An optimal linear estimation approach to solve systems of linear algebraic equations

An Optimal Linear Estimation Approach to the Parallel Solution of Linear Algebraic Systems of Equations

Resumo Estimação linear ótima estocástica de parâmetros é utilizada para gerar um novo método iterativo, para a solução paralela de sistemas algébricos de equações. No limite, a abordagem proposta leva a algoritmos iterativos que resolvem em paralelo sistemas lineares, variável por variável. É mostrado, tanto no caso de sistemas determinados como no de sistemas indeterminados, que o método iter...

Solving Systems of Linear Diophantine Equations: An Algebraic Approach

We describe through an algebraic and geometrical study, a new method for solving systems of linear diophantine equations. This approach yields an algorithm which is intrinsically parallel. In addition to the algorithm, we give a geometrical interpretation of the satissability of an homogeneous system, as well as upper bounds on height and length of all minimal solutions of such a system. We als...

A new approach to solve fuzzy system of linear equations by Homotopy perturbation method

In this paper, we present an efficient numerical algorithm for solving fuzzy systems of linear equations based on homotopy perturbation method. The method is discussed in detail and illustrated by solving some numerical examples.

Modified homotopy method to solve non-linear integral equations

In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre ...

Solution of Systems of Linear Algebraic Equations