Majorization and multiplier sequences

作者：Church Amber; Pereira Rajesh^*; Kribs David

来源：Linear Algebra and Its Applications, 2011, 435(9): 2132-2139.

DOI：10.1016/j.laa.2011.04.005

• Analytic theory of polynomials
• Multiplier sequences
• Majorization order

We present applications of matrix methods to the analytic theory of polynomials. We first show how matrix analysis can be used to give new proofs of a number of classical results on roots of polynomials. Then we use matrix methods to establish a new log-majorization result on roots of polynomials. The theory of multiplier sequences gives the common link between the applications.

• 出版日期2011-11-1