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Encyclopedia of Optimization pp 7–13Cite as

ABS Algorithms for Optimization

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Article Outline

Keywords

A Class of ABS Projection Methods for Unconstrained Optimization

Applications to Quasi-Newton Methods

ABS Methods for Kuhn–Tucker Equations

Reformulation of the Simplex Method via the Implicit LX Algorithm

ABS Unification of Feasible Direction Methods for Minimization with Linear Constraints

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References

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References

  1. Abaffy J, Spedicato E (1989) ABS projection algorithms: Mathematical techniques for linear and nonlinear equations. Horwood, Westergate

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  4. Feng E, Wang XM, Wang XL (1997) On the application of the ABS algorithm to linear programming and linear complementarity. Optim Methods Softw 8:133–142

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  8. Spedicato E, Chen Z, Bodon E (1996) ABS methods for KT equations. In: Di Pillo G, Giannessi F (eds) Nonlinear Optimization and Applications. Plenum, New York, pp 345–359

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  10. Spedicato E, Xia Z, Zhang L (1995) Reformulation of the simplex algorithm via the ABS algorithm. Preprint Univ Bergamo

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Author information

Authors and Affiliations

  1. Department Math., University Bergamo, Bergamo, Italy

    Emilio Spedicato

  2. Department Applied Math., Dalian University Technol., Dalian, China

    Zunquan Xia & Liwei Zhang

Authors
  1. Emilio Spedicato
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  2. Zunquan Xia
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  3. Liwei Zhang
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Spedicato, E., Xia, Z., Zhang, L. (2008). ABS Algorithms for Optimization . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_2

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