Determinantal representation of trigonometric polynomial curves via Sylvester method

DOI10.15352/bjma/1381782099zbMath1283.15025OpenAlexW1998767154MaRDI QIDQ380313

Hiroshi Nakazato, Mao-Ting Chien

Publication date: 13 November 2013

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1381782099

zbMATH Keywords

algorithmnumerical rangeSylvester matrixToeplitz matricesBézoutiansdeterminantal representation of curvestrigonometric polynomial curves

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical range, numerical radius (47A12) Trigonometric polynomials, inequalities, extremal problems (42A05) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (4)

Determinantal representations of hyperbolic forms via weighted shift matrices ⋮ Singular points of the algebraic curves of symmetric hyperbolic forms ⋮ Computing the determinantal representations of hyperbolic forms ⋮ Computing real definite representations of Helton-Vinnikov theorem

Cites Work

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• Computing Linear Matrix Representations of Helton-Vinnikov Curves
• Differential equations, difference equations and matrix theory
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• The Lax conjecture is true
• Über den Wertevorrat einer Matrix

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