Error estimates for the solution of linear algebraic systems

Solution of Systems of Linear Algebraic Equations

Algebraic Solving of Complex Interval Linear Systems by Limiting ‎Factors‎

In this work, we propose a simple method for obtaining the algebraic solution of a complex interval linear system where coefficient matrix is a complex matrix and the right-hand-side vector is a complex interval vector. We first use a complex interval version of the Doolittle decomposition method and then we restrict the Doolittle's solution, by complex limiting factors, to achieve a complex in...

The solution of very large non-linear algebraic systems

The manuscript discusses the feasibility and the methods for solving systems of non-linear algebraic equations, the main numerical subjects being convergence tests, stop criteria, and expedients for large and sparse systems. After a detailed discussion on the features of large non-linear systems, the paper focuses on the numerical simulation of complex combustion devices and on the formation of...

Minimal solution of fuzzy linear systems

In this paper, we use parametric form of fuzzy number and we converta fuzzy linear system to two linear system in crisp case. Conditions for the existence of a minimal solution to $mtimes n$ fuzzy linear equation systems are derived and a numerical procedure for calculating the minimal solution is designed. Numerical examples are presented to illustrate the proposed method.

Bootstrap Standard Error Estimates for Linear Regression

Standard errors of parameter estimates are widely used in empirical work. The bootstrap often can provide a convenient means of estimating standard errors. The conditions under which bootstrap standard error estimates are theoretically justified have not received much attention, however. This article establishes conditions for the consistency of the moving blocks bootstrap estimators of the var...