According to our survey, QRDA can avoid matrix inverting, reduce the orders of matrixes, and speed up the operation of matrices. So, it has bright prospects in chemometrics. The process of the QR Decomposition Algorithm (QRDA) was implemented by an orthogonal and upper triangular matrix ...
This paper outlines a novel two-step method, called principal component analysis (PCA)-RFM, based on the integration of PCA and QR decomposition. In the first step, the PCA-RFM reduces the observational perturbations from the design matrix using the PCA. In the next step, the RFM's ...
These are associated with the isochoric (volume-preserving) part of the deformation, such that, $$\begin{aligned} \text {det}\bar{\textbf{F}} = 1, \quad \text {det}\bar{\textbf{C}} = 1 \end{aligned}$$ (13) The decomposition of the deformation gradient in Eq. (11) allows an...
Moler and Van Loan in39 estimate the complexity of real Schur decomposition to be around 5m3 based on the complexity of the QR decomposition used to create the similarity eigenvectors matrix. By using the most computationally efficient and numerically stable approach for QR decomposition, i.e., ...
In this paper, the QR decomposition is proposed to be employed in the ISI scheme so as to obtain the adaptive over-complete dictionary. It is shown that the QR-ISI outperforms the ISI in terms of the recovered PSNR. Finally, the QR-ISI method could be applied to image denoising. ...
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The deconvolution was done with the least square QR decomposition (LSQR), which is computationally more efficient than singular value decomposition. Since the matrix by PIF is generally a large sparse matrix, memory savings by exploiting sparsity can dramatically streamline the LS calculations [9]. ...
Gram-Schmidt algorithm is one of the fundamental methods in linear algebra, which is mainly used to compute QR decomposition. The classical and modified Gram-Schmidt are both based on level 1 or level 2 BLAS operations which have low cache reuse. In this
Two main operations which are executed in the SRUKF are: QR decomposition (complexity O(N L2)) and Cholesky factor update (O(L2)). The algorithm is in general O(L2), which is less than in case of the EKF (O(L3)) [35]. As it has already been stated, presented coaxial quadrotor ...
(TCM), the cupping method for body weight reduction is supposed to stimulate the corresponding acupoints, dredge the meridians, discharge toxin and clear away heat, promote the quick decomposition of lipids inside the body, reduce and eliminate lipids, so as to realize the effect for general ...