Add to ORKGnone1noIn the solution of ill-posed problems by means of regularization methods, a crucial issue is the computation of the regularization parameter. In this work we focus on the Truncated Singular Value Decomposition (TSVD) and Tikhonov method and we define a method for computing the regularization parameter based on the behavior of Fourier coefficients. We compute a safe index for truncating the TSVD and consequently a value for the regularization parameter of the Tikhonov method. An extensive numerical experimentation is carried out on the Hansen's Regtool test problems and the results confirm the effectiveness and robustness of the method proposed.noneF. ZamaF. Zam
Abstract. Straightforward solution of discrete ill-posed linear systems of equations or least-square...
The most commonly used method for the solution of ill-posed problems is Tikhonov regularization meth...
In this paper we introduce a new algorithm to estimate the optimal regularization parameter in trunc...
In the solution of ill-posed problems by means of regularization methods, a crucial issue is the com...
Tikhonov regularization is one of the most popular methods for computing an approximate solution of ...
This paper presents a method for choosing the regular-ization parameter (α) appearing in Tikhonov re...
The straightforward solution of discrete ill-posed linear systems of equations or least-squares prob...
Tikhonov regularization introduces regularization parameter and stable functional to improve the ill...
We consider the numerical solution of first kind Fredholm integral equations. Such integral equation...
We consider regularization of linear ill‐posed problem Au = f with noisy data fδ, ¦fδ...
The real inversion of a Laplace transform function is an ill-posed problem; so, in the design of a n...
In the present work, we study the determination of the regularization parameter and the computation ...
Abstract. Truncated singular value decomposition (TSVD) is a popular method for solving linear discr...
Abstract. Solving discrete ill-posed problems via Tikhonov regularization introduces the prob-lem of...
Abstract. Tikhonov regularization often is applied with a finite difference regularization operator ...
Abstract. Straightforward solution of discrete ill-posed linear systems of equations or least-square...
The most commonly used method for the solution of ill-posed problems is Tikhonov regularization meth...
In this paper we introduce a new algorithm to estimate the optimal regularization parameter in trunc...
In the solution of ill-posed problems by means of regularization methods, a crucial issue is the com...
Tikhonov regularization is one of the most popular methods for computing an approximate solution of ...
This paper presents a method for choosing the regular-ization parameter (α) appearing in Tikhonov re...
The straightforward solution of discrete ill-posed linear systems of equations or least-squares prob...
Tikhonov regularization introduces regularization parameter and stable functional to improve the ill...
We consider the numerical solution of first kind Fredholm integral equations. Such integral equation...
We consider regularization of linear ill‐posed problem Au = f with noisy data fδ, ¦fδ...
The real inversion of a Laplace transform function is an ill-posed problem; so, in the design of a n...
In the present work, we study the determination of the regularization parameter and the computation ...
Abstract. Truncated singular value decomposition (TSVD) is a popular method for solving linear discr...
Abstract. Solving discrete ill-posed problems via Tikhonov regularization introduces the prob-lem of...
Abstract. Tikhonov regularization often is applied with a finite difference regularization operator ...
Abstract. Straightforward solution of discrete ill-posed linear systems of equations or least-square...
The most commonly used method for the solution of ill-posed problems is Tikhonov regularization meth...
In this paper we introduce a new algorithm to estimate the optimal regularization parameter in trunc...