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A Newton-Kantorovich Inverse Function Theorem in Quasi-Metric Spaces
The purpose of this work is to investigate root finding problems defined on (quasi-)metric spaces, and ranging in Euclidean spaces. The motivation for this line of inquiry stems from recent models in biology and phylogenetics, where problems of great practical significance are cast as optimization problems on (quasi-)metric spaces.
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Optimal transport analysis reveals trajectories in steady-state systems. [PDF]
PLoS Comput Biol, 2021 Zhang S +4 more
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The Privileged Life of a Theoretical Observer. [PDF]
Sol Phys, 2022 Gough D.
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Analytic regularity and stochastic collocation of high-dimensional Newton iterates. [PDF]
Adv Comput Math, 2020 Castrillón-Candás JE, Kon M.
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A new Newton-like method for solving nonlinear equations. [PDF]
Springerplus, 2016 Saheya B, Chen GQ, Sui YK, Wu CY.
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On the Newton–Kantorovich theorem and nonlinear finite element methods [PDF]
Applicationes Mathematicae, 2009 openaire +1 more source
Extension of Newton-Kantorovich Theorem for Subanalytic Equations
Annals of the Alexandru Ioan Cuza University - Mathematics, 2014 openaire +2 more sources
On the iterative methods of linearization, decrease of order and dimension of the Karman-type PDEs. [PDF]
ScientificWorldJournal, 2014 Krysko AV +4 more
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Variational Wasserstein Clustering. [PDF]
Comput Vis ECCV, 2018 Mi L, Zhang W, Gu X, Wang Y.
europepmc +1 more source