Is a matrix with a condition number of 1e20 definitely more ill-conditioned than a matrix with a condition number of 1e19?
I am working with some ill-conditioned matrices, trying to find the relationship between the matrix’s ill-conditioning and the results. However, I have noticed that the condition numbers of some matrices are extremely large, with the smallest singular values even smaller than eps. Does this mean that the condition numbers I got might be inaccurate? Or is a matrix with a condition number of 1e20 definitely more ill-conditioned than a matrix with a condition number of 1e19?I am working with some ill-conditioned matrices, trying to find the relationship between the matrix’s ill-conditioning and the results. However, I have noticed that the condition numbers of some matrices are extremely large, with the smallest singular values even smaller than eps. Does this mean that the condition numbers I got might be inaccurate? Or is a matrix with a condition number of 1e20 definitely more ill-conditioned than a matrix with a condition number of 1e19? I am working with some ill-conditioned matrices, trying to find the relationship between the matrix’s ill-conditioning and the results. However, I have noticed that the condition numbers of some matrices are extremely large, with the smallest singular values even smaller than eps. Does this mean that the condition numbers I got might be inaccurate? Or is a matrix with a condition number of 1e20 definitely more ill-conditioned than a matrix with a condition number of 1e19? matrix MATLAB Answers — New Questions