Numerical Methods for Evaluating the Derivatives of Eigenvalues and Eigenvectors. Rudisill, C. S. & Chu, Y. AIAA Journal, 13(6):834–837, American Institute of Aeronautics and Astronautics (AIAA), June, 1975.
doi  bibtex   
@Article{Rudisill1975,
    author      = {Carl S. Rudisill and Yee--Yeen Chu},
    title       = {Numerical Methods for Evaluating the Derivatives of Eigenvalues and Eigenvectors},
    doi         = {10.2514/3.60449},
    journal     = {{AIAA} Journal},
    month       = {June},
    number      = {6},
    pages       = {834--837},
    publisher   = {American Institute of Aeronautics and Astronautics ({AIAA})},
    volume      = {13},
    year        = {1975}
}

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