Difference between revisions of "LU decomposition using Gaussian elimination without pivoting"
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| − | '''Gaussian elimination without pivoting''' is a technique for obtaining the LU decomposition (<math>A=LU</math>) of a square nonsingular matrix A. Various versions of this technique are based either on [[LU-разложение методом Гаусса|the idea of eliminating nonzero | + | '''Gaussian elimination without pivoting''' is a technique for obtaining the LU decomposition (<math>A=LU</math>) of a square nonsingular matrix A. Various versions of this technique are based either on [[LU-разложение методом Гаусса|the idea of eliminating nonzero entries using elementary matrices]] or on [[Компактная схема метода Гаусса и её модификации|solving the equation]] <math>A=LU</math> for the matrices L and U. |
[[Category:Finished articles]] | [[Category:Finished articles]] | ||
[[ru:LU-разложение методом Гаусса без перестановок]] | [[ru:LU-разложение методом Гаусса без перестановок]] | ||
Latest revision as of 11:23, 5 March 2018
Gaussian elimination without pivoting is a technique for obtaining the LU decomposition ([math]A=LU[/math]) of a square nonsingular matrix A. Various versions of this technique are based either on the idea of eliminating nonzero entries using elementary matrices or on solving the equation [math]A=LU[/math] for the matrices L and U.
