Results 11 to 20 of about 1,922 (249)
Majorizing sequences for iterative methods
Journal of Computational and Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Argyros, Ioannis K., Hilout, Saïd
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Majorizing sequences for Newton’s method from initial value problems
Journal of Computational and Applied Mathematics, 2012 The most restrictive condition used by Kantorovich for proving the semilocal convergence of Newton's method in Banach spaces is relaxed in this paper, providing we can guarantee the semilocal convergence in situations that Kantorovich cannot. To achieve this, we use Kantorovich's technique based on majorizing sequences, but our majorizing sequences are
Miguel A Hernández-Verón
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Upward-closed hereditary families in the dominance order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 The majorization relation orders the degree sequences of simple graphs into posets called dominance orders. As shown by Ruch and Gutman (1979) and Merris (2002), the degree sequences of threshold and split graphs form upward-closed sets within the ...
Michael D. Barrus, Jean A. Guillaume
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SPARSE LOGISTIC PRINCIPAL COMPONENTS ANALYSIS FOR BINARY DATA. [PDF]
Ann Appl Stat, 2010 We develop a new principal components analysis (PCA) type dimension reduction method for binary data. Different from the standard PCA which is defined on the observed data, the proposed PCA is defined on the logit transform of the success probabilities ...
Lee S, Huang JZ, Hu J.
europepmc +5 more sources
Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations
Computation, 2023 A local and semi-local convergence is developed of a class of iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions for first-order divided differences.
Samundra Regmi +3 more
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Major arcs and moments of arithmetical sequences [PDF]
American Journal of Mathematics, 2020 We give estimates for the first two moments of arithmetical sequences in progressions. Instead of using the standard approximation, we work with a generalization of Vaughan's major arcs approximation which is similar to that appearing in earlier work of Browning and Heath-Brown on norm forms.
de la Bretèche, Régis +1 more
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Donsker theorems for diffusions: Necessary and sufficient conditions [PDF]
, 2004 We consider the empirical process G_t of a one-dimensional diffusion with finite speed measure, indexed by a collection of functions F. By the central limit theorem for diffusions, the finite-dimensional distributions of G_t converge weakly to those of a
van der Vaart, Aad, van Zanten, Harry
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Characterizations of majorization on summable sequences
Filomat, 2020 In this paper, we prove a necessary and sufficient condition for majorization on the summable sequence space. For this we redefine the notion of majorization on an infinite dimensional space and therein investigate properties of the majorization. We also prove the infinite dimensional Schur-Horn type and Hardy-Littlewood-P?lya type theorems.
Kosuru, G. Sankara Raju, Saha, Subhajit
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MAJORIZING SEQUENCES FOR NEWTON'S METHOD
Tamkang Journal of Mathematics, 1998 Majorizing sequences for Newton's method are analysed from a new standpoint. As a consequence, we give convergence results under assumptions different from the classical Kantorovich conditions.
Gutiérrez, J. M., Hernández, M. A.
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Degree sequences and majorization
Linear Algebra and its Applications, 1994 The authors define the majorization gap of a degree sequence as the minimum number of successive reverse-unit-transformations required to transform it into a threshold sequence (i.e., the degree sequence of a threshold graph). They deduce a formula for the majorization gap (by establishing a lower bound for it and exhibiting reverse-unit ...
Arikati, Srinivasa R., Peled, Uri N.
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