Sentence examples for matrix powers from inspiring English sources

Matrix powers are discussed and applied to a problem in graph theory.

where n ∈ N and the superscript in D ( 1 ) denotes matrix powers.

This became possible by replacing the inverse of a matrix-matrix multiplication in the RZF with a sum of weighted matrix powers.

By using Eq. (11), it is clear that frac{d^{n} OB x)}{dx^{n}}=bigl(mathbf{D}^{(1)}bigr)^{n} OB x), (12) where (n inmathbb{N}) and the superscript in (mathbf{D}^{(1)}) denotes matrix powers.

The operational matrix for the nth derivative can be derived as frac{d^{n} phi(x)}{dx^{n}}= bigl(mathbf{D}^{(1)} bigr)^{n} phi(x), (17) where (n in N) and the superscript in ({mathbf{D}}^{(1)}) denotes matrix powers.

We also note that, since Q can be expressed a linear combination of permutation matrices representing elements in a group G, the matrix powers Q, Q, Q… will also be expressible as linear combinations of the same permutation matrices (although precise expressions for the relevant coefficients may or may not be easily computable).

In addition, we give some matrix inequalities on the matrix power mean.

A new way to address the specific spectral behaviour of the scheme is introduced first for wavenumbers in [0,π], following the Matrix Power method.

Since the matrix power series (sum _{n=0}^{infty } zA)^{n}) is a Neumann series (cf. [6]), (F z)=sum _{n=0}^{infty }boldsymbol {w}^{H} zA)^{n}boldsymbol {u}) converges absolutely in the disk D:|z|<|λ1|−1.

Optimization and selection of power for adjacency transition of gene-gene correlation matrix (power =7).

For both algorithms, weighting matrix power factor (p) of 0.5 was used to find the sparse solution equivalent to the l1 solution of CS [ 16].