Geodesic
Laguerre-Like Methods for the Simultaneous Approximation of Polynomial Multiple Zeros
Yugoslav journal of operations research, Tome 16 (2006) no. 1, p. 31 .

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Two new methods of the fourth order for the simultaneous determination of multiple zeros of a polynomial are proposed. The presented methods are based on the fixed point relation of Laguerre's type and realized in ordinary complex arithmetic as well as circular complex interval arithmetic. The derived iterative formulas are suitable for the construction of modified methods with improved convergence rate with negligible additional operations. Very fast convergence of the considered methods is illustrated by two numerical examples
Classification : 65H05 65G30 12Y05 26C10 30C15
Keywords: Polynomial multiple zeros, simultaneous methods, inclusion of zeros, convergence. 
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     title = {Laguerre-Like {Methods} for the {Simultaneous} {Approximation} of {Polynomial} {Multiple} {Zeros}},
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Miodrag Petković; Lidija Rančić; Dušan Milošević. Laguerre-Like Methods for the Simultaneous Approximation of Polynomial Multiple Zeros. Yugoslav journal of operations research, Tome 16 (2006) no. 1, p. 31 . http://geodesic.mathdoc.fr/item/YJOR_2006_16_1_a1/