Richardson method and totally nonnegative linear systems

DOI10.1016/j.laa.2010.07.007zbMath1208.65041OpenAlexW1999577987MaRDI QIDQ603132

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

Publication date: 5 November 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.07.007

zbMATH Keywords

interpolationnumerical examplesconvergence accelerationRichardson methodsplinecomputer-aided designVandermonde matricescubic B-splineBernstein-Vandermonde matricescollocation matricesnonsingular totally nonnegative matricesnonsingular totally nonnegative stochastic matricesshape preserving modeling of curves

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10) Computer-aided design (modeling of curves and surfaces) (65D17) Stochastic matrices (15B51)

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Richardson's iterative method for surface interpolation, Preconditioned progressive iterative approximation for tensor product Bézier patches, Stationary splitting iterative methods for the matrix equation \(AXB=C\), On the progressive iteration approximation property and alternative iterations, Progressive iterative approximation for extended cubic uniform B-splines with shape parameters, Preconditioned progressive iterative approximation for triangular Bézier patches and its application

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