Results 11 to 20 of about 103,109 (304)
A parallel algorithm for simple roots for polynomials
A method for finding simple roots of arbitrary polynomials based on divided differences is discussed. Theoretical background is presented for the case of simple roots.
Layne T Watson
exaly +3 more sources
Simple algorithms for approximating all roots of a polynomial with real roots
We present a simple algorithm for approximating all roots of a polynomial p(x) when it has only real roots. The algorithm is based on some interesting properties of the polynomials appearing in the Extended Euclidean Scheme for p(x) and p′(x).
Michael Ben-Or
exaly +3 more sources
We introduce roots of indecomposable modules over group algebras of finite groups, and we investigate some of their properties. This allows us to correct an error in Landrock's book which has to do with roots of simple modules.
Burkhard Külshammer
core +2 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
doaj +3 more sources
A Simple Panel-CADF Test for Unit Roots [PDF]
In this paper, we propose a simple extension to the panel case of the covariate-augmented Dickey–Fuller (CADF) test for unit roots developed in Hansen (1995).
LUPI C, COSTANTINI M
core +9 more sources
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
doaj +7 more sources
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
doaj +1 more source
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
doaj +3 more sources
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

