Sentence examples for for some matrices from inspiring English sources

for some matrices with a matrix that converges toward zero, could be called an almost contraction of Perov type.

Compared with the DC implementation in MKL, PHDC can be faster for some matrices with few deflations when using hundreds of processes.

(For example, ({e_{i}}^{T}=[underbrace{0,ldots,0}_{i-1},I,0,ldots,0]).) The notations for some matrices and vectors are defined below (see the Appendix).

For some matrices used in the fast multipole method for dislocation dynamics, the cost of a matrix vector multiplication is reduced from O p6) to O p4.5), where p is the expansion order.

In addition, it is worthy to mention that there exist some other choices for the number in Lemma 2.4 and Theorem 2.5, which may be better than for some matrices.

where the Hermitian positive definite matrix I adm can be written in Kronecker product form as I T T ⊗ I R for some matrices I T and I R.

The linear mapping is the evolution from the 2k-height to the 2 ( n − k ) -height of the directed acyclic graph in Remark 1, which is represented in the natural basis by a ( k + 1 ) -square matrix S r − k (it is the multiplication of some matrices; for details, please refer to Section 3.2).

for some matrix norm on, or (3.9).

Let be an matrix such that for some matrix norm.

For a matrix, the following are equivalent: (a) is a contraction relative to a norm in ; (b) for some induced matrix norm ; (c) for some matrix norm ; (d) ; (e).

If (5.5). is satisfied for some matrix norm on, then there are numbers and such that (5.6).