Two modified least-squares iterative algorithms for the Lyapunov matrix equations

Iterative least-squares solutions of coupled Sylvester matrix equations

In this paper, we present a general family of iterative methods to solve linear equations, which includes the well-known Jacobi and Gauss–Seidel iterations as its special cases. The methods are extended to solve coupled Sylvester matrix equations. In our approach, we regard the unknown matrices to be solved as the system parameters to be identified, and propose a least-squares iterative algorit...

Least Squares Solutions of Inconsistent Fuzzy Linear Matrix Equations

least squares solutions of inconsistent fuzzy linear matrix equations

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On the modified iterative methods for $M$-matrix linear systems

This paper deals with scrutinizing the convergence properties of iterative methods to solve linear system of equations. Recently, several types of the preconditioners have been applied for ameliorating the rate of convergence of the Accelerated Overrelaxation (AOR) method. In this paper, we study the applicability of a general class of the preconditioned iterative methods under certain conditio...

Iterative Reweighted Least Squares ∗

Describes a powerful optimization algorithm which iteratively solves a weighted least squares approximation problem in order to solve an L_p approximation problem. 1 Approximation Methods of approximating one function by another or of approximating measured data by the output of a mathematical or computer model are extraordinarily useful and ubiquitous. In this note, we present a very powerful ...