Orthogonal polynomial solutions of linear ordinary. Linear differential equations for families of polynomials.

In this paper, the Bernstein Polynomials method and its operational matrices is used to solve multiterm variable order linear fractional differential equation.. The objective of the present paper is to propose a method for determining linear recurring sequences generating linear feedback shift register (LFSR) from primitive polynomials (and vice-versa). The linear

Lie Group Analysis of Second-Order Non-Linear Neutral The paper presents a technique for solving the binary linear programming model in polynomial time. The general binary linear programming problem is transformed into a convex quadratic programming problem. The convex quadratic programming вЂ¦. SINGAPOREAN JOuRNAl Of buSINESS EcONOmIcS, ANd management studies Vol.1, no.10, 2013 68 USING LINEAR PROGRAMMING IN SOLVING THE PROBLEM OF SERVICES COMPANYвЂ™S COSTS. In this paper, the Bernstein Polynomials method and its operational matrices is used to solve multiterm variable order linear fractional differential equation..

Stability and coefficients properites of polynomials ofRead "Orthogonal polynomial solutions of linear ordinary differential equations, Journal of Computational and Applied Mathematics" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.. Techniques for the evaluation of complex polynomial s with one and two variables are introduced.Polynomials arise in may areas such as c ontrol systems, image and signal processing, coding theory,electrical networks, etc., and their evaluat ions are. In this paper, various feedback shift registers were analyzed for generating the rolling code and a polynomial based Key distribution scheme is proposed for secured communication protocol in Wireless Personal Area Network..

Linear Programming in Linear Time When the Dimension Is Fixed The purpose of this paper is to render this surprising and amusing result more accessible to the beginning student in linear algebra. Additionally, among results concerning the structure of polynomial roots, we completely characterize polynomials with pairs of roots that are either multiplicative inverses or additive inverses.. ISSN 1 746-7233, England, UK World Journal of Modelling and Simulation Vol. 7 (2011) No. 1, pp. 40-51 Non polynomial spline solutions for special linear tenth-order boundary value. Denote the linear space of polynomials with real coefficients of degree at most by and define the polynomial by. The polynomial can be written as a scalar product (or dot product) of two -tuples, the monomials up to degree and the coefficients: Introducing the Vandermonde matrix. every polynomial of degree can be written as the product of a matrix and a vector as. The product of a matrix and.

Sadhana Polynomial and its Index of Hexagonal System BabGlobal Journal of Chemistry Vol 1, No 1, April 15, 2015 www.gpcpublishing.com Zagreb indices and their polynomials of the linear parallelogram of benzenoid graph Mohammad Reza Farahani1. This paper is organized as follows; First section introduction, in section II memory polynomial function, section III introduce the SOMA, simulation results are in вЂ¦. In this paper, we have developed a simple algorithm based on approximation of unknown functions in terms of Bernstein polynomials and thereby п¬Ѓnd numerical solutions by converting and solving the generalized system into a system of linear equations for given fi (x)(i = 1, 2)..

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## Solution of Linear Dynamical Systems Using Lucas

A LINEAR R APPROACH TO PREDICTION OF STOCK MARKET. In this paper, various feedback shift registers were analyzed for generating the rolling code and a polynomial based Key distribution scheme is proposed for secured communication protocol in Wireless Personal Area Network., Journal of Economic Dynamics and Control 8 (1984) 341-348. North-Holland ESTIMATION AND SOLUTION OF LINEAR RATIONAL EXPECTATIONS MODELS USING A POLYNOMIAL MATRIX FACTORIZATION C. Ates DAGLI SPSS Inc., Chicago, IL 6061 I, USA John B. TAYLOR.

### Determinants and polynomial root structure International

Construction of Maximum Period Linear Journal Repository. This paper represents the next milestone work вЂ“ using linear state-space approaches to design nonlinear polynomial control systems (in brief, linear state-space approaches в†’ nonlinear polynomial plants). The overall aim of the study is to establish a framework, defined as the U-block model, which provides a generic prototype for using linear state-space-based approaches to design the, In this paper, implementation of BCH (63, 51, t = 2) Encoder and Decoder using VHDL is discussed. The incoming 51 bits are encoded into 63 bit code word using (63, 51) BCH encoder. It can detect and correct up to 2 random errors. The design of an encoder is implemented using Linear Feed Back Shift Register (LFSR) for polynomial division and the decoder design is based on syndrome calculator.

The main point of the current paper is that we think the approach based on high order global polynomial approximations should not be used, and that instead, inference based on local low order polynomials (local linear or local quadratic) is to be preferred. In this paper, we have developed a simple algorithm based on approximation of unknown functions in terms of Bernstein polynomials and thereby п¬Ѓnd numerical solutions by converting and solving the generalized system into a system of linear equations for given fi (x)(i = 1, 2).

Application of Legendre Polynomials in Solving Volterra Integral Equations of the Second Kind Yucheng Liu Department of Mechanical Engineering, University of Louisiana, Lafayette, LA 70504, USA . Abstract. A numerical method is presented in this paper to solve linear Volterra integral equations of the second kind. I n this proposed method, orthogonal Legendre polynomials are employed to This paper extends the classification method to second order non- linear neutral delay differential equation to solvable Lie algebra and obtains the one-parameter Lie group of the corresponding NDDEs.

For linear dynamic systems with uncertain parameters, design of controllers which drive a system from an initial condition to a desired final state, limited by state constraints during the transition is a nontrivial problem. This paper presents a methodology to design a state constrained controller Read "Orthogonal polynomial solutions of linear ordinary differential equations, Journal of Computational and Applied Mathematics" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

In this paper, we introduce a Hermite operational matrix collocation method for solving higher-order linear complex differential equations in rectangular or elliptic domains. We show that based on a linear algebra theorem, the use of different polynomials such as Hermite, Bessel and Taylor in polynomial collocation methods for solving The procedure for obtaining a closed system of the filtering equations for any polynomial state over linear observations is then established, which yields the explicit closed form of the filtering equations in the particular case of a third-order state equation. In the example, performance of the designed optimal filter is verified against a conventional extended KalmanвЂ“Bucy filter

This paper presents a novel non-linear polynomial function for reducing PAPR in OFDM system. The idea is to pass the The idea is to pass the OFDM signal through a pre non-linear polynomial function as shown in figure 1, which will reduce the high peaks of thr Legendre-coefficients Comparison Methods for the Numerical Solution of a Class of Ordinary Differential Equations Olagunju, A. S. and Olaniregun, D.G. (Department of Mathematics and Statistical Sciences, Kwara state University, Malete, Nigeria) Abstract We explore the : use of Legendre polynomials of the first kind in solving constant coefficients, non-homogenous differential equations. To

Legendre-coefficients Comparison Methods for the Numerical Solution of a Class of Ordinary Differential Equations Olagunju, A. S. and Olaniregun, D.G. (Department of Mathematics and Statistical Sciences, Kwara state University, Malete, Nigeria) Abstract We explore the : use of Legendre polynomials of the first kind in solving constant coefficients, non-homogenous differential equations. To In this paper, adaptive baseband polynomial predistortion techniques are introduced to counter-balance the AM/AM and AM/PM non-linear effects of the transmit power amplifier. The proposed polynomial predistortion scheme is based on polar coordinate representation. Both LMS and RLS concepts are used to derive the adaptive algorithms. An enhanced LMS-based algorithm with fast convergence and low

### (PDF) A polynomial-time algorithm for linear optimization

Semi-Analytic Solution of Non-Linear RRP JOURNALS. Training and Testing Low-degree Polynomial Data Mappings via Linear SVM 2. Linear and Nonlinear SVM Assume training instance-label pairs are (x, The procedure for obtaining a closed system of the filtering equations for any polynomial state over linear observations is then established, which yields the explicit closed form of the filtering equations in the particular case of a third-order state equation. In the example, performance of the designed optimal filter is verified against a conventional extended KalmanвЂ“Bucy filter.

### (PDF) Solving Polynomial Algebraic Equations of the Stand

Linear differential equations for families of polynomials. In this paper, we compute the Sadhana polynomial and its index of an important class of benzenoid system. Let G be an arbitrary graph. Two edges e=uv and f=xy of G are called co-distant (briefly: e co f) if they obey the topologically parallel edges relation. In this paper, gegenbauer polynomials was used to get numerical solution of linear complex differential equations. The equations in the form of matrix polynomial were occurred.

The Zolotarev polynomial linear array distribution is optimum for difference pattern synthesis in the same sense as the DolphвЂ“Chebyshev distribution is for sum synthesis. In this paper, tables of numerical data that are not readily available elsewhere are given for the synthesis of such distributions. Abstract: In this paper, a modified numerical algorithm for solving the fractional diffusion equation is proposed. Based on Tau idea where the shifted Legendre polynomials in вЂ¦

1. Introduction 4 not suggested. This paper concentrates on improving the polynomial interpolation stage of the hybrid method, for oversampling ratios of 2, 4, 8, 16 and 32 on the oversampling stage. For linear dynamic systems with uncertain parameters, design of controllers which drive a system from an initial condition to a desired final state, limited by state constraints during the transition is a nontrivial problem. This paper presents a methodology to design a state constrained controller

Journal of Economic Dynamics and Control 8 (1984) 341-348. North-Holland ESTIMATION AND SOLUTION OF LINEAR RATIONAL EXPECTATIONS MODELS USING A POLYNOMIAL MATRIX FACTORIZATION C. Ates DAGLI SPSS Inc., Chicago, IL 6061 I, USA John B. TAYLOR The paper is organized as follows: In Section 2, basic properties of the second kind Chebyshev polynomials are presented. In Section 3, we discuss how to вЂ¦

In this paper, we introduce a Hermite operational matrix collocation method for solving higher-order linear complex differential equations in rectangular or elliptic domains. We show that based on a linear algebra theorem, the use of different polynomials such as Hermite, Bessel and Taylor in polynomial collocation methods for solving this paper, by applying linear regression for predicting behavior of S&P 500 index, we prove that our proposed method has a similar and good performance in comparison to real volumes and the stockholders can invest confidentially based on that. KEYWORDS Stock Market, Stock index, S&P 500, Data Mining, Regression, Dataset 1. INTRODUCTION Predicting the stock market due to its вЂ¦

In this paper, we present linear differential equations for the generating functions of the Poisson-Charlier, actuarial, and Meixner polynomials. Also, we give an application for each case. Kim et al. Journal of Inequalities and Applications polynomials Taekyun Kim 0 1 4 Dae San Kim 0 3 Toufik Global Journal of Chemistry Vol 1, No 1, April 15, 2015 www.gpcpublishing.com Zagreb indices and their polynomials of the linear parallelogram of benzenoid graph Mohammad Reza Farahani1

arXiv:quant-ph/9704027v1 14 Apr 1997 An Exact Quantum Polynomial-Time Algorithm for SimonвЂ™s Problem Gilles Brassardв€— DeВґpartement IRO UniversiteВґ de MontreВґal In this paper, by examining the coefficients of a given polynomial, we derive sufficient conditions for the zeros of the polynomial to be either inside the unit disk in the complex plane or at least one zero not inside the unit disk. The results are easily verifiable and provide handy ways of

User29 saysRead "Optimal filtering for polynomial system states with polynomial multiplicative noise, International Journal of Robust and Nonlinear Control" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. ISSN 1 746-7233, England, UK World Journal of Modelling and Simulation Vol. 7 (2011) No. 1, pp. 40-51 Non polynomial spline solutions for special linear tenth-order boundary value Training and Testing Low-degree Polynomial Data Mappings via Linear SVM 2. Linear and Nonlinear SVM Assume training instance-label pairs are (x The analysis of the polynomials shows that the third order polynomial gives the best relationship between the analog input and ADC output. The accuracy of the algorithm is tested in measuring the root

User4 saysLegendre-coefficients Comparison Methods for the Numerical Solution of a Class of Ordinary Differential Equations Olagunju, A. S. and Olaniregun, D.G. (Department of Mathematics and Statistical Sciences, Kwara state University, Malete, Nigeria) Abstract We explore the : use of Legendre polynomials of the first kind in solving constant coefficients, non-homogenous differential equations. To This paper represents the next milestone work вЂ“ using linear state-space approaches to design nonlinear polynomial control systems (in brief, linear state-space approaches в†’ nonlinear polynomial plants). The overall aim of the study is to establish a framework, defined as the U-block model, which provides a generic prototype for using linear state-space-based approaches to design the The analysis of the polynomials shows that the third order polynomial gives the best relationship between the analog input and ADC output. The accuracy of the algorithm is tested in measuring the root Techniques for the evaluation of complex polynomial s with one and two variables are introduced.Polynomials arise in may areas such as c ontrol systems, image and signal processing, coding theory,electrical networks, etc., and their evaluat ions are

User37 saysTechniques for the evaluation of complex polynomial s with one and two variables are introduced.Polynomials arise in may areas such as c ontrol systems, image and signal processing, coding theory,electrical networks, etc., and their evaluat ions are Techniques for the evaluation of complex polynomial s with one and two variables are introduced.Polynomials arise in may areas such as c ontrol systems, image and signal processing, coding theory,electrical networks, etc., and their evaluat ions are World Journal of Young Researchers 2013;3(1):23-30. In this paper, Numerical algorithm is adopted to solve strong coupled nonlinear system of Ordinary Differential Equations. The research work aimed at obtaining series solutions to boundary valued problems. This method shows an accurate and efficient technique in comparison with numerical solutions. Adomian Decomposition method provides highly them is the set of linear polynomials that appear in the linear clause. In Section 3 we de ne the proof system SRES which incorporates and ex- tends the s-resoution rule de ned in [6].

User9 saysThis paper is a study of non-linear effects of RF Amplifiers on Communication Systems Performance. High speed data communication is made possible by Multilevel Modulation schemes. This paper вЂ¦ In this paper, the Bernstein Polynomials method and its operational matrices is used to solve multiterm variable order linear fractional differential equation. In this paper, we compute the Sadhana polynomial and its index of an important class of benzenoid system. Let G be an arbitrary graph. Two edges e=uv and f=xy of G are called co-distant (briefly: e co f) if they obey the topologically parallel edges relation. In this paper, we compute the Sadhana polynomial and its index of an important class of benzenoid system. Let G be an arbitrary graph. Two edges e=uv and f=xy of G are called co-distant (briefly: e co f) if they obey the topologically parallel edges relation.