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On error bounds for systems

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  • C. Liu
  • K. Ng

Abstract

In this paper we discuss some conditions ensuring the error bound property for a family of functions. By virtual of matrix theory on strongly positive matrices we provide some descent/directional descent conditions ensuring the existence of error bounds for systems of functions. These conditions relax the descent requirement for functions and provide useful methods for establishing error bounds. Copyright Sociedad de Estadística e Investigación Operativa 2015

Suggested Citation

  • C. Liu & K. Ng, 2015. "On error bounds for systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 552-566, July.
    • Handle: RePEc:spr:topjnl:v:23:y:2015:i:2:p:552-566
    DOI: 10.1007/s11750-014-0353-9
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    References listed on IDEAS

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    1. Radu Boţ & Ernö Csetnek, 2012. "Error bound results for convex inequality systems via conjugate duality," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(2), pages 296-309, July.
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