Sentence examples for matrix with singular from inspiring English sources

where, are orthogonal matrices and is a diagonal matrix with singular values on its main diagonal.

where U and V are orthogonal matrices and Σ is an diagonal matrix with singular values on the diagonal.

Λ is a N R ×N T diagonal matrix with singular values ({lambda _{i}} in {{mathbb {R}}^ + }) of H on the main diagonal in decreasing order.

where is an matrix, is an square diagonal matrix with singular values on its diagonal, contains only the first columns of, and contains vectors that belong to s where and.

One can write S = [ S 1, S 2 ], where S 1 is the n × n matrix with singular values along its diagonal, and S 2 is a matrix of order n× p-n) an× p-n its entries and null.

T is a matrix composed of N terms and k singular vectors (or concepts onto which the documents load to varying degrees), S is a singular value matrix with k singular values along its diagonal, and D is a reduced document matrix composed of D documents and k singular vectors.

The implemented identifiability analysis was based on rank-revealing matrix factorizations, with singular values as criteria for parameter selection.

We first perform the singular value decomposition of G as G = UDV t, where D is a diagonal matrix with the singular values.

where Φ is a diagonal M×K matrix with the singular values of A on the diagonal.

Consequently, we conclude that when we use a smaller number of singular values to generate clusters, the quality of the clusters is significantly improved when compared with clusters generated with a matrix with all singular values, independently of algorithm.

Then, the singular value decomposition of X is X= UDV′, where U and V denote the left and right eigenvectors of matrix X, and is the diagonal matrix with the singular values of matrix X. Defining δ= DV′β, it can be shown that (1A) can be written as in de los Campos et al. (2010): where δ= DV′β∼N 0, ).