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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Yeung, R.W. Berger, T. |
| Copyright Year | 1995 |
| Description | Author affiliation: Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin, Hong Kong (Yeung, R.W.) |
| Abstract | In a K-way minimization problem, we are interested in finding min (x/sub 1//spl isin/S/sub 1/) /spl middot//spl middot//spl middot/ min (x/sub K//spl isin/S/sub K/) f(x/sub 1/, /spl middot//spl middot//spl middot/, x/sub K/), where f is continuous and bounded from below, and S/sub i/ is a compact convex set in IR(n/sub i/), 1/spl les/i/spl les/K. In a paper by Csiszar and Tusnady (1984), a similar problem with somewhat less stringent conditions was studied for K=2, where it was shown that an alternating minimization algorithm converges to the infimum provided a certain geometric condition is satisfied. In this paper, we take an approach (also with strong geometric flavor) different from theirs, which enables us to obtain a sufficient condition for an alternating minimization algorithm to converge to the minima. In particular, we show that it is sufficient for f to be convex. The Arimoto-Blahut algorithm for computing channel capacity is discussed as an example of application of our results. |
| File Size | 107808 |
| File Format | |
| ISBN | 0780324536 |
| DOI | 10.1109/ISIT.1995.531176 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1995-09-17 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Minimization methods Channel capacity Sufficient conditions Convergence |
| Content Type | Text |
| Resource Type | Article |
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