Increase of accuracy in modelling the quotient of small values by computers MEDA 40TA, MEDA 41TC and ADT 3000
Karel Beneš (1983)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Karel Beneš (1983)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Vojtěch Jarník (1948)
Časopis pro pěstování matematiky a fysiky
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Wang, Mingqiang, Zhang, Haifeng (2010)
Mathematical Problems in Engineering
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Josef Dvorčuk (1969)
Aplikace matematiky
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In this paper the method for simultaneous finding of all the roots of a polynomial is derived. The method is based on the factorization of a polynomial into quadratic factors. The method is designed for the polynomial with real coefficients. It is derived by using the Newton method. The quadratic convergence of this method is proved for given good guesses of the roots and for the polynomial with distinct roots. Algorithm of the method is described in Algol 60.