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  • 1
    Electronic Resource
    Electronic Resource
    A secant method for multiple roots (1977)
    Springer
    BIT 17 (1977), S. 321-328 
    Details
    ISSN: 1572-9125
    Keywords: 5.15 ; nonlinear equation ; root finding ; multiple root ; secant method ; Steffensen procedure ; order of convergence ; efficiency ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A superlinear procedure for finding a multiple root is presented. In it the secant method is applied to the given function divided by a divided difference whose increment shrinks toward zero as the root is approached. Two function evaluations per step are required, but no derivatives need be calculated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01932152
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