As part of its ‘Go Green’ initiative, Jacobi Group is investing in the sustainable production of coconut shell charcoal, launching research and development efforts on an improved proprietary charring ...
Efficient Shift-and-Invert Preconditioning for Multi-GPU Accelerated Density Functional Calculations
Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Non-Commercial (NC): Only non-commercial uses of the work are permitted. No ...
In electromagnetic transient (EMT) simulations for power systems and inverter-based resources (IBRs), the arrangement of states within the system's linear equations, represented by matrix A in Ax=b, ...
Abstract: This paper addresses the problem of joint diagonalization (JD) of a set of non defective matrices. A new Jacobi-like method that has the advantages of fast and efficient computation as well ...
The subject of periodic Jacobi matrices on trees has evoked interest among mathematical physicists, analysts, and number theorists. We introduce a function of use in the study of these objects and ...
Computing the inverse of a matrix is one of the most important operations in machine learning. If some matrix A has shape n-by-n, then its inverse matrix Ai is n-by-n and the matrix product of Ai * A ...
Taiwanese Journal of Mathematics, Vol. 26, No. 5 (October 2022), pp. 1045-1068 (24 pages) We consider how distribution of eigenvalues depends on boundary conditions of a discrete Laplacian operator on ...
This paper proposes a novel shrinkage estimator for high-dimensional covariance matrices by extending the Oracle Approximating Shrinkage (OAS) of Chen et al. (2009) to target the diagonal elements of ...
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