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检索条件"任意字段=Computer Algebra and Polynomials: Applications of Algebra and Number Theory"
644 条 记 录,以下是11-20 订阅
排序:
A Note on a Problem Proposed by Kim and Lisonek
A Note on a Problem Proposed by Kim and Lisonek
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computer algebra and polynomials: applications of algebra and number theory
作者: Radu, Cristian-Silviu Johannes Kepler Univ Linz Symbol Computat Res Inst A-4040 Linz Austria
Let l a prime number and Phi(l)(X, Y) the modular polynomial of level l. Since this polynomial has integer coefficients one may compute it modulo primes. Petr Lisonek and Yung-Jung Kim compute the polynomial Phi(l)(X,... 详细信息
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Rational Normal Curves as Set-Theoretic Complete Intersections of Quadrics
Rational Normal Curves as Set-Theoretic Complete Intersectio...
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computer algebra and polynomials: applications of algebra and number theory
作者: Torrente, Maria-Laura Univ Genoa Dipartimento Matemat Via Dodecaneso 35 I-16146 Genoa Italy
In the first part of this paper we present a short survey on the problem of the representation of rational normal curves as set-theoretic complete intersections. In the second part we use a method, introduced by Robbi... 详细信息
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Riordan-Krylov matrices over an algebra
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LINEAR algebra AND ITS applications 2022年 636卷 93-114页
作者: Cheon, Gi-Sang Curtis, Bryan Shader, Bryan Sungkyunkwan Univ SKKU Dept Math Suwon 16419 South Korea SKKU Appl Algebra & Optimizat Res Ctr Suwon 16419 South Korea Univ Wyoming Dept Math Laramie WY 82071 USA
This paper introduces Riordan-Krylov matrices. These matrices naturally generalize Riordan matrices by using Krylov matrices and a more general class of algebras in place of formal power series. Fundamental properties... 详细信息
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Power series expansion of the roots of a secular equation containing symbolic elements: computer algebra and Moseley's law
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JOURNAL OF CHEMICAL PHYSICS 2001年 第23期114卷 10265-10269页
作者: Barnett, MP Decker, T Krandick, W Princeton Univ Dept Chem Princeton NJ 08544 USA Univ Paderborn Dept Math & Comp Sci D-33095 Paderborn Germany Drexel Univ Dept Math & Comp Sci Philadelphia PA 19104 USA
We use computer algebra to-expand the Pekeris secular determinant for two-electron atoms symbolically, to produce an explicit polynomial in the energy parameter epsilon, with coefficients that are polynomials in the n... 详细信息
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A Riemann-Hilbert Approach to the Perturbation theory for Orthogonal polynomials: applications to Numerical Linear algebra and Random Matrix theory
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INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2024年 第5期2024卷 3975-4061页
作者: Ding, Xiucai Trogdon, Thomas Univ Calif Davis Dept Stat Davis CA 95616 USA Univ Washington Dept Appl Math Seattle WA 98195 USA
We establish a new perturbation theory for orthogonal polynomials using a Riemann-Hilbert approach and consider applications in numerical linear algebra and random matrix theory. This new approach shows that the ortho...
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Automatic classification of normal forms
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NONLINEAR ANALYSIS-theory METHODS & applications 1998年 第2期34卷 157-190页
作者: Gatermann, K Lauterbach, R FU Berlin Inst Math 1 Fachbereich Math & Informat D-14195 Berlin Germany Konrad Zuse Zentrum Informat Tech D-14195 Berlin Germany Weierstr Inst Angew Anal & Stochast D-10117 Berlin Germany
A systematic and algorithmic approach for the theory of bifurcations with symmetry is presented. Using the computer algebra as a tool, an algorithm is developed for arbitrary group actions. This includes that instead ... 详细信息
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Moving Curve Ideals of Rational Plane Parametrizations
Moving Curve Ideals of Rational Plane Parametrizations
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computer algebra and polynomials: applications of algebra and number theory
作者: D'Andrea, Carlos Univ Barcelona Fac Matemat Gran Via 585 E-08007 Barcelona Spain
In the nineties, several methods for dealing in a more efficient way with the implicitization of rational parametrizations were explored in the computer Aided Geometric Design Community. The analysis of the validity o... 详细信息
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An Invitation to Ehrhart theory: Polyhedral Geometry and its applications in Enumerative Combinatorics
An Invitation to Ehrhart Theory: Polyhedral Geometry and its...
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computer algebra and polynomials: applications of algebra and number theory
作者: Breuer, Felix Johannes Kepler Univ Linz Symbol Computat Res Inst Altenberger Str 69 A-4040 Linz Austria
In this expository article we give an introduction to Ehrhart theory, i.e., the theory of integer points in polyhedra, and take a tour through its applications in enumerative combinatorics. Topics include geometric mo... 详细信息
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Majorization and multiplier sequences
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LINEAR algebra AND ITS applications 2011年 第9期435卷 2132-2139页
作者: Church, Amber Pereira, Rajesh Kribs, David Univ Guelph Dept Math & Stat Guelph ON N1G 2W1 Canada
We present applications of matrix methods to the analytic theory of polynomials. We first show how matrix analysis can be used to give new proofs of a number of classical results on roots of polynomials. Then we use m... 详细信息
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Binomial rings, integer-valued polynomials, and λ-rings
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JOURNAL OF PURE AND APPLIED algebra 2006年 第1期207卷 165-185页
作者: Elliott, Jesse Calif State Univ Camarillo CA 93012 USA
A commutative ring A is said to be binomial if A is torsion-free (as a Z-module) and the element a(a - 1)(a - 2)center dot center dot center dot(a - n + 1)/n! of A circle times(Z) Q lies in A for every a epsilon A and... 详细信息
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