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On the Derivation of Higher Order Root-Finding Methods
2007 American Control Conference, 2007High order root-finding algorithms are constructed based on some canonical conditions and a generalized Taylor series. The convergence order is automatically determined using these canonical conditions. The proposed approaches resulted in deriving methods of any desired order including the Newton, Halley, and Ostrowski iterations. It is also shown that,
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Local Orders, Root Numbers, and Modular Curves
American Journal of Mathematics, 1988Let F be a local field. Let \(\pi\) be an irreducible admissible representation of \(GL(2,F)\) and \(\pi_{\chi}\) the representation of \(GL(2,F)\) which corresponds (via the Weil representation) to a character \(\chi\) of a quadratic extension of F. Assume the restriction of \(\chi^{-1}\) to \(F^*\) is equal to the central character of \(\pi\). Then \(
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“Restructuring” and the Order of Aspectual and Root Modal Heads
2001Abstract If functional affixes and particles are interpreted as the overt realization of distinct functional heads (Baker 1985, Pollock 1989, Ouhalla 1988, 1991a, Chomsky 1995: chap. 2, among others), there is reason to posit the existence of a substantial number of distinct aspectual heads (ordered among each other): Having no cross ...
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The Role of Different Root Orders in Nutrient Uptake
Environmental and Experimental Botany, 2020Amnon Cochavi, Shimon Rachmilevitch
exaly
High Order Search Methods for Finding Roots
Journal of the ACM, 1975Charles A. Micchelli +1 more
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A Root Is a Root Is a Root? Water Uptake Rates of Citrus Root Orders
Plant, Cell and Environment, 2011Jhonathan Ephrath +2 more
exaly