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A simple panel-CADF test for unit roots [PDF]
Copyright © Blackwell Publishing Ltd and the Department of Economics, University of Oxford 2012. This is the accepted version of the following article: Costantini, M. and Lupi, C. (2013), A Simple Panel-CADF Test for Unit Roots.
Costantini, M, Lupi, C
core +14 more sources
Simple-root bases for Shi arrangements [PDF]
In his affirmative answer to the Edelman-Reiner conjecture, Yoshinaga proved that the logarithmic derivation modules of the cones of the extended Shi arrangements are free modules. However, all we know about the bases is their existence and degrees.
Abe, Takuro, Terao, Hiroaki
core +6 more sources
Computing Simple Roots by an Optimal Sixteenth-Order Class [PDF]
The problem considered in this paper is to approximate the simple zeros of the function by iterative processes. An optimal 16th order class is constructed.
F. Soleymani, S. Shateyi, H. Salmani
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Basin attractors for derivative-free methods to find simple roots of nonlinear equations
Many methods exist for solving nonlinear equations. Several of these methods are derivative-free. One of the oldest is the secant method where the derivative is replaced by a divided difference.
Beny Neta
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A New Derivative-Free Method to Solve Nonlinear Equations
A new high-order derivative-free method for the solution of a nonlinear equation is developed. The novelty is the use of Traub’s method as a first step. The order is proven and demonstrated.
Beny Neta
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Basins of attraction for family of Popovski’s methods and their extension to multiple roots
In this paper we revisit Popovski’s family of methods for simple roots. We compare several members using basins of attraction visually and qualitatively by comparing the run-time on several examples, the average number of iterations and the number of ...
Beny Neta
doaj +1 more source
A simple and efficient protocol for generating transgenic hairy roots using Agrobacterium rhizogenes
For decades, Agrobacterium rhizogenes (now Rhizobium rhizogenes), the causative agent of hairy root disease, has been harnessed as an interkingdom DNA delivery tool for generating transgenic hairy roots on a wide variety of plants.
Shaun Ferguson +7 more
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ON THE ROOTS OF SYSTEMS OF TRANSCENDENTAL EQUATIONS
The article is devoted to investigation of simple and multiple roots of systems of transcendental equations. It is shown that the number is related to the number of real roots of the resultant of the system. Examples for systems of equations are given.
A. M. Kytmanov, O. V. Khodos
doaj +1 more source
We present in this paper two new families of bi-parametric multipoint higher order iterative methods of optimal order for determining simple roots of the nonlinear equation Ω(s)=0.
G Thangkhenpau +2 more
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On enclosing simple roots of nonlinear equations [PDF]
In this paper we present two efficient algorithms for enclosing a simple root of the nonlinear equation f ( x ) = 0 f(x) = 0 in the interval [a, b]. They improve recent methods of Alefeld and Potra by achieving higher efficiency indices and avoiding the solution of a quadratic equation per ...
Alefeld, Goetz +2 more
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