Semi-convergence analysis of the inexact Uzawa method for singular saddle point problems

• Jian-Lei Li ^[1] ; Ting-Zhu Huang ^[2]
  1. [1] University of Water Resources and Electric Power
  2. [2] University of Electronic Science and Technology
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 53, Nº. 1, 2012, págs. 61-70
• Idioma: inglés
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• Resumen

  • Recently, various Uzawa methods were proposed based on different matrix splitting for solving nonsingular saddle point problems, and the necessary and sufficient condition of the convergence for those Uzawa methods were derived. Motivated by their results, in this paper we give the semi-convergence analysis of the inexact Uzawa method which is applied to solve singular saddle point problems under certain conditions.