什么是MATLAB的MathNet等价物解决C = A \\ B

Question

I've recently begun using MathNet to implement our linear algebra, however I'm having some trouble translation MATLAB functions to MathNet.

In MATLAB I often use the simple solve using the backslash operator:

C = A \\ B

What is the equivalent of this in MathNet?

I get the same results in a small matrix using C = Inv(A) * B, but I don't know if the result is as precise.

Answer 1

var C = A.QR().Solve(B); (using QR decomposition)

For square matrices also: var C = A.LU().Solve(B); (using LU decomposition)

Answer 2

I don't think MathNet has any "equivalent" of Matlab's backslash operator. See this site for some info on how Matlab's backslash works: Matlab manual on mldivide() . I guess you could look at some of the solve methods, like QRSolve, but I don't think they will be as easy to use...

What do you mean by "precise"? Are you asking if MathNet's inv() does exact inversion of a matrix, or are you simply asking if you could calculate C as Inv(A)*(B)?

If you are asking the later, yes, for square matrices Matlab's backslash is roughly the same as Inv(A)*(B).

Answer 3

With the tests I've made using Matlab and Math.Net Numerics:

Matrix A Vector B

Matlab: A \\ B Math.Net Numerics: A.QR().Solve(B)

Both give the same results (in my case). I think it will work with B being a Matrix also.

Answer 4

如果您使用ILNumerics.Net库 ，您可以尝试ILMath.linsolve(A, B);