Sentence examples for matrix split and from inspiring English sources

Main failure modes of the Z-pin are: debonding between the Z-pin and matrix, split and rupture of the Z-pin material; these have been taken into account here.

It was also shown that the coefficient matrix, formed by the quadrature coefficients had a dominating lower triangular part, enabling the use of a matrix splitting and Richardson iteration method.

We used a set of phylogenetic trees (consensus network algorithm), inversion distance matrix (split decomposition and Neighbor-Net algorithms), and binary encoding (parsimony-splits algorithm) as intermediate data.

In this paper, by reformulating the complementarity problem (1) as an implicit fixed point equation based on splittings of the system matrix A, we establish an accelerated modulus-based matrix splitting iteration algorithm and show the convergence analysis when the involved matrix of the WNCP is a P-matrix.

In 2010, Bai [10] presented a modulus-based matrix splitting iteration method and showed the convergence when the system matrix is an (H_ -matrix.

Consequently, Zhang [11] proposed two-step modulus-based matrix splitting iteration methods and considered the convergence theory when the system matrix is an (H_ -matrix.

We proposed an algorithm that is not only computationally more convenient to use but also faster than the modulus-based matrix splitting iteration methods and the convergence conditions are presented when the system matrix is a P-matrix.

Six design variables such as frontal area, matrix rod diameter, matrix thickness, matrix rotation speed, split and porosity are considered for optimization.

Some scholars had already stressed the accelerated modulus-based matrix splitting iteration methods for linear complementarity problems and pointed out that the system matrix is either a positive definite matrix or an (H_ -matrix.

Greater severity of corrosion-induced matrix splitting cracks along the length of embedded steel reinforcing bars and subsequent formation of anodic surfaces were found to affect several electrochemical parameters, including increase of the corrosion current and decrease of the ohmic resistance of concrete.

In addition, a fully algebraic preconditioner based on matrix splitting is constructed to make the proposed domain decomposition method even more robust and scalable.