equation-solving

Solving simultaneous equations with R

由 余生长醉 提交于 2019-11-27 00:52:46
问题 Suppose I have the following equations: x + 2y + 3z = 20 2x + 5y + 9z = 100 5x + 7y + 8z = 200 How do I solve these equations for x , y and z ? I would like to solve these equations, if possible, using R or any other computer tools. 回答1: This should work A <- matrix(data=c(1, 2, 3, 2, 5, 9, 5, 7, 8), nrow=3, ncol=3, byrow=TRUE) b <- matrix(data=c(20, 100, 200), nrow=3, ncol=1, byrow=FALSE) round(solve(A, b), 3) [,1] [1,] 320 [2,] -360 [3,] 140 回答2: For clarity, I modified the way the matrices

How to implement Matlab&#39;s mldivide (a.k.a. the backslash operator “\\”)

由 早过忘川 提交于 2019-11-26 11:17:34
I'm currently trying to develop a small matrix-oriented math library (I'm using Eigen 3 for matrix data structures and operations) and I wanted to implement some handy Matlab functions, such as the widely used backslash operator (which is equivalent to mldivide ) in order to compute the solution of linear systems (expressed in matrix form). Is there any good detailed explanation on how this could be achieved ? (I've already implemented the Moore-Penrose pseudoinverse pinv function with a classical SVD decomposition, but I've read somewhere that A\b isn't always pinv(A)*b , at least Matalb

How to implement Matlab&#39;s mldivide (a.k.a. the backslash operator “\”)

由 泪湿孤枕 提交于 2019-11-26 03:29:57
问题 I\'m currently trying to develop a small matrix-oriented math library (I\'m using Eigen 3 for matrix data structures and operations) and I wanted to implement some handy Matlab functions, such as the widely used backslash operator (which is equivalent to mldivide ) in order to compute the solution of linear systems (expressed in matrix form). Is there any good detailed explanation on how this could be achieved ? (I\'ve already implemented the Moore-Penrose pseudoinverse pinv function with a
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