A Class of Methods for Solving Nonlinear Simultaneous Equations. Broyden, C. G. Mathematics of Computation, 19(92):577–593, October, 1965.
doi  bibtex   
@Article{Broyden1965a,
    author      = {Broyden, Charles G.},
    title       = {A Class of Methods for Solving Nonlinear Simultaneous Equations},
    doi         = {10.1090/S0025-5718-1965-0198670-6},
    journal     = {Mathematics of Computation},
    month       = {October},
    number      = {92},
    pages       = {577--593},
    volume      = {19},
    year        = {1965}
}

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