Iterative Solution of Saddle-Point Systems from Radial Basis Function (RBF) Interpolation

Iterative numerical methods for linear systems (65F10) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Preconditioners for iterative methods (65F08)

Related Items (3)

Multilevel interpolation of scattered data using $\mathcal{H}$-matrices ⋮ $\mathcal{H}$-inverses for RBF interpolation ⋮ Numerical algorithms for spline interpolation on space of probability density functions

Uses Software

mctoolbox
PetRBF
H2Lib

Cites Work

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Iterative solution of large sparse systems of equations
On conditioning of saddle-point matrices with Lagrangian augmentation
Stability and preconditioning for a hybrid approximation on the sphere
PetRBF - A parallel $O(N)$ algorithm for radial basis function interpolation with Gaussians
On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
Block computation and representation of a sparse nullspace basis of a rectangular matrix
Rapid evaluation of radial basis functions
Domain decomposition methods in scattered data interpolation with conditionally positive definite radial basis functions
Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
Fast Evaluation of Radial Basis Functions: Methods for Generalized Multiquadrics in $\RR^\protectn$
ℋ︁-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems
The Antitriangular Factorization of Saddle Point Matrices
Hierarchical Matrices: Algorithms and Analysis
Stabilized rounded addition of hierarchical matrices
Numerical solution of saddle point problems
A Survey of Condition Number Estimation for Triangular Matrices
On Solving Block-Structured Indefinite Linear Systems
A comparative study of null‐space factorizations for sparse symmetric saddle point systems
Accuracy and Stability of Numerical Algorithms
The Antitriangular Factorization of Symmetric Matrices
Hierarchical Matrix Approximation for Kernel-Based Scattered Data Interpolation
An Augmented Lagrangian‐Based Approach to the Oseen Problem
Scattered Data Approximation

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