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Singular random matrix decompositions: distributions. [PDF]
, 2002 Assuming that Y has a singular matrix variate elliptically contoured distribution with respect to the Hausdorff measure, the distributions of several matrices associated to QR, modified QR, SV and Polar decompositions of matrix Y are determined, for ...
González Farías, Graciela +1 more
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Structured Matrix Methods Computing the Greatest Common Divisor of Polynomials
Special Matrices, 2017 This paper revisits the Bézout, Sylvester, and power-basis matrix representations of the greatest common divisor (GCD) of sets of several polynomials. Furthermore, the present work introduces the application of the QR decomposition with column pivoting ...
Christou Dimitrios +2 more
doaj +1 more source
Key agreement protocol in infinite semigroup representation level
Lietuvos Matematikos Rinkinys, 2007 Matrix decomposition problem over integer ring is presented. Solving methods are discussed and it is showed, that this problem is hard computational problem regard to computer memory resources.
Artūras Katvickis +2 more
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Bayesian Matrix Decomposition and Applications
CoRR, 2023 The sole aim of this book is to give a self-contained introduction to concepts and mathematical tools in Bayesian matrix decomposition in order to seamlessly introduce matrix decomposition techniques and their applications in subsequent sections. However, we clearly realize our inability to cover all the useful and interesting results concerning ...
openaire +3 more sources
Parallel Cholesky Decomposition and Its Application Based on GPU [PDF]
Jisuanji gongcheng, 2019 In the clMAGMA library of OpenCL parallel computing framework,the large size block parallel method is used in the Cholesky decomposition algorithm,which can not make full use of the high speed local memory of GPU,and there are many data transfers between
SHEN Yan,DAI Yuxing
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Singular-Value-Decomposition-Based Matrix Surgery
EntropyThis paper is motivated by the need to stabilise the impact of deep learning (DL) training for medical image analysis on the conditioning of convolution filters in relation to model overfitting and robustness.
Jehan Ghafuri, Sabah Jassim
doaj +1 more source
The Eigenspace Spectral Regularization Method for Solving Discrete Ill-Posed Systems
Journal of Applied Mathematics, 2021 This paper shows that discrete linear equations with Hilbert matrix operator, circulant matrix operator, conference matrix operator, banded matrix operator, TST matrix operator, and sparse matrix operator are ill-posed in the sense of Hadamard.
Fredrick Asenso Wireko +3 more
doaj +1 more source
Sparse Matrix Decompositions For Clustering [PDF]
, 2014 Publication in the conference proceedings of EUSIPCO, Lisbon, Portugal ...
openaire +3 more sources
matrix-toolbox/CHM_CATALOG: v2.2.0
, 2023 Sinkhorn matrices, symmetric and Hermitian ...
matrix-toolbox
core +1 more source