Recursive interpolation algorithm: A formalism for solving systems of linear equations. I: Direct methods

DOI10.1016/S0377-0427(96)00066-0zbMath0869.65023MaRDI QIDQ5961645

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Publication date: 1 September 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schur complementiterative methodsAxelsson-Vassilevski methodCG-methodCR-algorithmCRNE-algorithmDaniel methoditerations with PD-matricesPGCR-algorithmrecursive interpolation systemsscaled ABS algorithmSPD-matricessystem of linear equationsTRIA(s)-algorithm

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (8)

Recursive polynomial interpolation algorithm (RPIA) ⋮ RMPIA: a new algorithm for computing the Lagrange matrix interpolation polynomials ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ GRPIA: a new algorithm for computing interpolation polynomials ⋮ Global FOM and GMRES algorithms for a class of complex matrix equations ⋮ New algorithm for computing the Hermite interpolation polynomial ⋮ Convergence acceleration during the 20th century ⋮ Recursive interpolation algorithm: A formalism for solving systems of linear equations. II: Iterative methods

Cites Work

• Recursive interpolation, extrapolation and projection
• Numerical aspects of Gram-Schmidt orthogonalization of vectors
• Other manifestations of the Schur complement
• Extrapolation methods theory and practice
• A direct method for the general solution of a system of linear equations
• Modification Methods for Inverting Matrices and Solving Systems of Linear Algebraic Equations
• Loss and Recapture of Orthogonality in the Modified Gram–Schmidt Algorithm
• Some properties of the recursive projection and interpolation algorithms
• Recursive interpolation algorithm: A formalism for solving systems of linear equations. II: Iterative methods
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