Sentence examples for by diagonalizing the matrix from inspiring English sources

Exact(4)

The best way to obtain solutions is to determine the system's eigenvectors, its normal modes, by diagonalizing the matrix equation.

A set of eigenvectors and eigenvalues were identified by diagonalizing the matrix.

The transmission channels are obtained by diagonalizing the matrix product A L = G a ∑ L G r, and can be interpreted as the scattering state through which the current can flow.

(1) and (3) can be mapped onto linear equations, and then solved by diagonalizing the matrix W ij. In both cases, the steady-state solution is given by the dominant eigenvector of W ij. The mapping onto a linear system assumes that the W ij, which consist of the fitness landscape (as given by the A j ) and the mutation landscape (as given by the Q ij ), are constants.

Similar(56)

's are empirically determined by diagonalizing the covariance matrix between ; i.e. is the kth orthonormalized eigenvector of the covariance matrix.

It was done by diagonalizing the correlation matrix and all values were set at maximum unit variance, so the difficulty in analyzing different ranges of data points was avoided.

PCs were calculated by diagonalizing the covariance matrix generated from long timescale (400 ns) explicit solvent MD simulations.

The essential directions of correlated motions during dynamics were then calculated by diagonalizing the covariance matrix Cij.

Principal components (PCs) were generated by diagonalizing the covariance matrix of Cα positions.

Principal component analysis is a well-established mathematical technique for finding the dominant components of variation in a data set, essentially by diagonalizing the covariance matrix.

By diagonalizing the covariance matrix M of size 3 N × 3 N, 3 N eigenvectors with their corresponding eigenvalues are obtained.

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