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Three new algorithms based on the sequential secant method (1979)

Martínez, José Mario

Springer

BIT 19 (1979), S. 236-243

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ISSN: 1572-9125

Keywords: Nonlinear equations ; sequential secant method ; order of convergence ; quasi-Newton methods

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract We introduce three new implementations of the sequential secant method for solving nonlinear simultaneous equations. Following the ideas of Gragg and Stewart, we store orthogonal factorizations of some of the matrices involved. Degeneracy in the increments of the independent variable is corrected according to simple and theoretically justified procedures. Some numerical experiences are also given.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01930854

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