Search Results - Numerical Algorithms and Problems—computations on polynomials
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Division-free computation of subresultants using Bezout matrices
ISSN: 0020-7160, 1029-0265Published: Abingdon Taylor & Francis 01.12.2009Published in International journal of computer mathematics (01.12.2009)“…We present an algorithm to compute the subresultant sequence of two polynomials that completely avoids division in the ground domain, generalizing an algorithm given by Abdeljaoued et al. [J. Abdeljaoued, G. Diaz-Toca, and L…”
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Journal Article -
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Control theoretic splines: optimal control, statistics, and path planning (princeton series in applied mathematics).
ISBN: 0691132968, 9780691132969Published: Princeton Princeton University Press 2010“… In this book, they begin with a series of problems ranging from path planning to statistics to approximation…”
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eBook Book -
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Ninja: Automated integrand reduction via Laurent expansion for one-loop amplitudes
ISSN: 0010-4655, 1879-2944Published: Elsevier B.V 01.10.2014Published in Computer physics communications (01.10.2014)“… The algorithm is suited for applications to complex one-loop processes. Program title: Ninja Catalogue identifier…”
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Journal Article -
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Optimal routing and heterogeneous resource allocation for computing-aware networks
ISSN: 2405-9595, 2405-9595Published: Elsevier B.V 01.06.2024Published in ICT express (01.06.2024)“… in CAN. We formulate the problem as an integer linear programming problem. We introduce a polynomial-time algorithm for larger-size problems…”
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Journal Article -
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Recent advances in real complexity and computation : UIMP-RSME Lluís A. Santaló Summer School, recent advances in real complexity and computation, July 16-20, 2012, Universidad Internacional Menéndez Pelayo, Santander, Spain
ISBN: 9780821891506, 0821891502Published: Providence, R.I American Mathematical Society 2013“…?'' These papers cover several aspects of this problem: from numerical to symbolic methods in polynomial equation solving, computational complexity aspects…”
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eBook Book -
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Complexity and Real Computation
ISBN: 9781461268734, 1461268737, 9780387982816, 1461207029, 9781461207023, 0387982817Published: New York, NY Springer New York 1997“… The objects of study are algorithms defined within a formal model of computation. Upper bounds on the computational complexity of a problem are usually derived by constructing and analyzing specific algorithms…”
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eBook -
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Lightweight Precision Inertial Computation based on Chebyshev Polynomial Optimization
Published: Elektropribor 30.05.2022Published in 2022 29th Saint Petersburg International Conference on Integrated Navigation Systems (ICINS) (30.05.2022)“… Numerical results show that the derived polynomial optimization-based algorithm achieves precision and lightweight inertial navigation computation, that is to say, not only reducing the motion noncommutativity error to the machine precision level but possessing much improved computational efficiency against the state of the art…”
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Conference Proceeding -
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Fast and accurate method for high order Zernike moments computation
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 01.04.2012Published in Applied mathematics and computation (01.04.2012)“… They, however, suffer from various errors, such as discretization error, geometric error and numerical integration error…”
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Journal Article -
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Production and Transportation Integration for a Make-to-Order Manufacturing Company with a Commit-to-Delivery Business Mode
ISSN: 1523-4614, 1526-5498Published: Linthicum INFORMS 01.04.2007Published in Manufacturing & service operations management (01.04.2007)“…When a make-to-order manufacturing company adopts a commit-to-delivery business mode, it commits a delivery due date for an order and is responsible for the…”
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Journal Article -
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A unified framework for the numerical solution and analysis of generalized algebraic quadratic matrix equations with engineering and scientific applications : theory and software design and implementation
Published: ProQuest Dissertations & Theses 01.01.2002“… The essential tools for the developments of the numerical algorithms are the probability-1 homotopy methods…”
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Dissertation -
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A unified framework for the numerical solution and analysis of generalized algebraic quadratic matrix equations with engineering and scientific applications : theory and software design and implementation
ISBN: 9781073289844, 1073289842Published: ProQuest Dissertations & Theses 01.01.2002“… The essential tools for the developments of the numerical algorithms are the probability-1 homotopy methods…”
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Dissertation -
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On Computational Aspects of Tchebichef Polynomials for Higher Polynomial Order
ISSN: 2169-3536, 2169-3536Published: Piscataway IEEE 2017Published in IEEE access (2017)“… The common problem of the TP is that the coefficients computation is prone to numerical instabilities when the polynomial order becomes large…”
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Journal Article -
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Hybrid evolution strategies for simultaneous solving all real roots of polynomial
ISBN: 9781424479573, 1424479576ISSN: 2159-6026Published: IEEE 01.08.2010Published in 2010 International Conference on Computer, Mechatronics, Control and Electronic Engineering (01.08.2010)“… algorithms in finding roots of polynomial. Numerical computation results indicate that the algorithm offers effective way to finding real roots of polynomial, high…”
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Conference Proceeding -
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Characterizations of solutions in geochemistry: existence, uniqueness, and precipitation diagram
ISSN: 1420-0597, 1573-1499Published: Cham Springer International Publishing 01.06.2019Published in Computational geosciences (01.06.2019)“…In this paper, we study the properties of a geochemical model involving aqueous and precipitation-dissolution reactions at a local equilibrium in a diluted…”
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Journal Article -
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Stabilization-free Virtual Element Method for 2D second order elliptic equations
ISSN: 0045-7825Published: Elsevier B.V 01.04.2025Published in Computer methods in applied mechanics and engineering (01.04.2025)“… This method is characterized by the definition of new polynomial projections that allow the definition of structure-preserving schemes…”
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Journal Article -
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Finding Mixed Cells in the Mixed Volume Computation
ISSN: 1615-3375, 1615-3383Published: New York Springer Nature B.V 01.01.2001Published in Foundations of computational mathematics (01.01.2001)“… This paper gives a new algorithm for the mixed cell computation via a new formulation of the underlying linear programming problems…”
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Journal Article -
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Efficient Dynamic Flow Algorithms for Evacuation Planning Problems with Partial Lane Reversal
ISSN: 2227-7390, 2227-7390Published: Basel MDPI AG 01.10.2019Published in Mathematics (Basel) (01.10.2019)“… Moreover, the contraflow model with inflow-dependent transit time on arcs is introduced. A strongly polynomial time algorithm to compute approximate solution…”
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Journal Article -
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Multivariate Polynomial Factorization by Interpolation Method
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 24.01.2007Published in arXiv.org (24.01.2007)“… Conventional factorization algorithms use symbolic methods to get exact factors of a polynomial while approximate factorization algorithms use numerical methods to get approximate factors of a polynomial…”
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Nonnegative splines, in particular of degree five
ISSN: 0029-599X, 0945-3245Published: Heidelberg Springer 01.05.1998Published in Numerische Mathematik (01.05.1998)Get full text
Journal Article -
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Combining algebraic and numerical methods in algorithm design
ISBN: 9780591836486, 0591836483Published: ProQuest Dissertations & Theses 01.01.1998“… In the case of multipoint polynomial evaluation and polynomial interpolation, by converting the problem into dense structured matrix computation, we have developed efficient approximation algorithm…”
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Dissertation

