### Table 2. Comparison of total numbers of pivots required new method (dense factors) bqpd (not steepest edge) test

"... In PAGE 14: ...Table 3. Comparison of computing time (seconds on a SUN ELC) in Table2 . The method is initialized by taking as many equality constraints as possible into the active set, and completing the set with simple bounds chosen to keep AA well- conditioned.... ..."

### Table 2 dimension ABS { LU pivoting dimension ABS { LU pivoting

### lable. On the contrary, if the pivot language is synthe-

### Table 2: Stabilityofvarious pivoting schemes in LU decomposition

1993

"... In PAGE 9: ... Neither pairwise nor parallel pivoting require pivot search outside of two rows, but pairwise pivoting is inherently sequential in its access to rows, whereas parallel pivoting #28as its name indicates#29 parallelizes easily. Table2 summarizes the analysis in #5B77#5D of the speed and stability of these methods 1 . The point is that in the worst case partial, pairwise and parallel pivoting are all unstable, but on average only parallel pivoting is unstable.... ..."

Cited by 8

### Table 5. Results obtained with pivoted cosine.

in Retrieval

2007

"... In PAGE 6: ... The same training and test process is carried out. The test results are summed up in Table5 , in which considerable improvements are also obtained with regard to pivoted cosine (for English 21.12% and 9.... ..."

### Table 10. Results from simple pivoting

"... In PAGE 16: ... 10. The EWF and AR optimal Pareto-base curves when using the library from Table 8 latency axis are presented in Table10 . Note that the 0% column corresponds to an immediate pivot to area-axis exploration, and the 100% column corresponds to using solely latency-axis exploration.... In PAGE 17: ... Looking at Table 11, the rst example shown (DIFFEQ) is small enough that 5% of the time constraints is statistically insigni cant, leading to results that are dominated by the area-axis exploration. However, the EWF results give a strong argument for using dynamic pivoting { here a bad a priori choice of using only latency-axis exploration or area-axis exploration (as shown in Table10 ) could lead to a signi cantly larger execution time than 15% dynamic pivoting. 9.... ..."

### Table 6. Comparison between OCTANE and Pivot-

2001

Cited by 7

### Table 7. Comparison between OCTANE and Pivot-

2001

Cited by 7