On error bounds for systems

• C. G. Liu ^[1] ; K. F. Ng ^[2]
  1. [1] Jinan University

     Jinan University

     China

     
  2. [2] Chinese University of Hong Kong

     Chinese University of Hong Kong

     RAE de Hong Kong (China)

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 23, Nº. 2, 2015, págs. 552-566
• Idioma: inglés
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• Resumen

  • 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.