matrices by Yves Langlois; Thomas Ransford is a Mathematics article available to read on EtoBox.
In 1985, Elsner proved that the Hausdorff distance between the spectra of two n × n matrices A and B satisfies where • denotes the operator norm with respect to the Euclidean norm on C n . He further conjectured that the same inequality holds for all operator norms. We disprove this conjecture, and also the weaker conjecture where ( A + B ) is replaced by 2 max( A , B ).
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Yves Langlois; Thomas Ransford
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0024-3795)
- Published
- 2002
- Language
- EN
- Field
- Mathematics (Physical Sciences)