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Showing 1 to 11 of 11 for “"QR decomposition"”.
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Parallel QR decomposition for electromagnetic scattering problems
Includes bibliographical references (pages 98-102).
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Smart IP of QR decomposition for rapid prototyping on FPGAs
… substantially different hardware solutions. The QR decomposition (QRD) method is an efficient way of solving linear equation systems using specialized hardware, and is known to be numerically stable [17]. We present the design and FPGA implementation of smart IP (intellectual property) for QRD …
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Complexity reduction in multiple input multiple output algorithms
… the complexity problem associated with the QR decomposition algorithm, which is frequently used as a faster alternative to channel inversion in a MIMO scheme. Channel tracking can be employed with QR equalization in order to reduce the pilot overhead of a MIMO system in a non-stationary …
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Probabilistic Approximations of Matrix Decompositions for Inverse Problems
… A particular focus is approximate matrix decompositions. This thesis makes use of the Sherman-Morrison-Woodbury formula/matrix inversion lemma, Schur Complements, pseudoinverses, the eigenvalue decomposition, the singular value decomposition, the Cholesky decomposition and particularly the …
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Accelerating data-intensive scientific visualization and computing through parallelization
… computing, the research goal is to optimize QR decomposition, which is one primary algebraic decomposition procedure and plays an important role in scientific computing. QR decomposition produces orthogonal bases, i.e.,"core" bases for a given matrix, and oftentimes can be leveraged to build …
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Intelligent Monitoring of Powerline Vibrations - Sparse Sensing and Predictive Modeling Approach
… for time-series prediction, Dynamic Mode Decomposition (DMD) with Tikhonov regularization for stable reduced-order modeling, and estimation algorithms such as Kalman and particle filters for reconstructing full-system states from sparse observations. A pivoted QR decomposition method is …
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Formalisation and execution of Linear Algebra: theorems and algorithms
… the computation of matrix canonical forms and decompositions (such as the Gauss-Jordan algorithm, echelon form, Hermite normal form, and QR decomposition). The formalisation of these algorithms is also accompanied by the formal proofs of their particular applications such as calculation of the …
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Nonlinear dynamic process monitoring using kernel methods
… latent variable-CVA (LLV-CVA), kernel CVA using QR decomposition (KCVA-QRD) and kernel latent variable-CVA (KLV-CVA). LLV-CVA captures both linear and dynamic relations in the process variables. On the other hand, KCVA-QRD and KLV-CVA account for both nonlinearity and pro- cess dynamics. The CVA …
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Line and Generator Outage Identification using Synchrophasor Measurements
… generators may create numerical problems. A QR decomposition based clustering technique is proposed to group generators based on their impacts on available synchrophasor measurements so that the outage can be localized to the originating cluster with zero misidentification. The measurement …
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Matrix probing, skeleton decompositions, and sparse Fourier transform
… elliptic operators in variable media. Skeleton decompositions in sublinear time A skeleton decomposition of a matrix A is any factorization of the form A:CZAR: where A:C comprises columns of A, and AR: comprises rows of A. In this paper, we investigate the conditions under which random sampling …
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Kalibrace vinětace širokoúhlého objektivu
… aproximována pomocí metody nejmenších čtverců s QR rozkladem založeným na Householderových reflexích. Výsledkem je sestavení kalibračního modelu vinětace, reprezentovaného polynomem šestého stupně, který umožňuje efektivní korekci vinětace bez nutnosti použití velké rovnoměrně osvětlené …