Suchergebnisse - irreducible factorization algorithms
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Polynomial Factorization Over Henselian Fields
ISSN: 1615-3375, 1615-3383Veröffentlicht: New York Springer US 01.04.2025Veröffentlicht 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 …”
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Edge detection using G-lets based on matrix factorization by group representations
ISSN: 0031-3203, 1873-5142Veröffentlicht: Elsevier Ltd 01.07.2017Veröffentlicht 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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Factoring polynomials of the form f(xn)∈Fq[x]
ISSN: 1071-5797, 1090-2465Veröffentlicht: Elsevier Inc 01.01.2018Veröffentlicht 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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A characterization of strongly computable finite factorization domains
ISSN: 0933-5846, 1432-0665Veröffentlicht: Heidelberg Springer Nature B.V 01.02.2025Veröffentlicht 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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Plane curve germs and contact factorization
ISSN: 0938-1279, 1432-0622Veröffentlicht: Heidelberg Springer Nature B.V 01.01.2025Veröffentlicht in Applicable algebra in engineering, communication and computing (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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Parameter-Transferred Irreducible LSTM for Traffic Data Imputation
ISSN: 1530-437X, 1558-1748Veröffentlicht: New York IEEE 15.07.2024Veröffentlicht 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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A characterization of strongly computable finite factorization domains: A Characterization of Strongly
ISSN: 0933-5846, 1432-0665Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2025Veröffentlicht 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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Zeroing the Output of Nonlinear Systems Without Relative Degree
Veröffentlicht: IEEE 22.03.2023Veröffentlicht in 2023 57th Annual Conference on Information Sciences and Systems (CISS) (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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On dynamic algorithms for factorization invariants in numerical monoids
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 12.02.2016Veröffentlicht 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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Plane curve germs and contact factorization: Plane curve germs
ISSN: 0938-1279, 1432-0622Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2025Veröffentlicht in Applicable algebra in engineering, communication and computing (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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One-particle many-body Green's function theory: Algebraic recursive definitions, linked-diagram theorem, irreducible-diagram theorem, and general-order algorithms
ISSN: 1089-7690, 1089-7690Veröffentlicht: United States 28.07.2017Veröffentlicht 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 …”
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Satellite Unknowns in Irreducible Differential Systems
ISSN: 0361-7688, 1608-3261Veröffentlicht: Moscow Pleiades Publishing 01.03.2018Veröffentlicht 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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Approximate contact factorization of germs of plane curves
ISSN: 0938-1279, 1432-0622Veröffentlicht: Springer Verlag 30.11.2024Veröffentlicht in Applicable algebra in engineering, communication and computing (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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Factorization and irreducibility of composed products
ISSN: 0925-1022, 1573-7586Veröffentlicht: New York Springer US 01.03.2025Veröffentlicht 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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On Efficient Noncommutative Polynomial Factorization via Higman Linearization
ISSN: 1016-3328, 1420-8954Veröffentlicht: Cham Springer International Publishing 01.12.2025Veröffentlicht 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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Towards toric absolute factorization
ISSN: 0747-7171, 1095-855XVeröffentlicht: Elsevier Ltd 01.09.2009Veröffentlicht 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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Decompositions of Nonlinear Input-Output Systems to Zero the Output
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 14.10.2024Veröffentlicht 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 …”
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Equal-degree factorization of binomials and trinomials over finite fields
ISSN: 1598-5865, 1865-2085Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2024Veröffentlicht 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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Exact and Heuristic Algorithms for Semi-Nonnegative Matrix Factorization
ISSN: 0895-4798, 1095-7162Veröffentlicht: 01.01.2015Veröffentlicht in SIAM journal on matrix analysis and applications (01.01.2015)Volltext
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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.
ISBN: 9780691142029, 0691142025, 9780691142012, 0691142017, 9781400839001, 1400839009Veröffentlicht: 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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