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Approximate Implicitization Using Linear Algebra [PDF]
Journal of Applied Mathematics, 2016 In this paper we consider a family of algorithms for approximate implicitization of rational parametric curves and surfaces. The main approximation tool in all of the approaches is the singular value decomposition, and they are therefore well suited to ...
O. Barrowclough, T. Dokken
semanticscholar +1 more source
Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space
Journal of High Energy Physics, 2020 We introduce an algebro-geometrically motived integration-by-parts (IBP) re- duction method for multi-loop and multi-scale Feynman integrals, using a framework for massively parallel computations in computer algebra.
Dominik Bendle +7 more
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Symmetric functions on spaces $\ell_p(\mathbb{{R}}^n)$ and $\ell_p(\mathbb{{C}}^n)$
Karpatsʹkì Matematičnì Publìkacìï, 2020 This work is devoted to the study of algebras of continuous symmetric polynomials, that is, invariant with respect to permutations of coordinates of its argument, and of $*$-polynomials on Banach spaces $\ell_p(\mathbb{R}^n)$ and $\ell_p(\mathbb{C}^n ...
T.V. Vasylyshyn
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Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra
Abstract and Applied Analysis, 2014 The skew-circulant matrix has been used in solving ordinary differential equations. We prove that the set of skew-circulants with complex entries has an idempotent basis. On that basis, a skew-cyclic group of automorphisms and functional equations on the
Zhaolin Jiang, Tingting Xu, Fuliang Lu
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The Matlab Radial Basis Function Toolbox
Journal of Open Research Software, 2017 Radial Basis Function (RBF) methods are important tools for scattered data interpolation and for the solution of Partial Differential Equations in complexly shaped domains.
Scott A. Sarra
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The Largest Subsemilattices of the Endomorphism Monoid of an Independence Algebra [PDF]
, 2014 An algebra $\A$ is said to be an independence algebra if it is a matroid algebra and every map $\al:X\to A$, defined on a basis $X$ of $\A$, can be extended to an endomorphism of $\A$.
Araújo, João +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper is dealed with a special local ring A and modules over A. Some properties of modules, that are constructed over the real plural algebra, are investigated. Moreover a module is constructed over the linear algebra of matrix Mmm(ℝ) and one of its
Erdoğan Fatma Özen +2 more
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Strong Tolerance and Strong Universality of Interval Eigenvectors in a Max-Łukasiewicz Algebra
Mathematics, 2020 The Łukasiewicz conjunction (sometimes also considered to be a logic of absolute comparison), which is used in multivalued logic and in fuzzy set theory, is one of the most important t-norms.
Martin Gavalec +2 more
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The matrix-extended W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ algebra
Journal of High Energy Physics, 2019 We construct a quadratic basis of generators of matrix-extended W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ using a generalization of the Miura transformation.
Lorenz Eberhardt, Tomáš Procházka
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An Algorithm to Simplify Tensor Expressions [PDF]
, 1998 The problem of simplifying tensor expressions is addressed in two parts. The first part presents an algorithm designed to put tensor expressions into a canonical form, taking into account the symmetries with respect to index permutations and the renaming
Bogen +18 more
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