%0 Journal Article %A Keshvari, Alireza %A Hosseni, SM %T a mathematical analysis of new L-curve to estimate the parameters of Regularization in TSVD method %J Journal title %V 17 %N 40 %U http://jsci.khu.ac.ir/article-1-2156-en.html %R %D 2015 %K TSVD Regularization, discrete L-curve, New L-curve, %X 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. %> http://jsci.khu.ac.ir/article-1-2156-en.pdf %P 75-84 %& 75 %! %9 Original Manuscript %L A-10-1024-1 %+ %G eng %@ %[ 2015