Sentence examples for be the singular value from inspiring English sources

Let be the singular value decomposition of the data.

Let (Sigma= UAV^{H} ) be the singular value decomposition of the matrix A with order n.

The optimal decoding matrix U and encoding matrix V should be the singular value decomposition (SVD) of H.

More particularly, let R=USV T be the singular value decomposition of the obtained Gram matrix, after rank reduction and normalization.

Venkatesan et al. [13] have proved that the optimal transmit covariance Q has the same eigenvectors as the channel mean matrix H μ. Let H μ = U μ Σ μ V μ H (7). be the singular value decomposition (SVD) of channel mean matrix H μ, and Q = U Q Σ Q U Q H (8). be the spectral decomposition of Q.

In detail, let H ̂ k ( c ) ( t ) = U ̂ k ( c ) ( t ) Σ ̂ k ( c ) ( t ) V ̂ k ( c ) H ( t ) be the singular value decomposition (SVD) of matrix H ̂ k ( c ) ( t ), where the eigenvalues in Σ ̂ k ( c ) ( t ) are arranged so that the ones selected for transmission toward UE k appear in the leftmost columns.

Let (s_{1}geq s_{2} geqcdotsgeq s_{n}) and (delta_{1}geqdelta_{2} geq cdotsgeqdelta_{n}) be the singular values of the complex matrices (A=(a_{ij}) inmathbb{C}^{ntimes n}) and (B=(b_{ij}) inmathbb{C}^{ntimes n}), respectively.

Let λ i and γ i be the singular values of H and (tilde {mathbf {W}}), respectively, both in non-increasing order, i.e., λ 1≥⋯≥λ r ≥0 and γ 1≥⋯≥γ r ≥⋯≥γ K ≥0.

Core of PCA is the singular value decomposition (SVD) of the matrix containing the calibration spectra.

where and is the singular value of and the singular values are in descending order,.

The vertical coordinate is the singular value, and the horizontal coordinate is the index of the singular value.