Generalization of Samuelson’s inequality and location of eigenvalues

Proceedings Mathematical Sciences

R Saini¹  R Sharma² 

[1] $$;Department of Mathematics, H. P. University, Shimla 00, India$$

关键词: Maximum deviation;    central moments;    Hermitian matrix;    eigenvalues;    condition number;    polynomial;    roots.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We prove a generalization of Samuelson’s inequality for higher order central moments. Bounds for the eigenvalues are obtained when a given complex 𝑛 × 𝑛 matrix has real eigenvalues. Likewise, we discuss bounds for the roots of polynomial equations.

【 授权许可】

Unknown