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The generalized projection methods in countably normed spaces
Journal of Inequalities and Applications, 2021 Let E be a Banach space with dual space E ∗ $E^{*}$ , and let K be a nonempty, closed, and convex subset of E. We generalize the concept of generalized projection operator “ Π K : E → K $\Pi _{K}: E \rightarrow K$ ” from uniformly convex uniformly smooth
Sarah Tawfeek +2 more
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Randomized Projection Learning Method for Dynamic Mode Decomposition
Mathematics, 2021 A data-driven analysis method known as dynamic mode decomposition (DMD) approximates the linear Koopman operator on a projected space. In the spirit of Johnson–Lindenstrauss lemma, we will use a random projection to estimate the DMD modes in a reduced ...
Sudam Surasinghe, Erik M. Bollt
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Duals of Some Constructed $*$-Frames by Equivalent $*$-Frames [PDF]
Sahand Communications in Mathematical Analysis, 2019 Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator.
Azadeh Alijani
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An approximation of solutions of variational inequalities
Fixed Point Theory and Applications, 2005 We use a Mann-type iteration scheme and the metric projection operator (the nearest-point projection operator) to approximate the solutions of variational inequalities in uniformly convex and uniformly smooth Banach spaces.
B. E. Rhoades, Jinlu Li
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Inertial projection methods for solving general quasi-variational inequalities
AIMS Mathematics, 2021 In this paper, we consider a new class of quasi-variational inequalities, which is called the general quasi-variational inequality. Using the projection operator technique, we establish the equivalence between the general quasi-variational inequalities ...
Saudia Jabeen +3 more
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Projecting onto rectangular matrices with prescribed row and column sums
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 In 1990, Romero presented a beautiful formula for the projection onto the set of rectangular matrices with prescribed row and column sums. Variants of Romero’s formula were rediscovered by Khoury and by Glunt, Hayden, and Reams for bistochastic (square ...
Heinz H. Bauschke +2 more
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Sensors, 2023 A high-order Kalman filter for full-dimensional variables is proposed for a class of dynamic systems whose state model and measurement model are both nonlinear.
Deyan Peng, Chenglin Wen, Meilei Lv
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IEEE Access, 2019 The task-based control approach with an activation task mechanism endows a robot the possibility to act complex behaviors in an unstructured environment.
Pei Jiang +3 more
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IEEE Access, 2023 This paper presents a rapidly direct algorithm (RDA) to calculate explicit Fréchet derivatives (EFD) for marine controlled-source electromagnetic measurement (MCSEM) in a three-dimensional (1-D) transversely isotropic (TI) formation.
Bo Chen +4 more
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