On the usage of lines in \(GC_n\) sets

DOI10.1007/s10444-019-09705-wzbMath1435.41002arXiv1807.08182OpenAlexW2963109718WikidataQ127707061 ScholiaQ127707061MaRDI QIDQ2305548

Vahagn Vardanyan, Hakop A. Hakopian

Publication date: 11 March 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.08182

zbMATH Keywords

polynomial interpolationGasca-Maeztu conjecturemaximal line\(n\)-poised set\(GC_n\) set

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (1)

On the basic properties of GCn sets

Cites Work

• On the uniqueness of algebraic curves passing through \(n\)-independent nodes
• The Gasca-Maeztu conjecture for \(n=5\)
• Geometric characterization and generalized principal lattices
• A new proof of the Gasca-Maeztu conjecture for \(n=4\)
• On Lagrange and Hermite interpolation in \(R^ k\).
• Generation of lattices of points for bivariate interpolation
• Extensions of planar GC sets and Syzygy matrices
• On a generalization of the Gasca-Maeztu conjecture
• On a new property of \(n\)-poised and \(GC_n\) sets
• On a correction of a property of \(GC_{n}\) sets
• Configurations of nodes with defects greater than three
• On Lattices Admitting Unique Lagrange Interpolations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the usage of lines in \(GC_n\) sets