Results 31 to 40 of about 5,306,015 (308)
Bifurcation of the roots of the characteristic polynomial and the destabilization paradox in friction induced oscillations [PDF]
Paradoxical effect of small dissipative and gyroscopic forces on the stability of a linear non-conservative system, which manifests itself through the unpredictable at first sight behavior of the critical non-conservative load, is studied.
Kirillov O.N.
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Root-multiplicity and root iterative refinement
We discuss root-finding algorithms for multiple zeros of nonlinear equations in one variable. Recent investigations regarding this problem were mainly aimed at deriving schemes that use the beforehand knowledge of root multiplicity. In this communication we investigate several such root-finding methods under the assumption that the ...
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On generalized one-step derivative-free iterative family for evaluating multiple roots [PDF]
In this study, we propose a family of iterative procedures with no deriva-tives for calculating multiple roots of one-variable nonlinear equations. We also present an iterative technique to approximate the multiplicity of the roots.
H. Arora, A. Cordero, J. R. Torregrosa
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An Efficient Class of Traub–Steffensen-Type Methods for Computing Multiple Zeros
Numerous higher-order methods with derivative evaluations are accessible in the literature for computing multiple zeros. However, higher-order methods without derivatives are very rare for multiple zeros.
Deepak Kumar +2 more
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In the study of dynamics of physical systems an important role is played by symmetry principles. As an example in classical physics, symmetry plays a role in quantum physics, turbulence and similar theoretical models.
Ramandeep Behl +4 more
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Multiple idiopathic apical root resorption [PDF]
Idiopathic external root resorption is a rarely reported condition which has been observed in single or multiple teeth. This is a rare case of multiple idiopathic apical root resorption (MIARR) in a 16-year-old boy. External root resorption of the permanent teeth is a multifactorial process. Well-recognised causes of apical root resorption in permanent
Manish, Kanungo +3 more
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An Optimal Eighth-Order Family of Iterative Methods for Multiple Roots
In this paper, we introduce a new family of efficient and optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity ( m ≥ 1 ) . We use the weight function approach involving one and two parameters to
Saima Akram, Fiza Zafar, Nusrat Yasmin
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Roots Multiplicity without Companion Matrices [PDF]
We show a method for constructing a polynomial interpolating roots’ multiplicities of another polynomial, that does not use companion matrices. This leads to a modification to Guersenzvaig–Szechtman square-free decomposition algorithm that is more efficient both in theory and in practice.
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One-Point Optimal Family of Multiple Root Solvers of Second-Order
This manuscript contains the development of a one-point family of iterative functions. The family has optimal convergence of a second-order according to the Kung-Traub conjecture.
Deepak Kumar +2 more
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On Constructing a Family of Sixth-Order Methods for Multiple Roots
A family of three-point, sixth-order, multiple-zero solvers is developed, and special cases of weight functions are investigated based on polynomials and low-order rational functions.
Young Hee Geum
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