Search Results - Numerical Algorithms and Problems—computations on polynomials

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  1. 1

    Division-free computation of subresultants using Bezout matrices by Kerber, Michael

    ISSN: 0020-7160, 1029-0265
    Published: Abingdon Taylor & Francis 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
  2. 2

    Control theoretic splines: optimal control, statistics, and path planning (princeton series in applied mathematics). by Egerstedt, Magnus, Martin, Clyde

    ISBN: 0691132968, 9780691132969
    Published: 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
  3. 3

    Ninja: Automated integrand reduction via Laurent expansion for one-loop amplitudes by Peraro, Tiziano

    ISSN: 0010-4655, 1879-2944
    Published: Elsevier B.V 01.10.2014
    Published 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
  4. 4

    Optimal routing and heterogeneous resource allocation for computing-aware networks by Ding, Hongqing, He, Fujun, Zhang, Pengfei, Zhang, Liang, Zhang, Xiaoxiao, Qi, Meiyu

    ISSN: 2405-9595, 2405-9595
    Published: Elsevier B.V 01.06.2024
    Published 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
  5. 5

    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 by UIMP-RSME Santaló Summer School, Montana, Jose Luis, Pardo, L. M. (Luis M.)

    ISBN: 9780821891506, 0821891502
    Published: 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
  6. 6

    Complexity and Real Computation by Blum, Lenore, Cucker, Felipe, Shub, Michael, Smale, Steve

    ISBN: 9781461268734, 1461268737, 9780387982816, 1461207029, 9781461207023, 0387982817
    Published: 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
  7. 7

    Lightweight Precision Inertial Computation based on Chebyshev Polynomial Optimization by Zhu, Maoran, Wu, Yuanxin

    Published: Elektropribor 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
  8. 8

    Fast and accurate method for high order Zernike moments computation by Singh, Chandan, Upneja, Rahul

    ISSN: 0096-3003, 1873-5649
    Published: Elsevier Inc 01.04.2012
    Published 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
  9. 9

    Production and Transportation Integration for a Make-to-Order Manufacturing Company with a Commit-to-Delivery Business Mode by Stecke, Kathryn E, Zhao, Xuying

    ISSN: 1523-4614, 1526-5498
    Published: Linthicum INFORMS 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
  10. 10

    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 by Tsachouridis, Vassilios A

    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
  11. 11

    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 by Tsachouridis, Vassilios A

    ISBN: 9781073289844, 1073289842
    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
  12. 12

    On Computational Aspects of Tchebichef Polynomials for Higher Polynomial Order by Abdulhussain, Sadiq H., Ramli, Abd Rahman, Al-Haddad, Syed Abdul Rahman, Mahmmod, Basheera M., Jassim, Wissam A.

    ISSN: 2169-3536, 2169-3536
    Published: Piscataway IEEE 2017
    Published 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
  13. 13

    Hybrid evolution strategies for simultaneous solving all real roots of polynomial by Ming Zhang, Li Yin, Yongquan Zhou

    ISBN: 9781424479573, 1424479576
    ISSN: 2159-6026
    Published: IEEE 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
  14. 14

    Characterizations of solutions in geochemistry: existence, uniqueness, and precipitation diagram by Erhel, Jocelyne, Migot, Tangi

    ISSN: 1420-0597, 1573-1499
    Published: Cham Springer International Publishing 01.06.2019
    Published 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
  15. 15

    Stabilization-free Virtual Element Method for 2D second order elliptic equations by Berrone, Stefano, Borio, Andrea, Fassino, Davide, Marcon, Francesca

    ISSN: 0045-7825
    Published: Elsevier B.V 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
  16. 16

    Finding Mixed Cells in the Mixed Volume Computation by Li, T Y, Li, Xing

    ISSN: 1615-3375, 1615-3383
    Published: New York Springer Nature B.V 01.01.2001
    Published 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
  17. 17

    Efficient Dynamic Flow Algorithms for Evacuation Planning Problems with Partial Lane Reversal by Pyakurel, Urmila, Nath, Hari Nandan, Dempe, Stephan, Dhamala, Tanka Nath

    ISSN: 2227-7390, 2227-7390
    Published: Basel MDPI AG 01.10.2019
    Published 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
  18. 18

    Multivariate Polynomial Factorization by Interpolation Method by Zhang, Jingzhong, Feng, Yong

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 24.01.2007
    Published 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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    Paper
  19. 19

    Nonnegative splines, in particular of degree five by Oberle, H.J., Opfer, G.

    ISSN: 0029-599X, 0945-3245
    Published: Heidelberg Springer 01.05.1998
    Published in Numerische Mathematik (01.05.1998)
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    Journal Article
  20. 20

    Combining algebraic and numerical methods in algorithm design by Yu, Yanqiang

    ISBN: 9780591836486, 0591836483
    Published: 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