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Exact(6)

The QR matrix decomposition of is used to achieve this goal [27].

In this work, we explore the definition of energy function from another aspect, matrix decomposition of Low-rank Representation.

The computational cost of the second-order sensitivities of eigenvectors can be reduced remarkably since the matrix decomposition of the coefficient matrix is available from the computation process of the first-order eigensensitivities.

After that, an algorithm for computing Fast DCT (FDCT) was introduced by Chen et al., in [2] which was based on matrix decomposition of the orthogonal basis function of the cosine transform.

Using the matrix decomposition of Eq. (27) and free additive convolution [30]: R 1 n H R D 1 H H R D 1 ( z ) = R 1 n H ̃ R D 1 α H H ̃ R D 1 α ( z ) + R 1 n H ̃ H H ̃ ( z ) + R 1 n H ̃ R D 1 β H H ̃ R D 1 β ( z ).

The weight vectors α and β can be optimized by solving penalized matrix decomposition of the matrix Z = X T Y (Witten et al., 2009).

Similar(54)

Only after that, the integer matrix decompositions of the reduced boundary operator matrices are used to compute the generators of homology spaces.

The computation of a basis of this quotient space using the bases for and can be done with integer matrix decompositions of the boundary operator matrices, as discussed in [7, 8].

For example, the eigenvalue methods result in matrix decompositions of the original GC-MS data that have no physical meaning [ 48].

In the computer implementation of the SEA program, standard FEM techniques are used to reduce calculation time, including the skyline matrix technique andLDLT-matrix decomposition of the loss factor matrix.

It transforms the problem of polynomial matrix decomposition to the problem of, pointwise in frequency, constant matrix decomposition.

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