Construction of determinantal representation of trigonometric polynomials

DOI10.1016/j.laa.2011.03.012zbMath1222.15008OpenAlexW1983748017MaRDI QIDQ551283

Hiroshi Nakazato, Mao-Ting Chien

Publication date: 15 July 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.012

zbMATH Keywords

Hermitian matricesreal symmetric matricestrigonometric polynomialdeterminantal representationhyperbolic polynomialBézoutian matrixreal ternary homogeneous polynomial

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (6)

Determinantal representations of hyperbolic forms via weighted shift matrices ⋮ Determinantal representation of trigonometric polynomial curves via Sylvester method ⋮ The boundary of higher rank numerical ranges ⋮ Critical values for higher rank numerical ranges associated with roulette curves ⋮ Singular points of the algebraic curves of symmetric hyperbolic forms ⋮ Elliptic modular invariants and numerical ranges

Cites Work

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