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 ...
Molecular Constants QR Decomposition with an Application to the Reduction of Rotational Spectra to Molecular ConstantsQR Decomposition with an Application to the Reduction of Rotational Spectra to Molecular ConstantsBadowski, N
摘要: singular value is good characteristic of a matrix. This article give a description and some examples of application methods in principal component analysis (PCA),image compress, digital water-marking and text categorization.关键词: matrix singular value decomposition application ...
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 paper, a new block Gram-Schmidt alg...
(2022) proposed QoS aware microservice batch placement that improves the granularity of service decomposition. The proposed QoS-aware Multi-objective Set-based Particle Swarm Optimisation is highly scalable and satisfies multiple QoS parameters including throughput, budget and makespan with resource ...
Then with QR-decomposition of this matrix, we compensate for the diagonal vector of R to realize the Lyapunov exponent expansion. Finally, we use the algorithm in a two-dimensional double-scrolls system,the Glass network and a spacecraft power system, and show its correctness and effectiveness ...
This book introduces the main methods and principles of structural seismic response analysis, including the step-by-step integration method, the mode shape superposition method, and the mode shape decomposition response spectrum method. Seismic structure and other structural systems, and special introductio...
Besides, if a case has just one intermediate output/ input, it will compulsorily be at equilibrium, while qr should be unbounded to decide on appropriate value for the performance of intermediate output/inputs. Thus, a positive scalar variable q is introduced and included in the (19), and ...
More specifically, the communications system 100 may be arranged to detect a MIMO system with a method that employs a decomposition of a received MIMO signal to simplify the detection of the MIMO system. More specifically, the decomposition may be a QR decomposition (QRD) for which the matrix ...