Results 31 to 40 of about 293 (242)
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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Major arcs and moments of arithmetical sequences [PDF]
American Journal of Mathematics, 2020 27 ...
de la Bretèche, Régis +1 more
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Majorization and multiplier sequences
Linear Algebra and its Applications, 2011 The authors show the potential of matrix methods to study spectral properties of hyperbolic polynomials (i.e., polynomials having only real roots), and namely to study multiplier sequences (complex-valued sequences such that coefficient-wise multiplication preserves polynomial hyperbolicity).
Church, Amber +2 more
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Generalized Differentiability Conditions for Newton's Method. [PDF]
, 2002 The use of majorizing sequences is the usual way to prove the convergence of Newton's method. An alternative technique to majorizing sequences is provided in this paper, in which three scalar sequences are used, so that the analysis of convergence is ...
Ezquerro, J.A. [0000-0001-8120-167X] +1 more
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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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A note on major sequences and external activity in trees [PDF]
The Electronic Journal of Combinatorics, 1996 A bijection is given from major sequences of length $n$ (a variant of parking functions) to trees on $\{0,\ldots,n\}$ that maps a sequence with sum ${{n+1}\choose 2} + k$ to a tree with external activity $k$.
Janet Simpson Beissinger, Uri N. Peled
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On the Semi-Local Convergence of a Fifth-Order Convergent Method for Solving Equations
, 2022 We study the semi-local convergence of a three-step Newton-type method for solving nonlinear equations under the classical Lipschitz conditions for first-order derivatives.
Stepan Shakhno +3 more
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Mathematics, 2022 Numerous three-step methods of high convergence order have been developed to produce sequences approximating solutions of equations usually defined on the Euclidean space with a finite dimension.
Ramandeep Behl +3 more
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Generalized Iterative Method of Order Four with Divided Differences
Foundations, 2023 Numerous applications from diverse disciplines are formulated as an equation or system of equations in abstract spaces such as Euclidean multidimensional, Hilbert, or Banach, to mention a few.
Samundra Regmi +2 more
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