On the progressive iteration approximation property and alternative iterations

DOI10.1016/j.cagd.2011.09.005zbMath1244.65046OpenAlexW2012884769MaRDI QIDQ426160

Jorge Delgado, J. M. Carnicer, Juan Manuel Peña

Publication date: 11 June 2012

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2011.09.005

zbMATH Keywords

interpolationnumerical experimentsiterative methodsgeneralized minimal residual (GMRES) methodRichardson iterationprogressive iteration approximation

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items

Richardson's iterative method for surface interpolation, Progressive iterative approximation for regularized least square bivariate B-spline surface fitting, Preconditioned progressive iterative approximation for tensor product Bézier patches, Stationary splitting iterative methods for the matrix equation \(AXB=C\), Accurate bidiagonal decomposition of totally positive h-Bernstein-Vandermonde matrices and applications, Progressive iterative approximation for extended cubic uniform B-splines with shape parameters, LSPIA, (stochastic) gradient descent, and parameter correction, Preconditioned progressive iterative approximation for triangular Bézier patches and its application, Hyperpower least squares progressive iterative approximation

Cites Work

• Richardson method and totally nonnegative linear systems
• Weighted progressive iteration approximation and convergence analysis
• Local progressive-iterative approximation format for blending curves and patches
• Progressive iterative approximation and bases with the fastest convergence rates
• Totally positive bases and progressive iteration approximation
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Comparison of Different Progressive Iteration Approximation Methods
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item