Search Results - Hybrid symbolic-numeric algorithms
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Hybrid symbolic-numeric algorithms for computational convex analysis
ISSN: 1617-7061, 1617-7061Published: Berlin WILEY-VCH Verlag 01.12.2007Published in Proceedings in applied mathematics and mechanics (01.12.2007)“… When such tools are not applicable e.g. when there is no closed form, fast transform algorithms perform numerical computation efficiently…”
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Approximate Polynomial GCD by Approximate Syzygies
ISSN: 1661-8270, 1661-8289Published: Cham Springer International Publishing 01.12.2019Published in Mathematics in computer science (01.12.2019)“…One way to compute a GCD of a pair of multivariate polynomials is by finding a certain syzygy. We can weaken this to create an “approximate syzygy”, for the…”
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Error Correction for Symbolic and Hybrid Symbolic-Numeric Sparse Interpolation Algorithms
ISBN: 1303546876, 9781303546877Published: ProQuest Dissertations & Theses 01.01.2013“… Our algorithm is adapted from the linear recurrence-based algorithm of [Prony III (1795), J. de l’École Polytechnique, 1…”
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GENERATING EXACT NONLINEAR RANKING FUNCTIONS BY SYMBOLIC-NUMERIC HYBRID METHOD
ISSN: 1009-6124, 1559-7067Published: Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.04.2013Published in Journal of systems science and complexity (01.04.2013)“…This paper presents a hybrid symbolic-numeric algorithm to compute ranking functions for establishing the termination of loop programs with polynomial guards and polynomial assignments…”
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Transient dynamic analysis of cracked structures with multiple contact pairs using generalized HSNC
ISSN: 0924-090X, 1573-269XPublished: Dordrecht Springer Netherlands 01.04.2019Published in Nonlinear dynamics (01.04.2019)“… The new algorithm is referred to as the…”
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What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications
ISSN: 0036-1445, 1095-7200Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2010Published in SIAM review (01.01.2010)“… Current models use symbolic, numeric, and hybrid symbolic-numeric algorithms. Our objective is to disseminate widely the most efficient numerical algorithms useful for applications in image processing…”
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Computation of polynomial and rational approximations in complex domains by the τ-method
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.06.2025Published in Numerical algorithms (01.06.2025)“… We realize it via a novel hybrid symbolic-numeric algorithm which can be…”
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Exact symbolic–numeric computation of planar algebraic curves
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 17.06.2013Published in Theoretical computer science (17.06.2013)“…We present a certified and complete algorithm to compute arrangements of real planar algebraic curves…”
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What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications
ISSN: 1052-6234, 1095-7189Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009Published in SIAM journal on optimization (01.01.2009)“… Current models use symbolic, numeric, and hybrid symbolic-numeric algorithms. Our objective is to disseminate widely the most efficient numerical algorithms useful for applications in image processing…”
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Exact certification in global polynomial optimization via sums-of-squares of rational functions with rational coefficients
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 2012Published in Journal of symbolic computation (2012)“…We present a hybrid symbolic-numeric algorithm for certifying a polynomial or rational function with rational coefficients to be non-negative for all real values of the variables by computing…”
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The ERES method for computing the approximate GCD of several polynomials
ISSN: 0168-9274, 1873-5460Published: Kidlington Elsevier B.V 2010Published in Applied numerical mathematics (2010)“… on: (i) the use of the basic principles of the ERES methodology for calculating the GCD of a set of several polynomials and defining approximate solutions by developing the hybrid implementation of this methodology…”
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Symbolic-numeric integration of rational functions
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.04.2020Published in Numerical algorithms (01.04.2020)“…We consider the problem of symbolic-numeric integration of symbolic functions, focusing on rational functions…”
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Symbolic, numeric and quantum computation of Hartree-Fock equation
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 18.06.2024Published in arXiv.org (18.06.2024)“…In this article, we discuss how a kind of hybrid computation, which employs symbolic, numeric, classic, and quantum algorithms, allows us to conduct Hartree-Fock electronic structure computation of molecules…”
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What is Hybrid Symbolic-Numeric Computation?
ISBN: 1467302074, 9781467302074Published: IEEE 01.09.2011Published in 2011 13th International Symposium on Symbolic and Numeric Algorithms (01.09.2011)“…Hybrid symbolic-numeric computation constitutes the Fifth of my "Seven Dwarfs" of Symbolic Computation [1…”
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Conference Proceeding -
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Automated Roundoff Error Analysis of Probabilistic Floating-Point Computations
ISSN: 2836-8924, 2836-8924Published: New York, NY ACM 30.09.2025Published in ACM transactions on probabilistic machine learning (30.09.2025)“… with their generating distribution. Based on these results, we propose a model of IEEE floating-point arithmetic for numerical expressions with probabilistic inputs and an algorithm for evaluating this model…”
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Fast differential elimination in C: The CDiffElim environment
ISSN: 0010-4655, 1879-2944Published: Amsterdam Elsevier B.V 15.09.2001Published in Computer physics communications (15.09.2001)“…We introduce the CDiffElim environment, written in C, and an algorithm developed in this environment for simplifying systems of overdetermined partial differential equations by using differentiation and elimination…”
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Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra
ISBN: 9798845496119Published: ProQuest Dissertations & Theses 01.01.2020“…In this thesis, we introduce hybrid symbolic-numeric methods for solving problems in linear and polynomial algebra…”
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Dissertation -
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A Hybrid Symbolic/Numeric Solution To Polynomial SEM
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 20.09.2021Published in arXiv.org (20.09.2021)“… The reason may be that this method requires some symbolic calculations done at runtime. This paper describes the class of appropriate models and outlines the algorithm that calculates the covariance matrix and higher moments…”
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Formal Proofs for Nonlinear Optimization
ISSN: 1972-5787Published: Bologna Universita degli Studi di Bologna 01.01.2015Published in Journal of Formalized Reasoning (01.01.2015)“… the nonlinear maxplus template approximation algorithm to provide a certified lower bound of f over K…”
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A robust and efficient method for solving point distance problems by homotopy
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2017Published in Mathematical programming (01.05.2017)“…The goal of Point Distance Solving Problems is to find 2D or 3D placements of points knowing distances between some pairs of points. The common guideline is to…”
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