Stability and spectral properties of incomplete factorization

DOI10.1007/BF03167896zbMath0694.65047OpenAlexW2047834185MaRDI QIDQ3470077

Donato Trigiante, Giovanni Di Lena

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf03167896

zbMATH Keywords

stabilityiterative methodsspectral analysisincomplete factorizationpreconditioning matricesnonlinear three-point difference equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Tridiagonal matrices: Invertibility and conditioning ⋮ Stability and spectral properties of some incomplete block factorizations ⋮ Stability of a three-point scheme for linear second order singularly perturbed BVPs with turning points

Cites Work

• Unnamed Item
• A survey of preconditioned iterative methods for linear systems of algebraic equations
• On computing INV block preconditionings for the conjugate gradient method
• Theory of difference equations: Numerical methods and applications
• Block Preconditioning for the Conjugate Gradient Method
• Element Preconditioning Using Splitting Techniques
• A Stability Analysis of Incomplete LU Factorizations

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