Certain positive definite submatrices that arise from binomial coefficient matrices

DOI10.1016/S0168-9274(00)00004-0zbMath0979.65031OpenAlexW2025103546MaRDI QIDQ5928462

I. C. Demetriou, Elias A. Lipitakis

Publication date: 4 July 2001

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(00)00004-0

zbMATH Keywords

binomial coefficient matricesCholesky factorizationGauss eliminationoverdetermined systempositive definite subsystempositive definitenessToeplitz matrix

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (2)

A linearly distributed lag estimator with \(r\)-convex coefficients ⋮ Signs of divided differences yield least squares data fitting with constrained monotonicity or convexity

Uses Software

• L2CXFT

Cites Work

• Data Smoothing using Non-Negative Divided Differences and l₂ Approximation
• The Minimum Sum of Squares Change to Univariate Data that gives Convexity
• Moving-weighted-average smoothing extended to the extremities of the data. I. Theory
• Algorithm 742: L2CXFT
• A Data Smoothing Technique for Piecewise Convex/Concave Curves
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