Recently, I studied A research paper
where author has compared his proposed method with several other existing method on a randomly sigular matrices with fixed condition number. My question is can we generate a random matrices with desired condition number using matlab?
Here is the link of paper: An improved method for the computation of
the Moore-Penrose inverse matrix, table 3
Please clarify my doubt. I would be very much thankful to you.
Best Answer
Matrices in Table 3 are well-known matrices which are close to singular. The condition number is defined as the ratio between the maximal and the minimal singular values. In order to generate a matrix with a desired condition number, you can use SVD decomposition and modify the matrix with the singular values:
Regards, Fernando