Results 1 to 10 of about 133 (92)
DC grid load flow solution incorporating generic DC/DC converter topologies
Energy Reports, 2023 This research proposes a load flow (LF) solver with DC/DC converter models for DC distribution. The solver is based on modified-augmented-nodal-analysis (MANA) formulation and is implemented with the Newton–Raphson (NR) algorithm.
Zahid Javid +3 more
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Stochastic control liaisons: Richard Sinkhorn meets gaspard monge on a schr\uf6dinger bridge [PDF]
, 2021 In 1931-1932, Erwin Schr\uf6dinger studied a hot gas Gedankenexperiment (an instance of large deviations of the empirical distribution). Schr\uf6dinger's problem represents an early example of a fundamental inference method, the so-called maximum entropy
Chen, Y., Georgiou, T. T., Pavon, M.
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Extensions of Kantorovich-type theorems for Newton’s method [PDF]
Applicationes Mathematicae, 2020 Summary: We extend the applicability of Newton's method, so we can approximate a locally unique solution of a nonlinear equation in a Banach space setting in cases not covered before. To achieve this, we find a more precise set containing the Newton iterates than in earlier works.
Argyros, Ioannis K. +2 more
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Approximation Theorems for Generalized Complex Kantorovich‐Type Operators [PDF]
Journal of Applied Mathematics, 2012 The order of simultaneous approximation and Voronovskaja‐type results with quantitative estimate for complex q‐Kantorovich polynomials (q > 0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∈ ℂ : |z| < R}, R > q, the rate of approximation by the q‐Kantorovich ...
Mahmudov, N. I., Kara, M.
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Extended Newton–Kantorovich Theorem for Solving Nonlinear Equations
Foundations, 2022 The Newton–Kantorovich theorem for solving Banach space-valued equations is a very important tool in nonlinear functional analysis. Several versions of this theorem have been given by Adley, Argyros, Ciarlet, Ezquerro, Kantorovich, Potra, Proinov, Wang, et al. This result, e.g., establishes the existence and uniqueness of the solution.
Samundra Regmi +3 more
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How good are Global Newton methods? Part 2 [PDF]
, 1988 Newton's method applied to certain problems with a discontinuous derivative operator is shown to be effective. A global Newton method in this setting is exhibited and its computational complexity is estimated.
Day, Philip J. +4 more
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Mètode de Newton en espais de Banach: teorema de Kantorovich i aplicacions [PDF]
, 2021 Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Joan Carles Tatjer i Montaña[en] Let the equation $F x=\overrightarrow{0}$, where $F: X \mapsto Y, X$ and $Y$ are Banach spaces of like ...
Fernández Benítez, Daniel
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Remarks on the Afriat's Theorem and the Monge-Kantorovich Problem [PDF]
SSRN Electronic Journal, 2013 The famous Afriat's theorem from the theory of revealed preferences establishes necessary and suffient conditions for existence of utility function for a given set of choices and prices. The result on existence of a {\it homogeneous} utility function can be considered as a particular fact of the Monge-Kantorovich mass transportation theory.
Kolesnikov, Alexander V. +2 more
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Towards a Political Economy of the Hunters and Gatherers: A Study in Historical Materialism [PDF]
, 2009 This paper uses the mode of production of the hunter-gatherers as a background to explain basic economic concepts, in particular the meaning of the labour theory of value and it's relationship to optimization of resources.
Hagendorf, Klaus
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The Krawczyk operator and Kantorovich's theorem
Journal of Mathematical Analysis and Applications, 1990 The paper deals with the comparison of Kantorovich's test for the existence of a solution of a system of nonlinear equations of the form \(F(x)=0\) and a modification of Moore's existence test based on the Krawczyk operator. The modification involves a suitable slope instead of the Jacobian matrix \(F'\) and is proved to require less computational work
Neumaier, Arnold, Zuhe, Shen
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