Neville elimination: An efficient algorithm with application to chemistry
From MaRDI portal
Publication:1959282
DOI10.1007/s10910-009-9648-8zbMath1196.92074OpenAlexW2160786111MaRDI QIDQ1959282
Rafael Gallego, Jorge Delgado, Juan Manuel Peña, Pedro Alonso
Publication date: 6 October 2010
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-009-9648-8
Factorization of matrices (15A23) Chemistry (92E99) Iterative numerical methods for linear systems (65F10)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Backward error analysis of Neville elimination
- GIBBS: isothermal-isobaric thermodynamics of solids from energy curves using a quasi-harmonic Debye model
- Coincidence probabilities
- Coincidence properties of birth and death processes
- Classical diffusion processes and total positivity
- Total positivity and Neville elimination
- Scaled pivoting in Gauss and Neville elimination for totally positive systems
- A matricial description of Neville elimination with applications to total positivity
- Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
- Extinction times for a birth--death process with two phases
- Iterative refinement for Neville elimination
- Scaling for Numerical Stability in Gaussian Elimination
- Iterative Refinement Implies Numerical Stability for Gaussian Elimination
- A Totally Positive Factorization of Rectangular Matrices by the Neville Elimination
- Accuracy and Stability of Numerical Algorithms
- Note on Zeifman's bounds on the rate of convergence for birth-death processes
- The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System
- Iterative Refinement in Floating Point
- A CHARACTERIZATION OF BIRTH AND DEATH PROCESSES
- Totally positive matrices
