A note on improvement on bounds for nonmaximal eigenvalues of symmetric positive matrices

✍ Scribed by Xiao-Qin Liu; Ting-Zhu Huang; Ying-Ding Fu

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 95 KB
• Volume: 419
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2006.06.002

✦ Synopsis

In this work, we improve the lower and upper bounds obtained by Zhang and Luo [X. Zhang, R. Luo, Upper bound for the non-maximal eigenvalues of irreducible nonnegative matrices, Czechoslovak Math. J. 52 (127) (2002) 537-544] for the nonmaximal eigenvalue λ n-1 (A) of a symmetric positive matrix.