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On the ABS algorithm with singular initial matrix and its application to linear programming

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Publication:4380564
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DOI10.1080/10556789708805672zbMath0894.90110OpenAlexW2035459902MaRDI QIDQ4380564

Li-wei Zhang

Publication date: 17 March 1998

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556789708805672


zbMATH Keywords

simplex algorithmactive set algorithmHuang methodABS algorithmsingular initial matrix


Mathematics Subject Classification ID

Linear programming (90C05)


Related Items (1)

ABS algorithms for linear equations and optimization



Cites Work

  • A class of direct methods for linear systems
  • What are Schur complements, anyway?
  • A direct method for the general solution of a system of linear equations
  • A bound to the condition number of canonical rank-two corrections and applications to the variable metric method
  • Matrix factorizations in optimization of nonlinear functions subject to linear constraints
  • Unnamed Item


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