October 1, 1977

On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems

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Resumen

This paper surveys perturbation theory for the pseudo-inverse (Moore-Penrose generalized inverse), for the orthogonal projection onto the column space of a matrix, and for the linear least squares problem. (Author)

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G. W. Stewart (Sat,) studied this question.

synapsesocial.com/papers/6a11d6c545487b7639a568d7 https://doi.org/https://doi.org/10.1137/1019104

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1Perturbation theory for pseudo-inverses1973 · 343 citations
2Generalized Inverses: Theory and Applications1976 · 4,584 citations
3Introduction to the Theory of Linear Non-selfadjoint Operators1969 · 1,515 citations
4The algebraic eigenvalue problem1965 · 5,799 citations
5Introduction to matrix computations1973 · 2,400 citations

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