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Showing 1 to 20 of 23 for “"orthogonalization"”.
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Orthogonalization techniques for adaptive filters
The rate of convergence and the computational complexity of an adaptive algorithm are two essential criteria by which the performance of an adaptive filter is measured. These objectives conflict with one another; each property is successfully achieved at the expense of the other. The principal …
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A blocked orthogonalization method for nonlinear regression
<p>"The blocked orthogonalization algorithm for nonlinear regression developed in this work results from a study of matching problems having certain identifiable characteristics with algorithms which exploit those characteristics. The new algorithm represents an extension of an earlier algorithm by …
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Restarting the Lanczos algorithm for large eigenvalue problems and linear equations.
… of Parlett and Scott's idea of selective orthogonalization and Simon's partial orthogonalization. For linear systems with multiple right-sides, eigenvectors computed during the solution of the first right-hand side can be used to give much faster convergence of the second and subsequent …
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The Sequential Givens method for adjustment computations in photogrammetry
The Givens orthogonalization algorithm is an efficient alternative to the normal equations method for solving many adjustment problems in photogrammetry. The Givens method is one of a class of methods for solving linear systems known generally as orthogonalization or QR methods. It allows for …
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Prescriptive analytics in operations problems : a tree ensemble approach
… treatment effects using the concept of orthogonalization in the classification setting, and derive a novel loss function which can be solved using a range of off-the-shelf machine learning methods. Over a wide range of synthetic data experiments, we show how this approach beats …
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Estudo sobre a qualidade da resposta dinâmica do Método de Superposição dos Modos de Lanczos
… the generation of differents processes of basis orthogonalization were tested. As conclusion, were presented the behavior, limitations and cautions, resultants of this study, of the Lanczos Mode Superposition Method, for the several periods analysed, principally the lowest. Comments about the use …
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Krylov Projection Methods for Model Reduction
… The third, rational power Krylov, avoids orthogonalization and is suited for parallel or approximate computations. The performance of the three algorithms is compared via a combination of theory and examples. Independent of the precise algorithm, a host of supporting tools are also …
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Multiprocessor sparse SVD algorithms and applications
… problem using Lanczos (with or without re-orthogonalization) and subspace iteration methods. Our intent is to extend and refine this knowledge for computing the sparse singular value decomposition on a parallel computer. We emphasize Lanczos, block-Lanczos, subspace iteration, and trace …
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Gain Conditioning for Linear Model Predictive Control
… matrix. In the proposed approach I extend an orthogonalization-based parameter-ranking algorithm, which was originally developed to aid parameter estimation in fundamental models, so it can be used to identify and address gain conditioning problems. The proposed method ranks MVs from most …
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Parallel Sparse Linear Algebra for Homotopy Methods
… GMRES(k) with Householder reflections in its orthogonalization phase is developed. It is shown that the efficiency of linear system solution by the adaptive GMRES(k) algorithm depends on the change in problem difficulty when the problem is scaled. In contrast, a standard GMRES(k) …
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A new block Krylov subspace framework with applications to functions of matrices acting on multiple vectors
… and error bounds for the shifted block full orthogonalization method (Sh-BFOM(m)). Regarding BFOM as the prototypical block Krylov subspace method, we propose another formalism, which we call modified BFOM, and show that block GMRES and the new block Radau-Lanczos method can be regarded as …
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Uncertainty quantification in the dynamic analysis of offshore structures
… PCE (aPCE) approaches, based on Gram-Schmidt orthogonalization, can be used to define polynomials in terms of the uncertain variables and offers a non-parametric option for UQ. An aPCE approach that can systematically account for multivariate stochasticity is developed in this study. Dimension …
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Aging effect on successful reactive-recovery from unexpected slips: a 3D lower extremity joint moment analysis
… on available landmarks using the Gram-Schmidt orthogonalization algorithm. 3D inverse dynamics was implemented to obtained lower extremity joint moments. Magnitude and timing of obtained joint moment patterns during stance phase were subjected to one and two-way analysis of covariance (ANCOVA) …
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Analysis and Implementation Considerations of Krylov Subspace Methods on Modern Heterogeneous Computing Architectures
… on GPUs. Then, a novel two-stage block orthogonalization scheme is introduced that significantly improves the performance of the s-step GMRES algorithm when small step sizes are used. These contributions help make s-step GMRES a more practical method in heterogeneous, and therefore …
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Investigating aquaphotomics for fruit quality assessment
… scatter correction (EMSC) and external parameter orthogonalization (EPO) were used in conjunction with principal component loading of water as an interferent spectrum. They were able to correct for temperature effects by at least a factor of 10 to insignificant levels. It was concluded that the …
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An application of Chebyshev polynomials to the solution of a two-dimensional elliptic boundary-value problem
… is overdetermined, the Gram-Schmidt method of orthogonalization is used. Calculations are done with the aid of a computer code, CDP, developed as part of this dissertation. Two different test problems are solved using a first order finite difference computer code, PDQ-7 as a standard for …
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Orthogonality and convergence of discrete Zernike polynomials
The Zernike polynomials are an infinite set of orthogonal polynomials over the unit disk, which are rotationally invariant. They are frequently utilized in optics, opthal- mology, and image recognition, among many other applications, to describe spherical aberrations and image features. …
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Elastic Response of Acoustic Coating on Fluid-Loaded Rib-Stiffened Cylindrical Shells
Reinforced cylindrical shells are used in numerous industries; common examples include undersea vehicles and industrial piping. Current models typically incorporate approximate theories to determine shell behavior, which have limitations in terms of both thickness and frequency. In addition, many …
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On Ways to Improve Adaptive Filter Performance
… The fast version of the algorithm performs orthogonalization using a forward-backward prediction lattice. We demonstrate the advantages of using NLMS-OCF in a practical application, namely stereophonic acoustic echo cancellation. We find that NLMS-OCF can provide faster convergence, as well …
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