• Generalization of Samuelson’s inequality and location of eigenvalues

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      https://www.ias.ac.in/article/fulltext/pmsc/125/01/0103-0111

    • Keywords

       

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

    • Abstract

       

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

    • Author Affiliations

       

      R Sharma1 R Saini1

      1. Department of Mathematics, H. P. University, Shimla 171 005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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