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They have been introduced in a Gaussian context and are obtained by a singular value decomposition of ESWLs.
The reduced basis is made of the leading eigenvectors computed by a Singular Value Decomposition of the snapshot span basis.
A global basis for pMOR can be constructed from the local bases by a singular value decomposition.
Our results are obtained by a singular value thresholding (SVT [22]) algorithm.
Bi-natural orbitals, which are obtained for a pair of wave functions by a singular value decomposition of a reduced transition density matrix were recently proposed [24].
Each signature summarizes its constituent genes as a single expression profile, and is here derived as the first principal component of that set of genes (the factor corresponding to the largest singular value) as determined by a singular value decomposition.
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This is done by performing a singular value decomposition (SVD) on the matrix of data, with each column representing a variable and each row representing a multivariate sample.
By using a singular value decomposition, a linear precoder can be considered as a combination of an input shaper and a multimode beamformer with per-beam power allocation [3] F d = A Σ B ∗, (9).
This is done by computing a singular value decomposition (SVD) of V (which requires O(m r) operations) and declaring that the rank of V is equal to the number of singular values that are larger than a predefined threshold ε th (e.g., ε th =0.1).
Spurious pressure modes are removed by means of a singular value decomposition.
Finally, orthonormality of the codes is achieved by means of a singular value decomposition [3].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com