In nuclear engineering, the λ -modes associated with the neutron diffusion equation are applied to study the criticality of reactors and to develop modal methods for the transient analysis. The differential eigenvalue problem that needs to be
Amanda Carreño +5 more
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A sparse decomposition of low rank symmetric positive semi-definite matrices [PDF]
Suppose that $A \in \mathbb{R}^{N \times N}$ is symmetric positive semidefinite with rank $K \le N$. Our goal is to decompose $A$ into $K$ rank-one matrices $\sum_{k=1}^K g_k g_k^T$ where the modes $\{g_{k}\}_{k=1}^K$ are required to be as sparse as ...
Hou, Thomas Y. +2 more
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Jointly Iterative Adaptive Approach Based Space Time Adaptive Processing Using MIMO Radar
To solve the problem of large training samples requirement of space time adaptive processing (STAP), a jointly sparse matrices recovery-based method is proposed for clutter plus noise covariance matrix estimation by exploiting the transmitting waveform ...
Weike Feng +4 more
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SOLUTION TO FLEET SIZE OF DOCKLESS BIKE-SHARING STATION BASED ON MATRIX ANALYSIS [PDF]
Aiming at the problems of the lack of reasonable judgment of fleet size and non-optimization of rebalancing for dockless bike-sharing station, based on the usage characteristics of dockless bike-sharing, this paper demonstrates that the Markov chain is ...
Y. Zhai, J. Liu, J. Du, J. Chen
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Learning short multivariate time series models through evolutionary and sparse matrix computation [PDF]
Multivariate time series (MTS) data are widely available in different fields including medicine, finance, bioinformatics, science and engineering. Modelling MTS data accurately is important for many decision making activities.
Kok, J, Liu, X, Swift, S
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Off-grid direction-of-arrival estimation for wideband noncircular sources
Researchers have recently shown an increased interest in estimating the direction-of-arrival (DOA) of wideband noncircular sources, but existing studies have been restricted to subspace-based methods.
Xiaoyu Zhang +3 more
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DATA ASSIMILATION APPLIED TO PRESSURISED WATER REACTORS [PDF]
Best estimate plus uncertainty is the leading methodology to validate existing safety margins. It remains a challenge to develop and license these approaches, in part due to the high dimensionality of system codes. Uncertainty quantification is an active
Dixon J.R +3 more
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Methods and effective algorithms for solving multidimensional integral equations
Objectives. Integral equations have long been used in mathematical physics to demonstrate existence and uniqueness theorems for solving boundary value problems for differential equations. However, despite integral equations have a number of advantages in
A. B. Samokhin
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Taking advantage of hybrid systems for sparse direct solvers via task-based runtimes [PDF]
The ongoing hardware evolution exhibits an escalation in the number, as well as in the heterogeneity, of computing resources. The pressure to maintain reasonable levels of performance and portability forces application developers to leave the traditional
Bosilca, George +4 more
core +6 more sources
Symbolic algorithm for solving SLAEs with multi-diagonal coefficient matrices
Systems of linear algebraic equations with multi-diagonal coefficient matrices may arise after many different scientific and engineering problems, as well as problems of the computational linear algebra where finding the solution of such a system of ...
Veneva Milena
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