Majorization and multiplier sequences
The authors show the potential of matrix methods to study spectral properties of hyperbolic polynomials (i.e., polynomials having only real roots), and namely to study multiplier sequences (complex-valued sequences such that coefficient-wise multiplication preserves polynomial hyperbolicity). They revisit classical results in the field and also derive majorization results on zeros of such polynomials.
scientific article; zbMATH DE number 5924577
scientific article