Sentence examples for matrix and u from inspiring English sources
Lemma 2.2 Let A be an n × n positive semidefinite Hermitian matrix and U be an orthogonal projection matrix with rk ( U ) = k.
H l is an ℓ-by-ℓ matrix and u l is an ℓ-dimensional vector.
Y is the m × k scores matrix and U K is then n × k loadings matrix.
Let X, Y be any two sequence spaces, A be an infinite matrix and U be a triangle matrix.
where Λ r ∈ R r × r is a diagonal matrix and U r ∈ R ( n − 1 ) × r.
(L in R^{n times n}) is the Laplacian matrix and (U in R^{n times n}) is the diagonal matrix.
where ⊙ denotes Hadamard (element-wise) product of matrices, and U 0,0=I.
Suppose that U and V are real symmetric matrices and (U >0), (Vge0), α is a positive number.
where are the three eigenvalues of the matrix H, and U is an orthonormal matrix whose columns are the eigenvectors of matrix H.
More specifically, the matrices X and R are decomposed into loadings matrices (W and Q), scores matrices (T and U) and residuals matrices (E X and E R ): (3a) (3b) The columns of the loadings matrices W and Q are the latent variables in which the input and output matrices are decomposed, respectively.
where μ j is the j th singular value of matrix Φ and u j is the j th column vector of matrix U.
