Pin-pointing solution of ill-conditioned square systems of linear equations

DOI10.1016/S0893-9659(00)00086-0zbMath0955.65031OpenAlexW1993102193MaRDI QIDQ1586306

O. Vilnay, K. Yu. Volokh

Publication date: 13 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00086-0

zbMATH Keywords

singular value decompositionaccuracyGaussian eliminationHilbert matrixnullspaceill-conditioned systemsnearly singular systems

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (10)

Radial basis functions methods for boundary value problems: performance comparison ⋮ Six strategies for defeating the Runge phenomenon in Gaussian radial basis functions on a finite interval ⋮ The collocation solution of Poisson problems based on approximate Fekete points ⋮ Numerical simulation of two-dimensional combustion using mesh-free methods ⋮ Regularized symmetric positive definite matrix factorizations for linear systems arising from RBF interpolation and differentiation ⋮ Numerical solution to time-dependent 4D inviscid Burgers' equations ⋮ A new iterative refinement of the solution of ill-conditioned linear system of equations ⋮ A new iterative refinement for ill-conditioned linear systems based on discrete gradient ⋮ A note on the pin-pointing solution of ill-conditioned linear system of equations ⋮ Finite subdomain radial basis collocation method

Uses Software

• Mathematica
• Regularization tools
• mctoolbox
• UTV

Cites Work

• Rank-Deficient and Discrete Ill-Posed Problems
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