When taking the matrix exponential of an Hermitean matrix M (for example to compute the time evolution operator from the Hamiltonian of a closed system) it is sometimes faster to first diagonalize the ...
This work develops and illustrates a new method of calculating “chemically accurate” electronic wavefunctions (and energies) via a truncated full configuration interaction (CI) procedure, which ...
Vollgraf, Roland, and Klaus Obermayer. "Quadratic optimization for simultaneous matrix diagonalization." IEEE Transactions on Signal Processing 54.9 (2006): 3270-3278 ...
Abstract: For parahermitian polynomial matrices, which can be used, for example, to characterize space-time covariance in broadband array processing, the conventional eigenvalue decomposition (EVD) ...
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Abstract: Two new ordering methods that can be used to reduce the elements in the inverse factors of a sparse matrix are proposed. Compared with all other commonly used ordering methods, the new ...
The solid state exhibits a fascinating variety of phases, which can be stabilized by the variation of external parameters such as temperature, magnetic field and pressure. Until recently, numerical ...