Correction of Errors in the First-Order Perturbation Expansions of Singular Vectors
arXiv:0710.0967
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Fixes a technical error in a foundational matrix algorithms reference for numerical analysts.
The paper corrects errors in Stewart's first-order perturbation expansions for singular vectors, providing accurate formulas.
This note corrects some serious errors in the first-order perturbation analysis of singular vectors as published by G.W. Stewart in his book "Matrix Algorithms Volume II: Eigensystems", SIAM, 2001.