# Eigenvalues for vector inputs..?

조회 수: 3(최근 30일)
Hi everyone,
I have two vectors of experimental data which I believe are linearly related (within a close tolerance). I would like to determine the linear coefficients [m,b] that transform vector A to vector B:
vB = m .* vA + b
This is a classic eigenvalue problem, isn't it? I checked out the MATLAB documentation for function eig(), but eig() requires two square matrices as input. I'm not seeing how to recast my problem.
Here's a simple example:
>>vA = rand(10,1);
>>vB = (1.5 .* vB) + 0.5;
What function of vA & vB returns [0.5,1.5], or [1.5,0.5] ..?

댓글을 달려면 로그인하십시오.

### 채택된 답변

Star Strider 2012년 8월 19일
The reason eig wants two square matrices is that it calculates the similarity transformation matrix that maps one matrix from one coordinate system (set of bases) to another. You might be able to do that if you set your vectors up as companion-form matrices, but I doubt that would be of any real benefit.
In your application, you seem to me to have a simple linear transformation between two vectors (not matrices) that is most appropriate to polyfit:
vA = rand(10,1)
vB = vA*pi + exp(1)
B = polyfit(vA, vB, 1)
B =
3.1416e+000 2.7183e+000
There are many other functions that will do this, but the core MATLAB function polyfit is the simplest.
##### 댓글 수: 2표시숨기기 이전 댓글 수: 1
Star Strider 2012년 8월 19일
My pleasure!

댓글을 달려면 로그인하십시오.

### Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by