Gauss-Jordan Elimination
这里先给出一些铺垫:既然求逆,前提肯定是方阵A是可逆的,对矩阵A进行几种初等变换可以得到上三角矩阵U,假设分别经过了3种初等变换E,F,G最后得到U,那么A=GFEU,同时A总可以分解为一个下三角矩阵与一个上三角矩阵相乘,即A=LU,其中L为下三角矩阵,因此L=GFE。 当将A和E放在一起组成一个新的矩阵时,将A变化为...
intgauss_jordan(intn){//a为增广矩阵intr,w=0;for(inti=0;i<n&&w<n;w++,i++){//进行到第i列,第w行intr=w;for(intj=w+1;j<n;j++)if(fabs(a[j][i])>fabs(a[r][i]))r=j;//找到当前列绝对值最大的行if(fabs(a[r][i])<eps){w--;continue;}//当前列值都为0,跨过当前步if(...
2) Gauss Jordan elimination 高斯约当消元法3) Gauss-Jordan elimination 高斯-约旦消去法4) gaussian elimination 高斯消去法5) Gauss elimination method 高斯消去法 1. Taking the uncertainty of injected node active power into account, interval linear equations are solved with interval Gauss ...
GAUSS-JORDAN ELIMINATION: A METHOD TO SOLVE LINEAR SYSTEMSMATH 196, SECTION 59 (VIPUL NAIK)Corresponding material in ..
Gauss–Jordan eliminationMoore–Penrose inverseWe present an alternative explicit expression for the Moore–Penrose inverse of a matrix. Based on this expression, we propose a Gauss–Jordan elimination method for the computation of A†. Its computational complexity indicates that this method is more ...
Gauss Jordan elimination consists in a sequence ofelementary row operations: interchanging the order of the equations, so as to make sure that the zero rows are at the bottom of the matrix; multiplying (or dividing) the equations by non-zero constants, so as to make the pivots equal to ...
A step-by-step explanation of finding the inverse of a matrix using Gauss-Jordan Elimination. Up to 5x5 matrix.
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When solving systems of equations by using matrices, many teachers present a Gauss-Jordan elimination approach to row reducing matrices that can involve painfully tedious operations with fractions (which I will call the traditional method). In this essay, I present an alternative method to row ...