Determinantal representations of hyperbolic forms via weighted shift matrices
type: Item
instance of: scholarly article
title: Determinantal representations of hyperbolic forms via weighted shift matrices
zbMATH Open document ID: 1338.15048
author: Mao-Ting Chien
author: Hiroshi Nakazato
published in: Applied Mathematics and Computation
publication date: 2016-06-23T00:00:00Z
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 65F99
zbMATH DE Number: 6597263
zbMATH Keywords: determinantal representation
zbMATH Keywords: hyperbolic form
zbMATH Keywords: weighted shift matrix
zbMATH Keywords: numerical range
MaRDI profile type: Publication
full work available at URL: j.amc.2015.02.019
OpenAlex ID: W2041000742
cites work: The numerical radius of a weighted shift operator with geometric weights
cites work: Construction of determinantal representation of trigonometric polynomials
cites work: Determinantal representation of trigonometric polynomial curves via Sylvester method
cites work: Hyperbolic forms associated with cyclic weighted shift matrices
cites work: Singular points of cyclic weighted shift matrices
cites work: Singular points of the algebraic curves of symmetric hyperbolic forms
cites work: The numerical radii of weighted shift matrices and operators
cites work: Geometry of the numerical range of matrices
cites work: Pencils of real symmetric matrices and real algebraic curves
cites work: Weighted shift matrices: unitary equivalence, reducibility and numerical ranges
cites work: Detecting rigid convexity of bivariate polynomials
cites work: The Numerical Radius of a Nilpotent Operator on a Hilbert Space
cites work: Linear matrix inequality representation of sets
cites work: Über den Wertevorrat einer Matrix
cites work: Differential equations, difference equations and matrix theory
cites work: Determinantal representations of hyperbolic curves via polynomial homotopy continuation
cites work: Determinantal representations of hyperbolic plane curves: an elementary approach
cites work: The Numerical Range of a Weighted Shift
cites work: Numerical ranges of weighted shift matrices with periodic weights
cites work: Q3686661
DOI: 10.1016/J.AMC.2015.02.019
description: scientific article; zbMATH DE number 6597263