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Volume 19, Issue 4
A New Approach to Solve Systems of Linear Equations

Luis Vázquez & José L. Vázquez-Poletti

J. Comp. Math., 19 (2001), pp. 445-448.

Published online: 2001-08

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  • Abstract

We propose a new iterative approach to solve systems of linear equations. The new strategy integrates the algebraic basis of the problem with elements from classical mechanics all the finite difference method. The approach defines two families of convergent iterative methods. Each family is characterized by a linear differential equation and every method is obtained from a suitable finite difference scheme to integrate the associated differential equation. The methods are general and depend on neither the matrix dimension nor the matrix structure. In this preliminary work, we present the basic features of the method with a simple application to a low dimensional system.

  • Keywords

Iterative method, Linear systems, Classical dynamics.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-445, author = {Vázquez , Luis and Vázquez-Poletti , José L.}, title = {A New Approach to Solve Systems of Linear Equations}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {4}, pages = {445--448}, abstract = {

We propose a new iterative approach to solve systems of linear equations. The new strategy integrates the algebraic basis of the problem with elements from classical mechanics all the finite difference method. The approach defines two families of convergent iterative methods. Each family is characterized by a linear differential equation and every method is obtained from a suitable finite difference scheme to integrate the associated differential equation. The methods are general and depend on neither the matrix dimension nor the matrix structure. In this preliminary work, we present the basic features of the method with a simple application to a low dimensional system.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8996.html} }
TY - JOUR T1 - A New Approach to Solve Systems of Linear Equations AU - Vázquez , Luis AU - Vázquez-Poletti , José L. JO - Journal of Computational Mathematics VL - 4 SP - 445 EP - 448 PY - 2001 DA - 2001/08 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8996.html KW - Iterative method, Linear systems, Classical dynamics. AB -

We propose a new iterative approach to solve systems of linear equations. The new strategy integrates the algebraic basis of the problem with elements from classical mechanics all the finite difference method. The approach defines two families of convergent iterative methods. Each family is characterized by a linear differential equation and every method is obtained from a suitable finite difference scheme to integrate the associated differential equation. The methods are general and depend on neither the matrix dimension nor the matrix structure. In this preliminary work, we present the basic features of the method with a simple application to a low dimensional system.

Vázquez , Luis and Vázquez-Poletti , José L.. (2001). A New Approach to Solve Systems of Linear Equations. Journal of Computational Mathematics. 19 (4). 445-448. doi:
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