Suchergebnisse - irreducible factorization algorithms

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  1. 1

    Polynomial Factorization Over Henselian Fields von Alberich-Carramiñana, Maria, Guàrdia, Jordi, Nart, Enric, Poteaux, Adrien, Roé, Joaquim, Weimann, Martin

    ISSN: 1615-3375, 1615-3383
    Veröffentlicht: New York Springer US 01.04.2025
    Veröffentlicht in Foundations of computational mathematics (01.04.2025)
    “… We present an algorithm that, given an irreducible polynomial g over a general valued field ( K ,  v …”
    Volltext
    Journal Article
  2. 2

    Edge detection using G-lets based on matrix factorization by group representations von B, Rajathilagam, Rangarajan, Murali

    ISSN: 0031-3203, 1873-5142
    Veröffentlicht: Elsevier Ltd 01.07.2017
    Veröffentlicht in Pattern recognition (01.07.2017)
    “… Features of G-lets Edge Operator:•Geometry of objects in the image are preserved.•Edges are continuous.•Tracking outlines of small objects in cluttered images …”
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    Journal Article
  3. 3

    Factoring polynomials of the form f(xn)∈Fq[x] von Brochero Martínez, F.E., Reis, Lucas

    ISSN: 1071-5797, 1090-2465
    Veröffentlicht: Elsevier Inc 01.01.2018
    Veröffentlicht in Finite fields and their applications (01.01.2018)
    “… (xn). Using this algorithm, we give the complete factorization of xn−1 into irreducible factors in the case where n …”
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    Journal Article
  4. 4

    A characterization of strongly computable finite factorization domains von Soto-Rosa, Geraldo, Ocasio-González, Victor

    ISSN: 0933-5846, 1432-0665
    Veröffentlicht: Heidelberg Springer Nature B.V 01.02.2025
    Veröffentlicht in Archive for mathematical logic (01.02.2025)
    “… It was shown that strongly computable strong finite factorization domains (SCSFFD) have necessarily computable irreducible elements and a computable division algorithm …”
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    Journal Article
  5. 5

    Plane curve germs and contact factorization von van der Hoeven, Joris, Lecerf, Grégoire

    ISSN: 0938-1279, 1432-0622
    Veröffentlicht: Heidelberg Springer Nature B.V 01.01.2025
    “… With a suitable representation of the irreducible components, and whenever the characteristic of the ground field is zero or larger than the degree of the germ, we design a new algorithm …”
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    Journal Article
  6. 6

    Parameter-Transferred Irreducible LSTM for Traffic Data Imputation von Kwon, Jungmin, Park, Hyunggon

    ISSN: 1530-437X, 1558-1748
    Veröffentlicht: New York IEEE 15.07.2024
    Veröffentlicht in IEEE sensors journal (15.07.2024)
    “… We propose an imputation algorithm for missing spatiotemporal data based on long short-term memory (LSTM …”
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    Journal Article
  7. 7

    A characterization of strongly computable finite factorization domains: A Characterization of Strongly von Soto-Rosa, Geraldo, Ocasio-González, Victor

    ISSN: 0933-5846, 1432-0665
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2025
    Veröffentlicht in Archive for mathematical logic (01.02.2025)
    “… It was shown that strongly computable strong finite factorization domains (SCSFFD) have necessarily computable irreducible elements and a computable division algorithm …”
    Volltext
    Journal Article
  8. 8

    Zeroing the Output of Nonlinear Systems Without Relative Degree von Gray, W. Steven, Ebrahimi-Fard, Kurusch, Schmeding, Alexander

    Veröffentlicht: IEEE 22.03.2023
    “… This is achieved by viewing the latter as the symmetric algebra over the commutative polynomials in Lyndon words in order to show that it is a unique factorization domain …”
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    Tagungsbericht
  9. 9

    On dynamic algorithms for factorization invariants in numerical monoids von Barron, Thomas, O'Neill, Christopher, Pelayo, Roberto

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 12.02.2016
    Veröffentlicht in arXiv.org (12.02.2016)
    “… While progress in this field has been accelerated by the use of computer algebra systems, many existing algorithms are computationally infeasible for numerical monoids with several irreducible elements …”
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    Paper
  10. 10

    Plane curve germs and contact factorization: Plane curve germs von van der Hoeven, Joris, Lecerf, Grégoire

    ISSN: 0938-1279, 1432-0622
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2025
    “… With a suitable representation of the irreducible components, and whenever the characteristic of the ground field is zero or larger than the degree of the germ, we design a new algorithm …”
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    Journal Article
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    One-particle many-body Green's function theory: Algebraic recursive definitions, linked-diagram theorem, irreducible-diagram theorem, and general-order algorithms von Hirata, So, Doran, Alexander E, Knowles, Peter J, Ortiz, J V

    ISSN: 1089-7690, 1089-7690
    Veröffentlicht: United States 28.07.2017
    Veröffentlicht in The Journal of chemical physics (28.07.2017)
    “… Six general-order algorithms of MBGF are developed, each implementing one of the three recursions, the ΔMPn method …”
    Weitere Angaben
    Journal Article
  12. 12

    Satellite Unknowns in Irreducible Differential Systems von Panferov, A. A.

    ISSN: 0361-7688, 1608-3261
    Veröffentlicht: Moscow Pleiades Publishing 01.03.2018
    Veröffentlicht in Programming and computer software (01.03.2018)
    “… An algorithm for factorization of differential systems is proposed that is not always applicable but executable in polynomial time …”
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    Journal Article
  13. 13

    Approximate contact factorization of germs of plane curves von van der Hoeven, Joris, Lecerf, Grégoire

    ISSN: 0938-1279, 1432-0622
    Veröffentlicht: Springer Verlag 30.11.2024
    “… With a suitable representation of the irreducible components, and whenever the characteristic of the ground field is zero or larger than the degree of the germ, we design a new algorithm …”
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    Journal Article
  14. 14

    Factorization and irreducibility of composed products von Kölsch, Lukas, Krompholz, Lucas, Kyureghyan, Gohar

    ISSN: 0925-1022, 1573-7586
    Veröffentlicht: New York Springer US 01.03.2025
    Veröffentlicht in Designs, codes, and cryptography (01.03.2025)
    “… Composed products yield a method to construct irreducible polynomials of large composite degrees from irreducible polynomials of lower degrees …”
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    Journal Article
  15. 15

    On Efficient Noncommutative Polynomial Factorization via Higman Linearization von Arvind, V., Joglekar, Pushkar S.

    ISSN: 1016-3328, 1420-8954
    Veröffentlicht: Cham Springer International Publishing 01.12.2025
    Veröffentlicht in Computational complexity (01.12.2025)
    “… = F q is a finite field, we give a randomized algorithm that runs in time polynomial in s , n and log 2 q that computes a factorization of f as a product f = f 1 f 2 …”
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    Journal Article
  16. 16

    Towards toric absolute factorization von Elkadi, M., Galligo, A., Weimann, M.

    ISSN: 0747-7171, 1095-855X
    Veröffentlicht: Elsevier Ltd 01.09.2009
    Veröffentlicht in Journal of symbolic computation (01.09.2009)
    “… This article presents an algorithmic approach to study and compute the absolute factorization of a bivariate polynomial, taking into account the geometry of its monomials …”
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    Journal Article
  17. 17

    Decompositions of Nonlinear Input-Output Systems to Zero the Output von Gray, W Steven, Ebrahimi-Fard, Kurusch, Schmeding, Alexander

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 14.10.2024
    Veröffentlicht in arXiv.org (14.10.2024)
    “… Consider an input-output system where the output is the tracking error given some desired reference signal. It is natural to consider under what conditions the …”
    Volltext
    Paper
  18. 18

    Equal-degree factorization of binomials and trinomials over finite fields von Singh, Manjit, Deepak Sehrawat

    ISSN: 1598-5865, 1865-2085
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2024
    Veröffentlicht in Journal of applied mathematics & computing (01.04.2024)
    “… . Equal-degree factorization (EDF) factors a polynomial whose irreducible factors have the same degree …”
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    Computational aspects of modular forms and Galois representations: how one can compute in polynomial time the value of Ramanujan's tau at a prime. von Couveignes, Jean-Marc, Couveignes, Jean-Marc, Edixhoven, Bas

    ISBN: 9780691142029, 0691142025, 9780691142012, 0691142017, 9781400839001, 1400839009
    Veröffentlicht: Princeton, N.J Princeton University Press 2011
    “… Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, except in some special cases …”
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