AU - Keshvari, Alireza AU - Hosseni, SM TI - a mathematical analysis of new L-curve to estimate the parameters of Regularization in TSVD method PT - JOURNAL ARTICLE TA - jsci JN - jsci VO - 17 VI - 40 IP - 40 4099 - http://jsci.khu.ac.ir/article-1-2156-en.html 4100 - http://jsci.khu.ac.ir/article-1-2156-en.pdf SO - jsci 40 ABĀ  - A new technique to find the optimization parameter in TSVD regularization method based on a curve which is drawn against the residual norm [5]. Since the TSVD regularization is a method with discrete regularization parameter then the above-mentioned curve is also discrete. In this paper we present a mathematical analysis of this curve, showing that the curve has L-shaped path very similar to that of the classical L-curve and its corner point can represent the optimization regularization parameter very well. In order to find the corner point of the L-curve (optimization parameter), two methods are applied: pruning and triangle. Numerical results show that in the considered test problems the new curve is better than the classical L-curve. CP - IRAN IN - LG - eng PB - jsci PG - 75 PT - Original Manuscript YR - 2015