Abstract
Methods of the secant type for solving systems of nonlinear equations are considered. They are stable in contrast to the traditional secant method with respect to linear dependence of the search directions. A short survey of some variants of the secant method, that use quasi-Newton formulas to provide stability, is given. Some parallel algorithms are constructed on the basis of the stable secant approximations.
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© 1986 Springer-Verlag
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Burdakoy, O.P. (1986). Stabilization of the secant method via quasi-newton approach. In: Prékopa, A., Szelezsáan, J., Strazicky, B. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043833
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DOI: https://doi.org/10.1007/BFb0043833
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