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Relevant bibliographies by topics / Polynomial transformations

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Academic literature on the topic 'Polynomial transformations'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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Journal articles on the topic "Polynomial transformations"

1

Dyer, S. A., and J. S. Dyer. "Arbitrary polynomial transformations." IEEE Instrumentation & Measurement Magazine 3, no. 2 (2000): 38–40. http://dx.doi.org/10.1109/5289.846262.

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Tasena, Santi. "Polynomial copula transformations." International Journal of Approximate Reasoning 107 (April 2019): 65–78. http://dx.doi.org/10.1016/j.ijar.2019.01.010.

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LEROY, ANDRÉ. "NONCOMMUTATIVE POLYNOMIAL MAPS." Journal of Algebra and Its Applications 11, no. 04 (2012): 1250076. http://dx.doi.org/10.1142/s0219498812500764.

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Polynomial maps attached to polynomials of an Ore extension are naturally defined. In this setting we show the importance of pseudo-linear transformations and give some applications. In particular, factorizations of polynomials in an Ore extension over a finite field 𝔽q[t;θ], where θ is the Frobenius automorphism, are translated into factorizations in the usual polynomial ring 𝔽q[x].

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AlQudah, Mohammad, and Maalee AlMheidat. "Generalized Shifted Chebyshev Koornwinder’s Type Polynomials: Basis Transformations." Symmetry 10, no. 12 (2018): 692. http://dx.doi.org/10.3390/sym10120692.

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Approximating continuous functions by polynomials is vital to scientific computing and numerous numerical techniques. On the other hand, polynomials can be characterized in several ways using different bases, where every form of basis has its advantages and power. By a proper choice of basis, several problems will be removed; for instance, stability and efficiency can be improved, and numerous complications can be resolved. In this paper, we provide an explicit formula of the generalized shifted Chebyshev Koornwinder’s type polynomial of the first kind, T r * ( K 0 , K 1 ) ( x ) , using the Be

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Korchagin, Anatoly B. "On birational monomial transformations of plane." International Journal of Mathematics and Mathematical Sciences 2004, no. 32 (2004): 1671–77. http://dx.doi.org/10.1155/s0161171204306514.

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We study birational monomial transformations of the formφ(x:y:z)=(ϵ1xα1yβ1zγ1:ϵ2xα2yβ2zγ2:xα3yβ3zγ3), whereϵ1,ϵ2∈{−1,1}. These transformations form a group. We describe this group in terms of generators and relations and, for every such transformationφ, we prove a formula, which represents the transformationφas a product of generators of the group. To prove this formula, we use birationally equivalent polynomialsAx+By+CandAxp+Byq+Cxrys. Ifφis the transformation which carries one polynomial onto another, then the integral powers of generators in the product, which represents the transformationφ

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Gallas, Jason A. C. "Equivalence among orbital equations of polynomial maps." International Journal of Modern Physics C 29, no. 09 (2018): 1850082. http://dx.doi.org/10.1142/s0129183118500821.

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This paper shows that orbital equations generated by iteration of polynomial maps do not necessarily have a unique representation. Remarkably, they may be represented in an infinity of ways, all interconnected by certain nonlinear transformations. Five direct and five inverse transformations are established explicitly between a pair of orbits defined by cyclic quintic polynomials with real roots and minimum discriminant. In addition, infinite sequences of transformations generated recursively are introduced and shown to produce unlimited supplies of equivalent orbital equations. Such transform

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Ariznabarreta, Gerardo, Juan C. García-Ardila, Manuel Mañas, and Francisco Marcellán. "Matrix biorthogonal polynomials on the real line: Geronimus transformations." Bulletin of Mathematical Sciences 09, no. 02 (2019): 1950007. http://dx.doi.org/10.1142/s1664360719500073.

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In this paper, Geronimus transformations for matrix orthogonal polynomials in the real line are studied. The orthogonality is understood in a broad sense, and is given in terms of a nondegenerate continuous sesquilinear form, which in turn is determined by a quasi-definite matrix of bivariate generalized functions with a well-defined support. The discussion of the orthogonality for such a sesquilinear form includes, among others, matrix Hankel cases with linear functionals, general matrix Sobolev orthogonality and discrete orthogonal polynomials with an infinite support. The results are mainly

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Rababah, Abedallah. "Transformation of Chebyshev–Bernstein Polynomial Basis." Computational Methods in Applied Mathematics 3, no. 4 (2003): 608–22. http://dx.doi.org/10.2478/cmam-2003-0038.

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AbstractIn this paper, we derive a matrix of transformation of Chebyshev polynomials of the first kind into Bernstein polynomials and vice versa. We also study the stability of these linear maps and show that the Chebyshev–Bernstein basis conversion is remarkably well-conditioned, allowing one to combine the superior least-squares performance of Chebyshev polynomials with the geometrical insight of the Bernstein form. We also compare it to other basis transformations such as Bernstein-Hermite, power-Hermite, and Bernstein–Legendre basis transformations.

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Dancer, E. N., and J. F. Toland. "Real transformations with polynomial invariants." Journal of Geometry and Physics 19, no. 2 (1996): 99–122. http://dx.doi.org/10.1016/0393-0440(95)00026-7.

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GORALČÍK, PAVEL, and VÁCLAV KOUBEK. "RANK PROBLEMS FOR COMPOSITE TRANSFORMATIONS." International Journal of Algebra and Computation 05, no. 03 (1995): 309–16. http://dx.doi.org/10.1142/s0218196795000185.

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Let (X, F) be a pair consisting of a finite set X and a set F of transformations of X, and, let <F> and F(l) denote, respectively, the semigroup generated by F and the part of <F> consisting of the transformations determined by a generator sequence of length no more than a given integer l. We show the following: • The problem whether or not, for a given pair (X, F) and a given integer r, there is an idempotent transformation of rank r in <F> is PSPACE-complete. • For each fixed r≥1, it is decidable in a polynomial time, for a given pair (X, F), whether or not <F> contai

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Dissertations / Theses on the topic "Polynomial transformations"

1

Aihie, Vincent U. "Some quadrature methods for general and singular integrals in one and two dimensions." Thesis, Loughborough University, 1987. https://dspace.lboro.ac.uk/2134/32460.

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In this thesis numerical integration in one and two dimensions is considered. In chapter two transformation methods are considered primarily for singular integrals and methods of computing the transformations themselves are derived. The well-known transformation based on the IMT rule and error function are extended to non-standard functions. The implementation of these rules and their performances are demonstrated. These transformations are then extended to two-dimensions and are used to develop accurate rules for integrating singular integrals. In addition to this, a polynomial transformation

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McInerney, Simon J. "Representations and transformations for multi-dimensional systems." Thesis, Loughborough University, 1999. https://dspace.lboro.ac.uk/2134/28237.

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Multi-dimensional (n-D) systems can be described by matrices whose elements are polynomial in more than one indeterminate. These systems arise in the study of partial differential equations and delay differential equations for example, and have attracted great interest over recent years. Many of the available results have been developed by generalising the corresponding results from the well known 1-D theory. However, this is not always the best approach since there are many differences between 1-D, 2-D and n-D (n > 2) polynomial matrices. This is due mainly to the underlying polynomial ring s

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Parker, Matthew. "Algorithms and architectures for the VLSI implementation of number theoretic transformations, residue and polynomial residue number systems." Thesis, University of Huddersfield, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.281799.

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Moubtahij, Redouane El. "Transformations polynomiales, applications à l'estimation de mouvements et la classification." Thesis, Poitiers, 2016. http://www.theses.fr/2016POIT2268/document.

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Ces travaux de recherche concernent la modélisation de l'information dynamique fonctionnelle fournie par les champs de déplacements apparents à l'aide de base de polynômes orthogonaux. Leur objectif est de modéliser le mouvement et la texture extraites afin de l'exploiter dans les domaines de l'analyse et de la reconnaissance automatique d'images et de vidéos. Nous nous intéressons aussi bien aux mouvements humains qu'aux textures dynamiques. Les bases de polynômes orthogonales ont été étudiées. Cette approche est particulièrement intéressante car elle offre une décomposition en multi-résoluti

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Dridi, Marwa. "Sur les méthodes rapides de résolution de systèmes de Toeplitz bandes." Thesis, Littoral, 2016. http://www.theses.fr/2016DUNK0402/document.

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Cette thèse vise à la conception de nouveaux algorithmes rapides en calcul numérique via les matrices de Toeplitz. Tout d'abord, nous avons introduit un algorithme rapide sur le calcul de l'inverse d'une matrice triangulaire de Toeplitz en se basant sur des notions d'interpolation polynomiale. Cet algorithme nécessitant uniquement deux FFT(2n) est manifestement efficace par rapport à ses prédécésseurs. ensuite, nous avons introduit un algorithme rapide pour la résolution d'un système linéaire de Toeplitz bande. Cette approche est basée sur l'extension de la matrice donnée par plusieurs lignes

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Leguil, Martin. "Cocycle dynamics and problems of ergodicity." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC159/document.

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Le travail qui suit comporte quatre chapitres : le premier est centré autour de la propriété de mélange faible pour les échanges d'intervalles et flots de translation. On y présente des résultats obtenus avec Artur Avila qui renforcent des résultats précédents dus à Artur Avila et Giovanni Forni. Le deuxième chapitre est consacré à un travail en commun avec Zhiyuan Zhang et concerne les propriétés d'ergodicité et d'accessibilité stables pour des systèmes partiellement hyperboliques de dimension centrale au moins égale à deux. On montre que sous des hypothèses de cohérence dynamique, center bun

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Chai, Huayan. "Longitudinal Curves for Behaviors of Children Diagnosed with A Brain Tumor." Digital Archive @ GSU, 2007. http://digitalarchive.gsu.edu/math_theses/22.

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Change in adaptive outcomes of children who are treated for brain tumors is examined using longitudinal data. The children received different types of treatment from none to any combinations of three treatments, which are surgery, radiation and chemotherapy. In this thesis, we use mixed model to find the significant variables that predict change in outcomes of communication skill, daily living skills and socialization skill. Fractional polynomial transformation method and Gompertz method are applied to build non-linear longitudinal curves. We use PRESS as the criterion to compare these two met

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Shen, Ying. "Individual Growth Models of Change in Peabody Picture Vocabulary Scores of Children Treated for Brain Tumors." Digital Archive @ GSU, 2007. http://digitalarchive.gsu.edu/math_theses/41.

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The individual growth model is a relatively new statistical technique. It is now widely used to examine the trajectories of individuals and groups in repeated measures data. This study examines the association of the receptive vocabulary over time and characteristics of children who were treated for brain tumors. The children undertook different types of treatment from one to any combinations of surgery, radiation and chemotherapy. The individual growth model is used to analyze the longitudinal data and to address the issues behind the data. Results of this study present several factors' influ

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Kergourlay, Erwan. "Eléments finis en transformations finies à base d'ondelettes." Thesis, Lorient, 2017. http://www.theses.fr/2017LORIS472/document.

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La modélisation numérique via la méthode des éléments finis utilise classiquement des fonctions de forme polynomiale qui de par leur régularité représentent difficilement des évolutions singulières telles que celles observées dans les phénomènes de localisation en mécanique. Pour pallier cette difficulté, ces travaux de thèse ont eu pour objectif de proposer un nouveau support d'approximation adaptatif couplant la méthode de représentation par ondelettes à la méthode des éléments finis classique. Dans le domaine du traitement du signal, la méthode des ondelettes montre un réel potentiel pour t

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Ahmed, Elsayed. "Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees." Scholar Commons, 2018. https://scholarcommons.usf.edu/etd/7459.

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In this dissertation we study groups of automorphisms of rooted trees arising from the transformations of the boundaries of these trees. The boundary of every regular rooted tree can be endowed with various algebraic structures. The transformations of these algebraic structures under certain conditions induce endomorphisms or automorphisms of the tree itself that can be described using the language of Mealy automata. This connection can be used to study boundarytransformations using the propertiesof the induced endomorphisms, or vice versa.

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Books on the topic "Polynomial transformations"

1

Agaian, S. S. Binary polynomial transforms and nonlinear digital filters. M. Dekker, 1995.

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Kim, Joonil. Multiple-Hilbert transforms associated with polynomials. American Mathematical Society, 2015.

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Dekimpe, Karel. Almost-Bieberbach groups: Affine and polynomial structures. Springer, 1996.

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Almost-Bieberbach groups: Affine and polynomial structures. Springer, 1996.

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Headrick, Todd C. Statistical simulation: Power method polynomials and other transformations. Chapman & Hall/CRC, 2010.

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Headrick, Todd C. Statistical simulation: Power method polynomials and other transformations. Chapman & Hall/CRC, 2010.

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Antoine, Chambert-Loir, Guedj Vincent, and Société mathématique de France, eds. Quelques aspects des systèmes dynamiques polynomiaux. Société mathématique de France, 2010.

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8

Wang, Ruye. Introduction to orthogonal transforms: With applications in data processing and analysis. Cambridge University Press, 2012.

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Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics. American Mathematical Society, 2012.

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An Ergodic IP Polynomial Szemeredi Theorem (Memoirs of the American Mathematical Society). American Mathematical Society, 2000.

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Book chapters on the topic "Polynomial transformations"

1

Gass, Saul I., and Carl M. Harris. "Polynomial-time reductions and transformations." In Encyclopedia of Operations Research and Management Science. Springer US, 2001. http://dx.doi.org/10.1007/1-4020-0611-x_772.

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Giusti, Marc, Daniel Lazard, and Annick Valibouze. "Algebraic transformations of polynomial equations, symmetric polynomials and elimination." In Symbolic and Algebraic Computation. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3-540-51084-2_30.

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Andreescu, Titu. "Polynomial Expressions of Linear Transformations and Matrices." In Essential Linear Algebra with Applications. Springer New York, 2014. http://dx.doi.org/10.1007/978-0-8176-4636-3_8.

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Pan, Victor Y. "Polynomial Evaluation and Interpolation and Transformations of Matrix Structures." In Computer Algebra in Scientific Computing. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02297-0_23.

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Herold, Gottfried, Julia Hesse, Dennis Hofheinz, Carla Ràfols, and Andy Rupp. "Polynomial Spaces: A New Framework for Composite-to-Prime-Order Transformations." In Advances in Cryptology – CRYPTO 2014. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44371-2_15.

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Hangos, Katalin M., and Gábor Szederkényi. "Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems Using Transformations." In Recent Advances in Delay Differential and Difference Equations. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08251-6_3.

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Sridokmai, Tanyaporn, Somchai Prakancharoen, and Nalinpat Porrawatpreyakorn. "Transformation Polynomial Secret Sharing." In Lecture Notes in Electrical Engineering. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-24584-3_45.

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Redfern, Darren. "Polynomials and Common Transformations." In The Maple Handbook. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4757-1146-2_6.

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Michon, Jean-Francis, and Philippe Ravache. "Transformations on Irreducible Binary Polynomials." In Sequences and Their Applications – SETA 2010. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15874-2_13.

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Grosshans, Frank D. "Constructing invariant polynomials via tschirnhaus transformations." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078809.

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Conference papers on the topic "Polynomial transformations"

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Lipkin, Harvey. "On Trigonometric Formulations of Polynomial Equations." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99695.

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The displacement analysis of open and closed kinematic chains is based on polynomial equations whose variables are functions of relative joint displacements. The objective of this paper is to investigate new and interesting properties of the transformations between the canonical cosine-sine polynomials and the even degree tan-half angle polynomials associated with displacement kinematics. Using a homogeneous coordinate formulation, it is shown that the coefficients of the polynomials are linearly related by a projective transformation whose elements can be defined recursively. The canonical co

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Saraiya, Yatin P. "Polynomial-time program transformations in deductive databases." In the ninth ACM SIGACT-SIGMOD-SIGART symposium. ACM Press, 1990. http://dx.doi.org/10.1145/298514.298551.

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Astola, Helena, Radomir S. Stankovic, and Jaakko T. Astola. "Index Generation Functions Based on Linear and Polynomial Transformations." In 2016 IEEE 46th International Symposium on Multiple-Valued Logic (ISMVL). IEEE, 2016. http://dx.doi.org/10.1109/ismvl.2016.20.

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Tonde, Chetan, and Ahmed Elgammal. "Simultaneous Twin Kernel Learning Using Polynomial Transformations for Structured Prediction." In 2014 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2014. http://dx.doi.org/10.1109/cvpr.2014.547.

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Arimura, Hiroki, Hiroki Ishizaka, and Takeshi Shinohara. "Polynomial time inference of a subclass of context-free transformations." In the fifth annual workshop. ACM Press, 1992. http://dx.doi.org/10.1145/130385.130400.

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Demiralp, Metin, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Asymptotically Function Flattening Transformations via Taylor Polynomial and Affine Superoperator over Function Operators." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637830.

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Kumar, K. G., D. Kulkarni, and A. Basu. "Deriving good transformations for mapping nested loops on hierarchical parallel machines in polynomial time." In the 6th international conference. ACM Press, 1992. http://dx.doi.org/10.1145/143369.143390.

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Jones, John, Emma Lewis, Ashrani Abd Rahni, Veni Ezhil, and Kevin Wells. "Mosaics of polynomial transformations giving a patient specific registration to reduce breathing motion artefacts." In 2011 IEEE Nuclear Science Symposium and Medical Imaging Conference (2011 NSS/MIC). IEEE, 2011. http://dx.doi.org/10.1109/nssmic.2011.6152555.

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Ismagilov, I. I., and S. F. Khasanova. "Algorithms of quasi evaluation of polynomial trend of the digital signals based on oblique discrete walsh transformations." In 2016 2nd International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM). IEEE, 2016. http://dx.doi.org/10.1109/icieam.2016.7911545.

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Wang, Kai, Charles A. Phllips, Casey Miller, David G. Laughon, and Michael A. Langston. "Graph Algorithm Alternatives via Polynomial-Time Transformations: An Empirical Study Using Boolean Satisfiability and Integer Linear Programming." In 2017 International Conference on Computational Science and Computational Intelligence (CSCI). IEEE, 2017. http://dx.doi.org/10.1109/csci.2017.21.

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Reports on the topic "Polynomial transformations"

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Degroote, M., T. M. Henderson, J. Zhao, J. Dukelsky, and G. E. Scuseria. Polynomial Similarity Transformation Theory: A smooth interpolation between coupled cluster doubles and projected BCS applied to the reduced BCS Hamiltonian. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1416504.

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