Majorization and multiplier sequences
Copyright policy )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.
- University of Guelph Canada
roots, Numerical Analysis, Analytic theory of polynomials, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, hyperbolic polynomials, Discrete Mathematics and Combinatorics, Geometry and Topology, Multiplier sequences, Majorization order, Real polynomials: location of zeros
roots, Numerical Analysis, Analytic theory of polynomials, Eigenvalues, singular values, and eigenvectors, Algebra and Number Theory, hyperbolic polynomials, Discrete Mathematics and Combinatorics, Geometry and Topology, Multiplier sequences, Majorization order, Real polynomials: location of zeros
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