On properties of cell matrices

DOI10.1016/j.amc.2010.03.032zbMath1203.15022OpenAlexW2064406784MaRDI QIDQ979296

Gašper Jaklič, Jolanda Modic

Publication date: 25 June 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.032

zbMATH Keywords

eigenvaluesdeterminantstar graphEuclidean distance matrixcell matrixcircum-Euclidean distance matrixsymbolic matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (11)

On cell matrices: a class of Euclidean distance matrices ⋮ Euclidean graph distance matrices of generalizations of the star graph ⋮ On positivity of principal minors of bivariate Bézier collocation matrix ⋮ Cell reducing and the dimension of the C1 bivariate spline space ⋮ On quadratic embedding constants of star product graphs ⋮ Quadratic Embedding Constants of Wheel Graphs ⋮ INVERSE EIGENVALUE PROBLEM FOR EUCLIDEAN DISTANCE MATRICES OF SIZE 3 ⋮ A note on ``Methods for constructing distance matrices and the inverse eigenvalue problem ⋮ Inverse eigenvalue problem of cell matrices ⋮ The cell matrix closest to a given Euclidean distance matrix ⋮ Distance matrices and quadratic embedding of graphs

Cites Work

• Methods for constructing distance matrices and the inverse eigenvalue problem
• Advanced determinant calculus
• Circum-Euclidean distance matrices and faces
• Polynomial interpolation in several variables
• On the nullspace, the rangespace and the characteristic polynomial of Euclidean distance matrices
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• Euclidean distance matrices: new characterization and boundary properties
• On the dimension of the bivariate spline space
• Metric Spaces and Positive Definite Functions
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