Showing 1 - 20 results of 1,854 for search '"The Sylvester ', query time: 0.16s Refine Results
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    The Sylvester Equation and Kadomtsev–Petviashvili System by Wei Feng, Songlin Zhao

    Published 2022-03-01
    Subjects: “…Sylvester equation…”
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    Article
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    Sylvester-type matrices for sparse resultants by Nahar Ahmad, Shamsatun, Aris, Nor’aini

    Published 2010
    “…The aim of the study is to infer conditions on the class of polynomial systems that can give a resultant matrix whose size is minimized, that is an optimal or Sylvester-type sparse resultant matrix. From the work of Emiris, the ‘incremental algorithm’ has been claimed to produce optimal matrices for the class of multi-homogeneous (or multigraded) systems of special structure. …”
    Article
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    Iterative methods to solve the constrained Sylvester equation by Siting Yu, Jingjing Peng, Zengao Tang, Zhenyun Peng

    Published 2023-07-01
    “…In this paper, the multiple constraint least squares solution of the Sylvester equation $ AX+XB = C $ is discussed. The necessary and sufficient conditions for the existence of solutions to the considered matrix equation are given. …”
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    Article
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    SYLVESTER–GALLAI TYPE THEOREMS FOR APPROXIMATE COLLINEARITY by ALBERT AI, ZEEV DVIR, SHUBHANGI SARAF, AVI WIGDERSON

    Published 2014-03-01
    “…This can be viewed as a stable variant of the Sylvester–Gallai theorem and its extensions. Building on the recently found connection between Sylvester–Gallai type theorems and complex locally correctable codes (LCCs), we define the new notion of stable LCCs, in which the (local) correction procedure can also handle small perturbations in the Euclidean metric. …”
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    Article
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    Constrainted least squares solution of Sylvester equation by Wenxv Ding, Ying Li, Dong Wang, AnLi Wei

    Published 2021-06-01
    “…In this paper, we study several constrainted least squares solutions of quaternion Sylvester matrix equation. We first propose a real vector representation of quaternion matrix and study its properties. …”
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    Article
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    Computing Sylvester resultant matrix in hermite polynomials by AlSolami, Somiah Merezeeq A

    Published 2019
    “…Then the computation of the Sylvester resultant matrix in the Hermite basis and the representation of Hermite polynomials with Sylvester type determinants are carried out. …”
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    Thesis
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    Some results on counting roots of polynomials and the Sylvester resultant. by Michael Monagan, Baris Tuncer

    Published 2020-04-01
    “…We present two results, the first on the distribution of the roots of a polynomial over the ring of integers modulo n and the second on the distribution of the roots of the Sylvester resultant of two multivariate polynomials. …”
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    Article
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    Construction of Sylvester-Hadamard Matrices by Using Binary Code

    Published 2009-04-01
    “…A simple method is presented which defines Sylvester-Hadamard matrices in terms of products of binary code. …”
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    Gerbert of Aurillac (Pope Sylvester II) as a Clockmaker by Marek Otisk

    Published 2020-09-01
    “…The paper analyses three preserved reports, depicting Gerbert of Aurillac (also known as: of Reims, of Ravenna, of Bobbio, and in 999–1003 as Pope Sylvester II) as a clockmaker. The Benedictine monk William of Malmesbury (died around 1143) writes about clocks Gerbert made in Reims in The History of the English Kings and describes them as arte mechanica compositum. …”
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    Remedies for Misapplications of Sylvester’s Criterion: A Pedagogic Illustration by Clarence C.Y. Kwan

    Published 2021-09-01
    “…Sylvester’s criterion, which verifies the positive definiteness of any real symmetric matrix by examining the signs of all leading principal minors, is an excellent analytical tool. …”
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    Article