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Polynomial Equations

Solving Polynomial Equations using Modified Super Ostrowski Homotopy Continuation Method

Solving Polynomial Equations using Modified Super Ostrowski Homotopy Continuation Method

... There are two types of mathematical problem when using classical methods in solving polynomial equations - divergence and starting value problems. Newton’s and secant methods contain the derivatives f '( ) ...

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Numerical Solution of Systems of Polynomial Equations

Numerical Solution of Systems of Polynomial Equations

... univariate polynomial by replacing its variable by any num- ber and carrying out the ...Most polynomial equations are not bijective like x 2 ...

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A new approach to the numerical solution of system of dual fuzzy polynomial equations

A new approach to the numerical solution of system of dual fuzzy polynomial equations

... Mosleh, Solution of fuzzy polynomial equations by modied Adomian. deomposition method, Soft Computing, Inpress[r] ...

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A New Approach to the Numerical Solution of
 Dual Fully Fuzzy Polynomial Equations

A New Approach to the Numerical Solution of Dual Fully Fuzzy Polynomial Equations

... Solving dual fully fuzzy polynomial equations (DFFPEs) by using universal approx- imators (UA), that is, FNN was presented in this paper. In this paper, we derived a learning algorithm of fuzzy weights of ...

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Localization and Perturbations of  Roots to  Systems of Polynomial Equations

Localization and Perturbations of Roots to Systems of Polynomial Equations

... We use the approach based on the resultant formulations, which has a long history; the literature devoted to this approach is very rich, compared to 1, 3, 4. We combine it with the recent estimates for the eigenvalues of ...

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Polynomial equations and solvability: A historical perspective

Polynomial equations and solvability: A historical perspective

... degree of/,if the deg(/)=0 the result is clear.. Arrange the terms ofthe given symmetric polynomial lexicographically. We have to find a product cr{x) of elementary symmetric functions w[r] ...

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On polynomial equations in Banach space, perturbation techniques and applications

On polynomial equations in Banach space, perturbation techniques and applications

... In this paper we use perturbation techniques to find solutions of the abstract polynomial equation of degree.. over the field.[r] ...

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Design, Optimization and Evaluation of Piroxicam Fast Dissolving Tablets Employing Modified Starch by 23 Factorial Design.

Design, Optimization and Evaluation of Piroxicam Fast Dissolving Tablets Employing Modified Starch by 23 Factorial Design.

... from polynomial equations and response surface methodology, the individual effects of modified starch (A), croscarmellose sodium (B) and crospovidone (C) and interaction between ABC are more significant and ...

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Design and Optimization of Mefenamic acid Fast Dissolving Tablets Employing Modified Starch by 23 Factorial Design

Design and Optimization of Mefenamic acid Fast Dissolving Tablets Employing Modified Starch by 23 Factorial Design

... from polynomial equations and response surface methodology, the individual effects of modified starch (A), croscarmellose sodium (B) and crospovidone (C) and interaction between ABC are more significant and ...

12

New methods of computing the projective polynomial resultant based on dixon, jouanolou and jacobian matrices

New methods of computing the projective polynomial resultant based on dixon, jouanolou and jacobian matrices

... Much of the concern in researches related to multivariate polynomials resultant is to determine a method that can give exact resultant. In most cases, exact resultant only exist on certain classes of the generic system ...

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Model inference for ordinary differential equations by parametric polynomial kernel regression

Model inference for ordinary differential equations by parametric polynomial kernel regression

... Differential Equations (ODEs), from ...by polynomial equations in the system variables and their ...parametric polynomial kernel regression (related to Radial Basis Function networks ...

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Vol 6, No 6 (2015)

Vol 6, No 6 (2015)

... differential equations with Hopfield neural network ...differential equations using feed-forward neural network architecture and 𝐵𝐵 1 ...fuzzy polynomial equations and systems of fuzzy ...

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AFSII Pune2017

AFSII Pune2017

... In this section we discuss criteria for a system of polynomial equations to have finitely many solutions. We also find an upper bound for the number of solutions. We will then discuss how eigenvalues of ...

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Adomian Polynomial and Elzaki Transform Method for Solving Sine-Gordon Equations

Adomian Polynomial and Elzaki Transform Method for Solving Sine-Gordon Equations

... This paper is structured as follows: Section 2 contains the basic definitions and the properties of the proposed method. Section 3 shows the theoretical approach of the proposed method on Sine Gordon equations. In ...

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Polynomial solutions of differential equations

Polynomial solutions of differential equations

... monic polynomial of degree n which is an eigenfunction of the operator L , for every non-negative integer n ...with polynomial coefficients and polynomial solutions, as well as cases missed by him - ...

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Polynomial spline collocation methods for second order Volterra integrodifferential equations

Polynomial spline collocation methods for second order Volterra integrodifferential equations

... these equations, many other interesting methods for the approximated solution and stability procedures are available in earlier literatures [1, 3, 4, 5, 6, 7, 8, ...

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Biharmonic equations with improved subcritical polynomial growth and subcritical exponential growth

Biharmonic equations with improved subcritical polynomial growth and subcritical exponential growth

... elliptic equations with subcritical polynomial growth and subcritical exponential growth by using a suitable version of the mountain pass theorem and the symmetric mountain pass ...

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The use of non polynomial interpolants in the numerical solution of ordinary differential equations

The use of non polynomial interpolants in the numerical solution of ordinary differential equations

... THE USE OF NON-POLYNOMIAL INTERPOLANTS IN THE NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS Brian Shaw A Thesis Submitted for the Degree of PhD at the University of St Andrews.. [r] ...

169

On the Positive Integer Solutions for a Diophantine Equation

On the Positive Integer Solutions for a Diophantine Equation

... a polynomial equation ( , , ⋯ , ) = 0 where the polynomial has integral coefficients and one is interested in solutions for which all the unknowns take integer ...

5

A new method for constructing exact solutions for a time-fractional differential equation

A new method for constructing exact solutions for a time-fractional differential equation

... Differential Equations: An Introduction to Fractional Derivatives, Frac- tional Differential Equations, to Methods of Their Solution and Some of Their Applications, Academic Press, ...

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