The definition of trace norm is the summation of singularities of that matrix. I need to calculate the trace norm of matrix with the form $$A = I + r$$ where the elements in r are much smaller than identity. Since I know there is perturbation theory of eigenvalue problem, I am wondering if there is similar formula for the perturbation of trace norm?
2026-03-26 01:28:19.1774488499
perturbation of trace norm
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