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In particular, iterative methods are commonly used in algorithms for linear systems, least squares problems, and eigenvalue problems, which involve a sparse matrix-vector product in the inner loop.
In Section 4, an effective particular iterative function sequence is provided.
Many other particular iterative algorithms have been also proposed (e.g., [19]).
In order to derive the convergence of the effective particular iterative functions, we first introduce the following Lemma 2 corresponding to Lemma 1.
Let be the sequence solution generated by the particular iterative scheme resulting from (4.1) for any initial conditions when all the functions and are zeroed.
In particular, iterative detection and decoding issues in MIMO systems to achieve near-Shannon capacity limit [2] and performance gain [5] were investigated under the assumption of perfect channel estimation and synchronization.
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In Section 5, considering the well-posed condition and properties mentioned, we select an effective particular initial iterative function, which results in the special iterative functions involved in Section 4 by finite element Newton iterations with default step length.
In particular, several iterative and algebraic multiscale frameworks that seek to reduce the fine-scale residual towards machine precision have been presented.
In particular, an iterative approach has been developed and was used to speed up the convergence of the numerical solution of the energy equation, where the large heat source term poses a computational challenge.
In particular, an iterative learning sliding mode control scheme for wire tension control is developed in this paper, while a disturbance observer is employed to estimate the wire tension for the implementation of sensorless wire tension control.
Considering the analysis described, we select a particular initial iterative function (5.3).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com