高斯约当消去的显式公式

N. Tran, Júlia Justino, I. Berg
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引用次数: 1

摘要

高斯-约当消去法的连续中间矩阵的元素具有小商的形式。本文不是用\cite{Li}的行列式的恒等式证明,而是用归纳法直接证明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ON THE EXPLICIT FORMULA FOR GAUSS-JORDAN ELIMINATION
The elements of the successive intermediate matrices of the Gauss-Jordan elimination procedure have the form of quotients of minors. Instead of the proof using identities of determinants of \cite{Li}, a direct proof by induction is given.
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