Jeng-Tzong Chen

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Consider the over-determined system Fx = b where F ∈ R m×n , m ≥ n and rank (F) = r ≤ n, the effective condition number is defined by Cond eff = b σ r x , where the singular values of F are given as σmax = σ1 ≥ σ2 ≥ ... ≥ σr > 0 and σr+1 = ... = σn = 0. For the general perturbed system (A + ∆A)(x + ∆x) = b + ∆b involving both ∆A and ∆b, the new error bounds(More)
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