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Characterization of the solutions set of inconsistent least-squares problems by an extended Kaczmarz algorithm

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9781118491782.ch1openalex-snapshot
Generalized Inverse Matrices
inferredcites →https://doi.org/10.1007/bf00936715openalex-snapshot
Conjugate-gradient method for computing the Moore-Penrose inverse and rank of a matrix
inferredcites →https://doi.org/10.1007/bf01436376openalex-snapshot
Projection method for solving a singular system of linear equations and its applications
inferredcites →https://doi.org/10.1007/bf01930845openalex-snapshot
Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
inferredcites →https://doi.org/10.1007/bf02165164openalex-snapshot
A generalized inverse ∈-algorithm for constructing intersection projection matrices, with applications
inferredcites →https://doi.org/10.1007/bf02479751openalex-snapshot
Numerical algorithms for the Moore-Penrose inverse of a matrix: Direct methods
inferredcites →https://doi.org/10.1016/0965-9978(93)90030-wopenalex-snapshot
An iterative method for CVBEM systems Part I: The Kaczmarz algorithm
inferredcites →https://doi.org/10.1016/c2013-0-11733-3openalex-snapshot
Iterative Solution of Large Linear Systems
inferredcites →https://doi.org/10.1080/00207169508804364openalex-snapshot
Least-squares solution of overdetermined inconsistent linear systems using kaczmarz's relaxation
inferredcites →https://doi.org/10.1080/00401706.1973.10489026openalex-snapshot
Generalized Inverse of Matrices and Its Applications
inferredcites →https://doi.org/10.2307/2005542openalex-snapshot
Iterative Solution of Large Linear Systems
inferredcites →https://doi.org/10.2307/2528854openalex-snapshot
Generalized Inverse Matrices
inferredcites →https://doi.org/10.2307/3007981openalex-snapshot
Generalized Inverse of Matrices and Its Applications
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/nla.2233openalex-snapshot
Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss–Seidel algorithms
inferred← citeshttps://doi.org/10.1002/nla.2334openalex-snapshot
Semiconvergence analysis of the randomized row iterative method and its extended variants
inferred← citeshttps://doi.org/10.1007/bf03009946openalex-snapshot
Preconditioned Kaczmarz-Extended algorithm with relaxation parameters
inferred← citeshttps://doi.org/10.1007/bf03011619openalex-snapshot
A fast Kaczmarz-Kovarik algorithm for consistent least-squares problems
inferred← citeshttps://doi.org/10.1007/s11075-023-01540-xopenalex-snapshot
Randomized Kaczmarz method with adaptive stepsizes for inconsistent linear systems
inferred← citeshttps://doi.org/10.1016/j.cam.2019.112672openalex-snapshot
Projected randomized Kaczmarz methods
inferred← citeshttps://doi.org/10.1016/j.laa.2003.11.025openalex-snapshot
A projection method for semidefinite linear systems and its applications
inferred← citeshttps://doi.org/10.1016/j.matcom.2004.01.021openalex-snapshot
Kaczmarz extended algorithm for tomographic image reconstruction from limited-data
inferred← citeshttps://doi.org/10.1080/00207160.2011.634002openalex-snapshot
A general extending and constraining procedure for linear iterative methods
inferred← citeshttps://doi.org/10.1088/0266-5611/31/12/125008openalex-snapshot
Solving systems of phaseless equations via Kaczmarz methods: a proof of concept study
inferred← citeshttps://doi.org/10.1088/1742-6596/814/1/012017openalex-snapshot
An accelerated randomized extended Kaczmarz algorithm
inferred← citeshttps://doi.org/10.1090/mcom/2971openalex-snapshot
An accelerated randomized Kaczmarz algorithm
inferred← citeshttps://doi.org/10.1090/mcom/4168openalex-snapshot
On adaptive stochastic extended iterative methods for solving least squares
inferred← citeshttps://doi.org/10.1109/tcsii.2020.2979034openalex-snapshot
Null Space Projection Enhanced LMS Filters
inferred← citeshttps://doi.org/10.1109/tmi.2003.812253openalex-snapshot
Convergence studies on iterative algorithms for image reconstruction
inferred← citeshttps://doi.org/10.1137/19m1285846openalex-snapshot
On Adaptive Sketch-and-Project for Solving Linear Systems
inferred← citeshttps://doi.org/10.1137/23m1554357openalex-snapshot
Randomized Kaczmarz in Adversarial Distributed Setting
inferred← citeshttps://doi.org/10.1137/23m1575883openalex-snapshot
On Adaptive Stochastic Heavy Ball Momentum for Solving Linear Systems
inferred← citeshttps://doi.org/10.33993/jnaat321-739openalex-snapshot
Supplementary directional relaxations for the acceleration of Kaczmarz's projection method
inferred← citeshttps://doi.org/10.48550/arxiv.1401.4780openalex-snapshot
An Asynchronous Parallel Randomized Kaczmarz Algorithm
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