scientific article; zbMATH DE number 1522951

zbMath0965.65064MaRDI QIDQ4511248

Vladimir Kluzner, Avram Sidi

Publication date: 12 December 2000

Full work available at URL: https://eudml.org/doc/121129

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite difference methodnumerical examplesLanczos methoderror analysisPoisson equationKrylov subspace methodsDrazin-inverse solutionbiorthogonalizationbi-conjugate gradient algorithmsingular inconsistent nonsymmetric linear systems

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (11)

DFOM algorithm and error analysis for projection methods for solving singular linear system ⋮ DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systems ⋮ A two-step algorithm for solving singular linear systems with index one ⋮ Spectral behaviour of GMRES applied to singular systems ⋮ Perturbation analysis of singular linear systems with arbitrary index. ⋮ Gradient methods for computing the Drazin-inverse solution ⋮ New methods for computing the Drazin-inverse solution of singular linear systems ⋮ Properties and computation of continuous-time solutions to linear systems ⋮ A simpler DGMRES ⋮ The analysis of restart DGMRES for solving singular linear systems ⋮ DGMRES: A GMRES-type algorithm for Drazin-inverse solution of singular nonsymmetric linear systems

Uses Software

• Bi-CG

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