整数一次不定方程组的矩阵解法与程序设计

Matrix Solution of Integral Indeterminate Equations of First Degree and Its Program Design

摘要: 用欧几里德算法和整数环上的可逆线性变换,从理论上对整数一次不定方程组的解进行了深入研究,提出了用矩阵的初等变换求解整数一次不定方程组的矩阵解法,并利用MATLAB数学软件开发了相应的计算机程序.
- 程序设计 /
- 整数一次不定方程组 /
- 矩阵解法 /
- 欧几里德算法
Abstract: By using the Euclidean algorithm and invertible linear transformation over an integral ring, the solution of integral indeterminate equations of the first degree was investigated in theory, and its matrix solution based on the elementary matrix transformation was proposed. In addition, the program for the matrix solution was given by using MATLAB mathematical software.
- programming /
- integral indeterminate equations of first degree /
- matrix solution /
- Euclidean algorithm

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