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检索条件"任意字段=Computer Algebra and Polynomials: Applications of Algebra and Number Theory"
596 条 记 录,以下是1-10 订阅
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computer algebra and polynomials: applications of algebra and number theory
Computer Algebra and Polynomials: Applications of Algebra an...
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Workshop on computer algebra and polynomials, 2013
作者: Gutierrez, Jaime University of Cantabria Santander Spain Ricam Linz Linz Austria University of Caen Caen France
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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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On applications of computer algebra systems in queueing theory calculations
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BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES 2024年 第4期72卷
作者: Ziolkowski, Marcin Warsaw Univ Life Sci SGGW Inst Informat Technol Warsaw Poland
In the present paper, the most important aspects of computer algebra systems applications in complicated calculations for classical queueing theory models and their novel modifications are discussed. We mainly present... 详细信息
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The Zeros of Quadratic Coquaternionic polynomials Revisited  1
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24th International Conference on Computational Science and Its applications (ICCSA)
作者: Falcao, Maria Irene Miranda, Fernando Severino, Ricardo Univ Minho CMAT Braga Portugal
In this paper, we address the problem of solving the quadratic equation x(2) + bx + c = 0, where b and c are elements of the algebra of coquaternions. The nature of this algebra leads, as expected, to results very dif... 详细信息
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Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: Analytical and computational consideration
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APPLIED NUMERICAL MATHEMATICS 2024年 197卷 164-185页
作者: Singh, Aman Postnikov, Eugene B. Yadav, Poonam Singh, Vineet Kumar Banaras Hindu Univ Indian Inst Technol Dept Math Sci Varanasi India Kursk State Univ Dept Theoret Phys Radishcheva St 33 Kursk 305000 Russia
In this article, we consider weakly singular Volterra integral equation (WSVIE) with the kernel combining the power-law and logarithmic singularities f(zeta) = Au(zeta) + integral(zeta)(0) log(zeta - eta)u(eta)/(zeta ... 详细信息
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Integrability of matrices
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LINEAR algebra AND ITS applications 2024年 684卷 37-62页
作者: Danielyan, S. Guterman, A. Kreines, E. Pakovich, F. Bar Ilan Univ IL-5290002 Ramat Gan Israel Tel Aviv Univ IL-6997801 Tel Aviv Israel Ben Gurion Univ Negev IL-84105 Beer Sheva Israel
The concepts of differentiation and integration for matrices are known. As far as each matrix is differentiable, it is not clear a priori whether a given matrix is integrable or not. Recently some progress was obtaine... 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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Explicit values of Bernoulli polynomials at rational numbers
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JOURNAL OF MATHEMATICAL ANALYSIS AND applications 2025年 第2期548卷
作者: Munkel, Florian Pehlivan, Lerna Williams, Kenneth S. St Marys Univ Dept Finance Informat Syst & Management Sci 923 Robie St Halifax NS B3H 3C3 Canada Univ Twente Fac Elect Engn Math & Comp Sci Drienerlolaan 5 NL-7522NB Enschede Netherlands Carleton Univ Ctr Res Algebra & Number Theory Sch Math & Stat 1125 Colonel Dr Ottawa ON K1S 5B6 Canada
We give an explicit formula for the value of the Bernoulli polynomial B2k(t) when t is a rational number in the interval (0, 1). When t = 12, 31, 32, 41, 34, 61, 65 the value of B2k(t) is known explicitly. In 1938 Emm... 详细信息
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On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials
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INTERNATIONAL JOURNAL OF number theory 2022年 第9期18卷 1887-1894页
作者: Alahmadi, Adel Luca, Florian King Abdulaziz Univ Res Grp Algebra Struct & Applicat Jeddah Saudi Arabia Univ Witwatersrand Sch Math Johannesburg South Africa King Abdulaziz Univ Res Grp Algebra Struct & Applicat Jeddah Saudi Arabia Max Planck Inst Software Syst Saarbrucken Germany UNAM Ctr Ciencias Matemat Morelia Michoacan Mexico
The k-generalized Fibonacci and Pell polynomials are the polynomials X-k - Xk-1 - Xk-2 -center dot center dot center dot - 1 and X-k - 2X(k-1) - Xk-2 - center dot center dot center dot - 1, respectively. Here, k >=... 详细信息
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Rational Arithmetic with a Round-Off
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COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 2024年 第6期64卷 1143-1158页
作者: Varin, V. P. Russian Acad Sci Keldysh Inst Appl Math Fed Res Ctr Moscow 125047 Russia
Computations on a computer with a floating point arithmetic are always approximate. Conversely, computations with the rational arithmetic (in a computer algebra system, for example) are always absolutely exact and rep... 详细信息
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