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Iterative method for solving the linear feasibility problem

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Publication:946322
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DOI10.1007/s10957-007-9163-7zbMath1165.90010OpenAlexW1980382020MaRDI QIDQ946322

R. Dudek

Publication date: 23 September 2008

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-007-9163-7

zbMATH Keywords

metric projectionssurrogate constraints


Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Linear programming (90C05)


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Convergence results for stochastic convex feasibility problem using random Mann and simultaneous projection iterative algorithms in Hilbert space, Accelerating two projection methods via perturbations with application to intensity-modulated radiation therapy



Cites Work

  • Unnamed Item
  • Relaxed outer projections, weighted averages and convex feasibility
  • A simultaneous projections method for linear inequalities
  • New iterative methods for linear inequalities
  • A class of optimized row projection methods for solving large nonsymmetric linear systems
  • The method of projections for finding the common point of convex sets
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