Results 11 to 20 of about 357,436 (278)
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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Kaczmarz method with oblique projection
Results in Applied Mathematics, 2022 The popular randomized Kaczmarz method is a single random orthogonal projection method. In this paper, a single randomized Kaczmarz method with oblique projection is discussed.
Weiguo Li +3 more
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Generalised cellular neural networks (GCNNs) constructed using particle swarm optimisation for spatio-temporal evolutionary pattern identification [PDF]
, 2007 Particle swarm optimization (PSO) is introduced to implement a new constructive learning algorithm for training generalized cellular neural networks (GCNNs) for the identification of spatio-temporal evolutionary (STE) systems.
Billings, S.A., Wei, H.L.
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Performance Analysis of Oblique Projection Filtering Based on Polarization Sensitive Array
Leida xuebao, 2013 The output SINR (Signal to Interference and Noise Ratio) of oblique projection and orthogonal projection filtering based on polarization sensitive array is investigated.
Tian Jing, Liao Gui-sheng, Yang Zhi-wei
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Orthogonal random projection for tensor completion
IET Computer Vision, 2020 The low‐rank tensor completion problem, which aims to recover the missing data from partially observable data. However, most of the existing tensor completion algorithms based on Tucker decomposition cannot avoid using singular value decomposition (SVD ...
Yali Feng, Guoxu Zhou
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Nonlinear orthogonal projection [PDF]
Annales Polonici Mathematici, 1994 Let \(M\neq \emptyset\) be a subset of a metric space \(Z\) and let \(\text{dom }{\mathcal P}\) denote the set of all points \(z \in Z\) for which there exists a unique point in \(M\) which minimizes the distance between \(z\) and \(M\). Then there exists a naturally defined orthogonal projection \(\mathcal P: \text{dom }{\mathcal P}\to M\).
Dudek, Ewa, Holly, Konstanty
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Uncertainty Analysis of Neutron Diffusion Eigenvalue Problem Based on Reduced-order Model
Yuanzineng kexue jishu, 2023 In order to improve the efficiency of core physical uncertainty analysis based on sampling statistics, the proper orthogonal decomposition (POD) and Galerkin projection method were combined to study the application feasibility of reduced-order model ...
In order to improve the efficiency of core physical uncertainty analysis based on sampling statistics, the proper orthogonal decomposition (POD) and Galerkin projection method were combined to study the application feasibility of reduced-order model based on POD-Galerkin method in core physical uncertainty analysis. The two-dimensional two group TWIGL benchmark question was taken as the research object, the key variation characteristics of the core flux distribution were extracted under the finite perturbation of the group constants of each material region, and the full-order neutron diffusion problem was projected on the variation characteristics to establish a reduced-order neutron diffusion model. The reduced-order model was used to replace the full-order model to carry out the uncertainty analysis of the group constants of the material region. The results show that the bias of the mathematical expectation of keff calculated by reduced-order and full-order models is close to 1 pcm. In addition, compared with the calculation time required for uncertainty analysis of full-order model, the analysis time of reduced-order model (including the calculation time of the full-order model required for the construction of reduced-order model) is only 11.48%, which greatly improves the efficiency of uncertainty analysis. The biases of mathematical expectation of keff calculated by reduced-order and full-order models based on Latin hypercube sampling and simple random sampling are less than 8 pcm, and under the same sample size, the bias from the Latin hypercube sampling result is smaller. From the TWIGL benchmark test results, under the same sample size, Latin hypercube sampling method is more recommended for POD-Galerkin reduced-order model.
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Point Orthogonal Projection onto a Spatial Algebraic Curve
Mathematics, 2020 Point orthogonal projection onto a spatial algebraic curve plays an important role in computer graphics, computer-aided geometric design, etc. We propose an algorithm for point orthogonal projection onto a spatial algebraic curve based on Newton’s ...
Taixia Cheng +3 more
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Numerical hyperinterpolation over nonstandard planar regions [PDF]
, 2017 We discuss an algorithm (implemented in Matlab) that computes numerically total-degree bivariate orthogonal polynomials (OPs) given an algebraic cubature formula with positive weights, and constructs the orthogonal projection (hyperinterpolation) of a ...
Sommariva, Alvise, Vianello, Marco
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Some results about g-frames in Hilbert spaces [PDF]
MATEC Web of Conferences, 2022 The concept of g-frame is a natural extension of the frame. This article mainly discusses the relationship between some special bounded linear operators and g-frames, and characterizes the properties of g-frames.
Luo Lan, Leng Jingsong, Xie Tingting
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