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Fundamentals of matrix computations
David S. Watkins
- 01 Jan 1991
TL;DR: This paper focuses on Gaussian Elimination as a model for Iterative Methods for Linear Systems, and its applications to Singular Value Decomposition and Sparse Eigenvalue Problems.
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Abstract: Gaussian Elimination and its Variants Sensitivity of Linear Systems Effects of Roundoff Errors Orthogonal Matrices and the Least Squares Problem Eigenvalues, Eigenvectors and Invariant Subspaces Other Methods for the Symmetric Eigenvalue Problem The Singular Value Decomposition Appendices Bibliography
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Citations
On Plug-and-Play Regularization using Linear Denoisers
TL;DR: In this paper, it was shown that a broader class of linear denoisers can be expressed as a proximal map of some convex regularizer g. This is the case for non-symmetric denoiser.
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Impact of Outliers Arising From Unintended and Unknowingly Included Subpopulations on the Decisions About the Number of Factors in Exploratory Factor Analysis
Yan Liu,Bruno D. Zumbo +1 more
TL;DR: In this article, the authors investigate how outliers from an unintended and unknowingly included subpopulation affected the decisions about the number of factors to retain using four commonly used methods separately.
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A low-complexity channel estimator for OFDM systems in multipath fading channels
Jie Zhu,Wookwon Lee +1 more
- 05 Sep 2004
TL;DR: A new simplified MMSE channel estimator for OFDM systems in multipath fading channels is presented, primarily based on the rank-reduction of the channel correlation matrix in the frequency domain.
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An integrated, fast and scalable approach for large-scale biological network analysis
Ahmed Shamsul Arefin
- 01 Jan 2013
TL;DR: This work proposes to use a novel, fast and scalable k-Nearest Neighbor (kNN) graph-based approach, and demonstrates its applications in two popular data analysis methods: clustering and centrality analysis.
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Export dynamics as an optimal growth problem in the network of global economy
TL;DR: A dynamical model is set up to identify and quantify plausible mechanisms by which the evolutions of the various exports affect each other, pursued through a stochastic differential description, which warrants a close-to-maximum growth rate under the transient conditions realized in the period covered by data.
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