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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
Iterative Receiver Design for Uplink OFDMA Cooperative Systems
Mohamed Marey,Octavia A. Dobre +1 more
TL;DR: It is shown that the optimal detector can be implemented by a bank of maximum a posteriori algorithms and the CIRs estimation can be computed using the space alternating generalized expectation-maximization algorithm, in which the soft information provided by the detector is utilized as a priori information to refine the estimates.
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The inverse power method for calculation of multiplication factors
Edward J. Allen,R.M. Berry +1 more
TL;DR: In this article, an inverse power method is examined for calculation of the effective multiplication factor in neutron transport problems, and it is shown that the method can be extended to multigroup multidimensional problems.
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On the Bottleneck Concept for Options Discovery: Theoretical Underpinnings and Extension in Continuous State Spaces
Pierre-Luc Bacon
- 01 Jan 2013
TL;DR: An options discovery algorithm is proposed and is the first of its kind to be applicable in continuous state spaces and has running time O(mn2) rather than O(n3) making it suitable to much larger domains than the typical grid worlds.
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Nonconventional Least Squares Optimization for DOA Estimation
TL;DR: In this article, an optimization technique based on the nonconventional least squares approximation to the direction-of-arrival (DOA) estimation problem is presented. But, unlike the conventional least squares problem, where the number of unknowns is much greater than number of equations and hence it is a very underdetermined problem, this technique is ideally suited for deployment in a complex environment and the entire computation can be done in real time.
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Combinatorial evolution of regression nodes in feedforward neural networks
G.P.J. Schmitz,Chris Aldrich +1 more
TL;DR: A novel algorithm (CERN) is proposed which uses a special form of combinatorial search to optimise groups of neural nodes to achieve significantly better accuracy with fewer nodes than spherical basis nodes optimised by k-means clustering.
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