在Matlab中处理R中的符号矩阵

问题描述

我无法同时使用rSymPy和Ryacas在R中使用符号矩阵.在Matlab中，这很容易. 我正在寻找有关如何在R中执行此操作以及获得与Matlab类似的输出的建议.为此，我需要在"Matlab"中使用符号工具箱".

I am failing to appropriately work with a Symbolic Matrix in R, with both rSymPy and Ryacas. In Matlab this is easy. I am looking for suggestions how to do this in R and get a similar output as in Matlab. To do this in Matlab I need the 'Symbolic Toolbox'.

在此示例中，我希望生成一个符号转换概率矩阵"P"，即5 x 5，并具有元素P11，P12，...，P55.然后，我想将此矩阵用于与其自身和其他矩阵的乘法运算，并可能还要执行其他运算.

In this example I wish to generate a Symbolic transition probability matrix "P", which is say 5 x 5, and has elements P11, P12,..., P55. I then want to use this matrix for multiplication (with itself and other matrices) and potentially perform also other operations.

(1)Matlab-生成符号矩阵->确定

P = sym('P%d%d', [5 5])

(1)R-获取符号矩阵->确定

library(rSymPy)
P<-matrix(nrow=5, ncol=5)
for (i in 1:5){
  for (j in 1:5) {
P[i,j]<-paste0(Sym("P"), i, j) # tried Var("P") also
  }
}

然后我想将这些矩阵混合.

then I want to mulitply these matrices.

(2)Matlab-乘以符号矩阵->确定

P*P

工作正常.

(2)R-乘以符号矩阵->问题

sympy("P * P")
Need Help Here!

不起作用.许多其他尝试也不起作用.我需要有关如何正确执行此操作并获得与(2)Matlab中相同的输出的建议.

does not work. Many other attempts did not work either. I need suggestions on how to do this correctly and get the same output as, for example, in (2) Matlab.

其他任务:

(3)Matlab-sym()分别将每个元素->确定

此外，我想提出一个建议，如Matlab中那样，如何对R中矩阵P的单个元素进行Sym().

Moreover I would ask for a suggestion how to Sym() a single element of the matrix P in R as in Matlab.

for i = 1:5;
    for j = 1:5;
    P = sprintf('P%d%d',i,j);
    assignin('caller',P,sym(P));
    end;
end;

(3)R-Sym()分别每个元素->问题

Need Help Here!

感谢所有建议！

推荐答案

这适用于rSymPy:

library(rSymPy)

a1 <- Var("a1")
a2 <- Var("a2")
a3 <- Var("a3")
a4 <- Var("a4")

A <- Matrix(List(a1, a2), List(a3, a4))

A*A
#[1] "[a2*a3 + a1**2, a1*a2 + a2*a4]\n[a1*a3 + a3*a4, a2*a3 + a4**2]"

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