### TABLE 6.7 SUPERPROFILES CHARACTERISTICS: CLUSTER MEANS COMPARED WITH NATIONAL MEAN (XX) SET TO 100

### Table 4.1: Statistics of node splitting for original power matrix.

1997

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### TABLE 1 Origin-Destination Matrix of Text Network

2007

### Table 5.1: Statistics of the R matrix for the original 1993 by 1993 power matrix.

1997

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### Table 3: Number of zero diagonals in the original matrix and in the Schur complement matrices at each level. The parameters used are the same as those in Table 2.

1999

"... In PAGE 8: ...05 Table 2: Numerical results from solving the coating matrices by the multi-level block ILU preconditioning technique. Table3 shows the number of the rows of the matrix (Schur complements) with zero diagonal values at each level, corresponding to the parameters listed in Table 2. We see that the original matrices contain a substantial number of rows with zero diagonal elements.... In PAGE 9: ... It is shown in [22] that a row with a zero diagonal element is to remain such a status if it is not excluded as a node with links to the nodes of the independent set. However, the situation seems to be changed with the multi-level block ILU factorization, since the data in Table3 indicates that the number of zero diagonals decreases rapidly as the number of levels increases. According to our discussions in Section 3, the results in Table 3 indicate that the nodes (rows) that were excluded from the block independent set are modi ed on the coarse levels or the nature of the (relative) diagonal threshold tolerance is changed on the coarse levels.... In PAGE 9: ... However, the situation seems to be changed with the multi-level block ILU factorization, since the data in Table 3 indicates that the number of zero diagonals decreases rapidly as the number of levels increases. According to our discussions in Section 3, the results in Table3 indicate that the nodes (rows) that were excluded from the block independent set are modi ed on the coarse levels or the nature of the (relative) diagonal threshold tolerance is changed on the coarse levels. Such modi cations or changes result in the inclusion of those nodes in the coarse level independent set that were excluded from the ne level independent sets.... In PAGE 9: ... Such modi cations or changes result in the inclusion of those nodes in the coarse level independent set that were excluded from the ne level independent sets. Table3 also shows that the higher the sparsity ratio of the preconditioner, the faster the zero diagonals disappear. This information implies that the multi-level block ILU factorization procedure has the ability to stabilize the ILU factorization process by modifying small diagonal values in the approximate Schur complement.... ..."

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### Table 1 shows the spectral condition number Cn of the original matrix A, of A preconditioned with ILU(0), and Nc, i.e. the number of

"... In PAGE 3: ...FQMR is not given and is slightly superior. Note the very small number of iterations, especially if compared to N, required to converge. By distinction the iterations required by the equivalent real solver involving 2N equations are many more (solide profile). Again these excellent results are consistent with the size of the eigenspectrum before and after preconditioning, as shown in Table1 , and the eigenvalue distribution, as displayed in Figure 5. Note that preconditioning compacts greatly the eigeninterval around 1 and practically eliminates all complex eigenvalues in problem 3 (with Pe=500) (Figure 5d).... ..."

### Table 1. A part of the originator by activity matrix, where it is shown how often each resource performed each activity

"... In PAGE 11: ... Each individual has a profile in the originator by activity matrix based on how frequently it conducts specific activities. Table1 shows a part of the originator by activity matrix derived from the log in Section 2. From this matrix, we can measure the distance between the profiles of dif- ferent originators by comparing the corresponding row vectors.... ..."

### Table 13. Integrated Transition Matrix Over Eight Datasets (For the use in the morning and afternoon, Monday to Friday). The limiting behaviour of the process appears to be converging as shown by the matrix at the 10th power of the original matrix.

1997

Cited by 3