On unit spherical Euclidean distance matrices which differ in one entry
DOI10.1016/j.laa.2020.02.013zbMath1439.15012arXiv1903.07458OpenAlexW3008854661WikidataQ114152238 ScholiaQ114152238MaRDI QIDQ2310405
Publication date: 6 April 2020
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.07458
semidefinite programmingGale transformCayley-Menger matricespoints on unit spheresspherical Euclidean distance matrices
Semidefinite programming (90C22) Positive matrices and their generalizations; cones of matrices (15B48) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Gale and other diagrams (52B35)
Cites Work
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- Properties of Euclidean and non-Euclidean distance matrices
- On certain linear mappings between inner-product and squared-distance matrices
- Distance matrices and regular figures
- On yielding and jointly yielding entries of Euclidean distance matrices
- Circum-Euclidean distance matrices and faces
- 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 and Their Applications in Rigidity Theory
- Handbook of semidefinite programming. Theory, algorithms, and applications
- Two theorems on Euclidean distance matrices and Gale transform
- Inequalities and equalities associated with the Campbell-Youla generalized inverse of the indefinite admittance matrix of resistive networks
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