Computing the determinantal representations of hyperbolic forms

DOI10.1007/s10587-016-0283-9zbMath1413.14005OpenAlexW2530144352MaRDI QIDQ2828805

Mao-Ting Chien, Hiroshi Nakazato

Publication date: 26 October 2016

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/145862

zbMATH Keywords

Riemann theta functionnumerical rangedeterminantal representationhyperbolic form

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Computational aspects of algebraic curves (14Q05) Theta functions and curves; Schottky problem (14H42)

Related Items (8)

Inverse numerical range and Abel-Jacobi map of Hermitian determinantal representation ⋮ Unitary similarity of the determinantal representation of unitary bordering matrices ⋮ Toeplitz matrices are unitarily similar to symmetric matrices ⋮ Cyclic weighted shift matrix with reversible weights ⋮ Unnamed Item ⋮ Inverse numerical range and determinantal representation ⋮ Abel theorem and inverse numerical range ⋮ Discriminants of cubic curves and determinantal representations

Uses Software

• Maple
• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Determinantal representation of trigonometric polynomial curves via Sylvester method
• Reduction of the \(c\)-numerical range to the classical numerical range
• Pencils of real symmetric matrices and real algebraic curves
• Geometry of the numerical range of matrices
• Singular points of cyclic weighted shift matrices
• The possible shapes of numerical ranges
• Differential equations, difference equations and matrix theory
• Linear matrix inequality representation of sets
• Computing Riemann theta functions
• Elliptic modular invariants and numerical ranges
• Über den Wertevorrat einer Matrix
• Computing Riemann matrices of algebraic curves

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