The use of basic iterative methods for bounding a solution of a system of linear equations with an M-matrix and positive right-hand side

Kocurek, Martin

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 143-148

Abstract

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This article presents a simple method for bounding a solution of a system of linear equations A x = b with an M-matrix and positive right-hand side [1]. Given a suitable approximation to an exact solution, the bounds are constructed by one step in a basic iterative method.

How to cite

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Kocurek, Martin. "The use of basic iterative methods for bounding a solution of a system of linear equations with an M-matrix and positive right-hand side." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2006. 143-148. <http://eudml.org/doc/271338>.

@inProceedings{Kocurek2006,
abstract = {This article presents a simple method for bounding a solution of a system of linear equations $Ax=b$ with an M-matrix and positive right-hand side [1]. Given a suitable approximation to an exact solution, the bounds are constructed by one step in a basic iterative method.},
author = {Kocurek, Martin},
booktitle = {Programs and Algorithms of Numerical Mathematics},
location = {Prague},
pages = {143-148},
publisher = {Institute of Mathematics AS CR},
title = {The use of basic iterative methods for bounding a solution of a system of linear equations with an M-matrix and positive right-hand side},
url = {http://eudml.org/doc/271338},
year = {2006},
}

TY - CLSWK
AU - Kocurek, Martin
TI - The use of basic iterative methods for bounding a solution of a system of linear equations with an M-matrix and positive right-hand side
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2006
CY - Prague
PB - Institute of Mathematics AS CR
SP - 143
EP - 148
AB - This article presents a simple method for bounding a solution of a system of linear equations $Ax=b$ with an M-matrix and positive right-hand side [1]. Given a suitable approximation to an exact solution, the bounds are constructed by one step in a basic iterative method.
UR - http://eudml.org/doc/271338
ER -

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