A modified Tikhonov regularization method

• Xiao-Juan Yang ^[1] ; Li Wang ^[1]
  1. [1] Nanjing Normal University

     Nanjing Normal University

     China

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 288, Nº 1 (November 2015), 2015, págs. 180-192
• Idioma: inglés
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• Resumen

  • Tikhonov regularization and truncated singular value decomposition (TSVD) are two elementary techniques for solving a least squares problem from a linear discrete ill-posed problem. Based on these two techniques, a modified regularization method is proposed, which is applied to an Arnoldi-based hybrid method. Theoretical analysis and numerical examples are presented to illustrate the effectiveness of the method.