Singular points of the ternary polynomials associated with 4-by-4 matrices

DOI10.13001/1081-3810.1554zbMath1253.15030OpenAlexW1552713971MaRDI QIDQ3166901

Mao-Ting Chien, Hiroshi Nakazato

Publication date: 1 November 2012

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol23_pp755-769.pdf

zbMATH Keywords

numerical rangesingular pointdeterminanthomogeneous ternary polynomial

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) Special algebraic curves and curves of low genus (14H45)

Related Items (16)

The Gau-Wu number for \(4 \times 4\) and select arrowhead matrices ⋮ Singular points of the algebraic curves associated to unitary bordering matrices ⋮ Elliptic modular invariants of 4-by-4 matrices ⋮ Theta divisor and Abel map for 4-by-4 matrices ⋮ Hyperbolic forms associated with cyclic weighted shift matrices ⋮ Singular points of cyclic weighted shift matrices ⋮ On numerical ranges of rank-two operators ⋮ Unnamed Item ⋮ Generating curves of the inverse \(q\)-numerical ranges of 2-by-2 matrices ⋮ On the geometry of numerical ranges over finite fields ⋮ Classification of joint numerical ranges of three Hermitian matrices of size three ⋮ Symmetric numerical ranges of four-by-four matrices ⋮ Singularities of base polynomials and Gau-Wu numbers ⋮ Non-parallel Flat Portions on the Boundaries of Numerical Ranges of 4-by-4 Nilpotent Matrices ⋮ Kippenhahn's Theorem for Joint Numerical Ranges and Quantum States ⋮ On some 4-by-4 matrices with bi-elliptical numerical ranges

This page was built for publication: Singular points of the ternary polynomials associated with 4-by-4 matrices