In this paper, a new special class of splitting iterations for solving linear least squares problems in finite dimensions is defined and their main properties of strong global convergence to any problem solution are derived. The investigation results prove the new splitting iterations to be a generalization of the approximating splitting iterations for solving linear least squares problems in finite dimensions, suggesting their suitability for the robust approximate solution of such problems
We establish necessary and sufficient conditions for linear convergence of operator splitting method...
Abstract. The generalized linear least squares problem is treated here as a linear least squares pro...
A class of the iteration method from the double splitting of coefficient matrix for solving the line...
AbstractFor the linear-squares problems minx||b−Ax||2, where A is large and sparse, straightforward ...
In this paper, we present new preconditioned generalized mixed-type splitting (GMTS) methods for sol...
AbstractA proper splitting of a rectangular matrix A is one of the form A = M − N, where A and M hav...
A standard engineering procedure for approximating the solutions of an infinite-dimensional inverse ...
AbstractWe present a unifying framework for a wide class of iterative methods in numerical linear al...
We propose a modification of an algorithm introduced by Martínez (1987) for solving nonlinear least-...
Abstract. We consider a class of non-linear least squares problems that are widely used in fitting e...
We present a novel iterative algorithm for approximating the linear least squares solution with low ...
Summarization: The problem of accelerating the convergence rate of iterative schemes, as they apply ...
We consider a class of non-linear least squares problems that are widely used in fitting experimenta...
. In 1980, Han [6] described a finitely terminating algorithm for solving a system Ax b of linear ...
By introducing the dimension splitting method (DSM) into the improved interpolating moving least-squ...
We establish necessary and sufficient conditions for linear convergence of operator splitting method...
Abstract. The generalized linear least squares problem is treated here as a linear least squares pro...
A class of the iteration method from the double splitting of coefficient matrix for solving the line...
AbstractFor the linear-squares problems minx||b−Ax||2, where A is large and sparse, straightforward ...
In this paper, we present new preconditioned generalized mixed-type splitting (GMTS) methods for sol...
AbstractA proper splitting of a rectangular matrix A is one of the form A = M − N, where A and M hav...
A standard engineering procedure for approximating the solutions of an infinite-dimensional inverse ...
AbstractWe present a unifying framework for a wide class of iterative methods in numerical linear al...
We propose a modification of an algorithm introduced by Martínez (1987) for solving nonlinear least-...
Abstract. We consider a class of non-linear least squares problems that are widely used in fitting e...
We present a novel iterative algorithm for approximating the linear least squares solution with low ...
Summarization: The problem of accelerating the convergence rate of iterative schemes, as they apply ...
We consider a class of non-linear least squares problems that are widely used in fitting experimenta...
. In 1980, Han [6] described a finitely terminating algorithm for solving a system Ax b of linear ...
By introducing the dimension splitting method (DSM) into the improved interpolating moving least-squ...
We establish necessary and sufficient conditions for linear convergence of operator splitting method...
Abstract. The generalized linear least squares problem is treated here as a linear least squares pro...
A class of the iteration method from the double splitting of coefficient matrix for solving the line...