Results 21 to 30 of about 80 (71)
An Optimal Fourth Order Iterative Method for Solving Nonlinear Equations and Its Dynamics
Journal of Complex Analysis, Volume 2015, Issue 1, 2015., 2015 We present a new fourth order method for finding simple roots of a nonlinear equation f(x) = 0. In terms of computational cost, per iteration the method uses one evaluation of the function and two evaluations of its first derivative. Therefore, the method has optimal order with efficiency index 1.587 which is better than efficiency index 1.414 of ...
Rajni Sharma, Ashu Bahl, Ying Hu
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A Conversation With David Bellhouse
International Statistical Review, Volume 94, Issue 2, Page 221-241, August 2026.Summary David Richard Bellhouse was born in Winnipeg, Manitoba, on 19 July 1948. He studied actuarial mathematics and statistics at the University of Manitoba (BA, 1970; MA, 1972) and completed his PhD at the University of Waterloo, Ontario, in 1975. After being an Assistant Professor for 1 year at his alma mater, he joined the University of Western ...
Christian Genest
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Polynomiography Based on the Nonstandard Newton‐Like Root Finding Methods
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 A survey of some modifications based on the classic Newton’s and the higher order Newton‐like root finding methods for complex polynomials is presented. Instead of the standard Picard’s iteration several different iteration processes, described in the literature, which we call nonstandard ones, are used.
Krzysztof Gdawiec +3 more
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Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Given r⩾3$r \geqslant 3$, we prove that there exists λ>0$\lambda >0$ depending only on r$r$ so that if G$G$ is a metric graph of rank r$r$ with metric entropy 1, then there exists a proper subgraph H$H$ of G$G$ with metric entropy at least λ$\lambda$. This answers a question of the second two authors together with Rieck. We interpret this as a
Tawfiq Hamed, Tarik Aougab, Matt Clay
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Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We show that Schröder’s processes of the first kind and of the second kind to obtain a simple root of a nonlinear equation are related by polynomial and rational approximations.
François Dubeau, Elena Berdysheva
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Convergence Behavior for Newton‐Steffensen’s Method under γ‐Condition of Second Derivative
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 The present paper is concerned with the semilocal as well as the local convergence problems of Newton‐Steffensen’s method to solve nonlinear operator equations in Banach spaces. Under the assumption that the second derivative of the operator satisfies γ‐condition, the convergence criterion and convergence ball for Newton‐Steffensen’s method are ...
Yonghui Ling +3 more
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Diversity and Distributions, Volume 30, Issue 12, December 2024.ABSTRACT Aim Habitat destruction causes “extinction debt” and is also thought to produce ecosystem function debt, but theory of their magnitude and nature is limited. Heterogeneous landscapes are fundamental to the maintenance of species richness and ecosystem function, while directed or undirected dispersal behaviour, such as dispersal of seeds by ...
Dexiecuo Ai +2 more
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87th Annual Meeting of the Meteoritical Society 2025: Abstracts
Meteoritics &Planetary Science, Volume 60, Issue S1, Page 30-350, August 2025.
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86th Annual Meeting of the Meteoritical Society (2024)
Meteoritics &Planetary Science, Volume 59, Issue S1, Page A1-A468, August 2024.
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H2 in Antarctic firn air: Atmospheric reconstructions and implications for anthropogenic emissions. [PDF]
Proc Natl Acad Sci U S A, 2021 Patterson JD +7 more
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