A stationary iterative pseudoinverse algorithm

DOI10.1007/BF02512367zbMath0907.65042OpenAlexW2015710108MaRDI QIDQ1267019

Tommy Elfving

Publication date: 18 February 1999

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02512367

zbMATH Keywords

algorithmlinear least squares problemminimum norm solutionpseudoinverse solutionstationary iterative methods

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)

Related Items (6)

A general extending and constraining procedure for linear iterative methods ⋮ A projection method for semidefinite linear systems and its applications ⋮ A hybrid Kaczmarz-conjugate gradient algorithm for image reconstruction ⋮ Supplementary projections for the acceleration of Kaczmarz algorithm ⋮ The Augmented Block Cimmino Distributed Method ⋮ Approximate Generalized Inverses with Iterative Refinement for $\epsilon$-Accurate Preconditioning of Singular Systems

Cites Work

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• Block-iterative methods for consistent and inconsistent linear equations
• On the acceleration of Kaczmarz's method for inconsistent linear systems
• Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
• Strong underrelaxation in Kaczmarz's method for inconsistent systems
• A generalized inverse \(\epsilon\)-algorithm for constructing intersection projection matrices, with applications
• Projection method for solving a singular system of linear equations and its applications
• Numerical Methods for Large Sparse Linear Least Squares Problems
• Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
• Least-squares solution of overdetermined inconsistent linear systems using kaczmarz's relaxation
• The Convergence of Linear Stationary Iterative Processes for Solving Singular Unstructured Systems of Linear Equations
• Methods of conjugate gradients for solving linear systems

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