We prove that solutions by direct regularization of linear systems are equivalent to truncated iterations of certain type of iterative methods. Our proofs extend previous results of H. E. Fleming to the rank-deficient case. We give a unified approach that includes the undetermined and overdetermined problems.236253
Most preconditioners for Toeplitz systems A(n)(f) arising in the discretization of ill-posed problem...
This paper is concerned with the solution of underdetermined linear systems of equations with a very...
The regularization of ill-posed systems of equations is carried out by corrections of the data or th...
AbstractWe prove that solutions by direct regularization of linear systems are equivalent to truncat...
AbstractThe equivalence of minimum-norm least-squares solutions of systems of linear equations and s...
The advent of the computer had forced the application of mathematics to all branches of human endeav...
Abstract. Straightforward solution of discrete ill-posed linear systems of equations or least-square...
The straightforward solution of discrete ill-posed linear systems of equations or least-squares prob...
The paper concerns conditioning aspects of finite dimensional problems arisen when the Tikhonov regu...
Abstract. This paper is concerned with the computation of accurate approximate solutions of linear s...
In this paper we analyze two regularization methods for nonlinear ill-posed problems. The first is a...
This paper discusses iterative methods for the solution of very large severely ill-conditioned linea...
Abstract. The iteratively regularized Gauss-Newton method is applied to compute the stable solutions...
Abstract ： The theory of solving linear and nonlinear ill-posed problems is advanced greatly today (...
In this paper, an iterative method is presented for the computation of regularized solutions of disc...
Most preconditioners for Toeplitz systems A(n)(f) arising in the discretization of ill-posed problem...
This paper is concerned with the solution of underdetermined linear systems of equations with a very...
The regularization of ill-posed systems of equations is carried out by corrections of the data or th...
AbstractWe prove that solutions by direct regularization of linear systems are equivalent to truncat...
AbstractThe equivalence of minimum-norm least-squares solutions of systems of linear equations and s...
The advent of the computer had forced the application of mathematics to all branches of human endeav...
Abstract. Straightforward solution of discrete ill-posed linear systems of equations or least-square...
The straightforward solution of discrete ill-posed linear systems of equations or least-squares prob...
The paper concerns conditioning aspects of finite dimensional problems arisen when the Tikhonov regu...
Abstract. This paper is concerned with the computation of accurate approximate solutions of linear s...
In this paper we analyze two regularization methods for nonlinear ill-posed problems. The first is a...
This paper discusses iterative methods for the solution of very large severely ill-conditioned linea...
Abstract. The iteratively regularized Gauss-Newton method is applied to compute the stable solutions...
Abstract ： The theory of solving linear and nonlinear ill-posed problems is advanced greatly today (...
In this paper, an iterative method is presented for the computation of regularized solutions of disc...
Most preconditioners for Toeplitz systems A(n)(f) arising in the discretization of ill-posed problem...
This paper is concerned with the solution of underdetermined linear systems of equations with a very...
The regularization of ill-posed systems of equations is carried out by corrections of the data or th...
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