| M. J. Todd, Private communication, May 1996. |
....) or with. and similarly for (2.2) and (2.4) On the other hand, not all these search directions may be amenable to a convergence analysis, and it remains to determine which ones are amenable. Lastly, we note that the simple choice of Au : y fi u; Bv : x fi v; also considered by Todd [35], does not satisfy the hypothesis of Lem. 2.1. The difficulty lies in that hd; AB di = tr h dy 1=2 x 1=2 dx 1=2 y 1=2 i which, because y 1=2 x 1=2 need not be symmetric positive definite, need not be positive for d 6= 0. However, this choice does satisfy the hypothesis of Lem. ....
M. J. Todd, Private communication, May 1996.
.... k (x k ; y k ; s k ) are more directly related to the solutions of the original problems (LP) and (LD) than (x k ; y k ; s k ) Thus, we prefer a potential function that will be used in association with the (HSDP) formulation to be a function of the scaled variables. Following Todd [14], we choose ae = 2n 2 so that Psi ae is invariant under scaling of the variables: Psi 2n 2 (x; s; 2n 2) ln Gamma n X i=1 ln x i Gamma n X i=1 ln s i Gamma ln Gamma ln = 2n 2) ln Gamma n X i=1 ln x i Gamma n X i=1 ln s i Gamma ln ....
M. J. Todd, Private communication.
....situation. The lesson learned from the above example is an important one and its ideas have been discussed before [17] If one has a very sensitive but short message then the capacity is not a sufficient measure of security. Also we have previously discussed examples such as these with Wittbold [24]. There are many other examples of this type. Say we have a channel that noiselessly transmits 100 bits in the first tick and then is total noise. The capacity of this channel is zero but the problem is obvious. We need to develop a criterion, or criteria, in addition to capacity, that should be ....
Todd Wittbold. Private Communication.
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