### Table 10. Inversion of Table 8: Variant of Method 2

1996

"... In PAGE 19: ... It may happen that these disjunctions can be simpli ed by inspection. Otherwise we can make a tradeo between length of value header and complexity of these conditions, by \splitting disjunctions quot; as in Table10 . The value header ~ H1 must then be lengthened by repeating each entry in it len1(T ) times, this being an upper bound for the lengths of the disjunctions in the grid in Table 9.... In PAGE 19: ... Remarks. (1) The inversion given by Table10 is a variant of the one given by Table 9 (Method 2). It is however quite di erent from the one shown as Table 7 (Method 1).... In PAGE 20: ... Inversion of Table 6: Method 1 (3) Assuming T is proper, we could, alternatively, simplify the conditions in Table 9 by replacing `C1 1 _ C1 2 _ C1 3 apos; by `true apos;, `C1 1 _ C1 2 apos; by `:C1 3 apos;, and `C1 1 _ C1 3 apos; by `:C1 2 apos;.3 (4) Further, we can simplify Table10 by deleting rows with only `false apos; entries. The following theorem holds for all the inversion transformations (and variants) con- sidered in this Section.... ..."

Cited by 13

### Table 4 : Computational E ciency Method Multiplication Squaring Inversion

in An Improvement of the Guajardo-Paar Method for Multiplication on non-supersingular elliptic curves

1998

"... In PAGE 9: ...2 is approximately 2k ? 1 k2k blog2 mc. The expected number of elementary eld operations for di erent variants of the k-ary method are summarized in Table4 . From Table 4, the 4-ary method, combined with our formulae, computes mP using 1:25 log2 m multiplications less than Guajardo and Paar apos;s method.... ..."

Cited by 6

### Table 1: Comparison of different implementations on inverse transform. Implementation Method Time Used

"... In PAGE 8: ... This reduces the middle-processing time compared with the original method. Table1 shows a comparison of three different implementations for the inverse transform. It shows the time used by 50 million runs of each of the programs.... In PAGE 18: ... Although an algorithm may require more computation (for example, matrix multiplication vs. multiplication free), the algorithm may run faster if it can be implemented in SIMD media instructions or in multiple threads (as shown in Table1 ). At the same time, we should be very careful about any quality degradation when we want to increase the parallelism (as shown in Figure 12).... ..."

### Table 6.1 Performance results of the TRS Method for an Inverse Interpolation Problem.

1998

Cited by 7

### Table 6.1 Performance results of the TRS Method for an Inverse Interpolation Problem.

### Table 5: The number of iterations and CPU time for trust region based inverse Hessian update methods

### Table 4.5. Comparison of the calculated inverse reactor periods for each calculation method against the measured inverse periods G90meas (the discrepancies are given in %)

### Table 3.1 : Performances of the different inversion methods on S-TEST ; in italic bold performances when they are equivalent (difference between the performances less than 5%), in bold the best performances (difference between the performances between 5% and 10%), in bold and underlined the performances which are the highest (higher than 10 %).

Cited by 1