Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

From Wikipedia, a Jordan canonical form can be written in terms of its Jordan blocks as :

$$J=J_{a_1}(\lambda_1)\oplus J_{a_2}(\lambda_2)\oplus\cdots\oplus J_{a_n}(\lambda_n), $$

I was wondering what matrix operation $\oplus$ is? Thanks!

share|improve this question
add comment

1 Answer

up vote 2 down vote accepted

It's the direct sum of matrices: "Direct Sum of Matrices" at Wikipedia.

To better understand this, you should read about direct sums of vector spaces: "Direct Sum of Modules: Construction for Vector Spaces and Abelian Groups" at Wikipedia.

share|improve this answer
1  
Just a remark: sometimes the same notation is used for Kronecker's sum of two matrices. –  Artem Nov 26 '12 at 3:37
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.