Kh. D. Ikramov, A. M. Nazari, “On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue”, Zap. Nauchn. Sem. POMI, 2005, Volume 323,Pages <nobr>50

On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue

Kh. D. Ikramov^a, A. M. Nazari^b

^a M. V. Lomonosov Moscow State University
^b Arak University

Abstract: An elementary proof is given for a formula for the 2-norm distance from a normal matrix $A$ to the set of matrices with a multiple zero eigenvalue. Earlier, the authors obtained this formula as an implication of a nontrivial result due to A. N. Malyshev.

UDC: 512

Received: 06.01.2005