# Article

 Title: An algorithm for calculating the channel capacity of degree $\beta$ (English) Author: Taneja, Inder Jeet Author: Guerra, Fernando Language: English Journal: Kybernetika ISSN: 0023-5954 Volume: 21 Issue: 2 Year: 1985 Pages: 123-133 . Category: math . MSC: 94A17 idZBL: Zbl 0586.94008 idMR: MR797326 . Date available: 2009-09-24T17:46:17Z Last updated: 2012-06-05 Stable URL: http://hdl.handle.net/10338.dmlcz/124803 . Reference: [1] S. Arimoto: Information-theoretical considerations on estimation problems.Inform. and Control 19 (1971), 3, 181-194. Zbl 0222.94022, MR 0309224 Reference: [2] S. Arimoto: An algorithm for computing the capacity of arbitrary discrete memoryless channels.IEEE Trans. Inform. Theory IT-14 (1972), 14-20. Zbl 0227.94011, MR 0403796 Reference: [3] S. Arimoto: Information measures and capacity of order a. for discrete memoryless channels.In: Proc. Colloq. on Inform. Theory, Keszthely (Hungary), 1975, 41-52. MR 0453258 Reference: [4] S. Arimoto: Computation of random coding exponent functions.IEEE Trans. Inform. Theory IT-22 (1976), 666-671. Zbl 0349.94036, MR 0429317 Reference: [5] R. E. Blahut: Computation of channel capacity and rate distortion functions.IEEE Trans. Inform. Theory IT-18 (1972), 460-473. Zbl 0247.94017, MR 0476161 Reference: [6] M. C. Cheng: On the computation of capacity of a discrete memoryless channel.Inform. and Control 24 (1974), 292-298. MR 0416751 Reference: [7] Z. Daróczy: Generalized information functions.Inform. and Control 16 (1970), 46-51. MR 0272528 Reference: [8] R. G. Gallager: Information Theory and Reliable Communications.J. Wiley and Sons, New York 1968. Reference: [9] J. Havrda, F. Charvát: Qualification method of classification processes: concept of structural a-entropy.Kybernetika 3 (1967), 1, 30-35. MR 0209067 Reference: [10] B. Meister, W. Oettli: On the capacity of a discrete, constant channel.Inform. and Control 11 (1967), 341-351. Zbl 0157.48903 Reference: [11] S. Muroga: On the capacity of a discrete channel, I.J. Phys. Soc. Japan 8 (1953), 484 - 494. MR 0058911 Reference: [12] A. Rényi: On measures of entropy and information.In: Proc. 4th Berkley Svmp. Math. Statist. Prob., Univ. of Calif. Press, Berkeley, Calif., vol. I (1951), 547-561. MR 0132570 Reference: [13] B. D. Sharma, D. P. Mittal: New non-additive measures of entropy for discrete probability distributions.J. Math. Sci. 10 (1975), 28-40. MR 0539493 Reference: [14] S. Takano: On a method of calculating the capacity of a discrete memoryless channel.Inform. and Control 29 (1975), 327-336. Zbl 0325.94010, MR 0389385 Reference: [15] I. J. Taneja, D. M. Flemming: An iterative method for calculating the weighted capacity of a discrete constant channel.13° Colloq. Brasileira de Met., 20-24 July 1982, Pocos de Caldas, MG. Reference: [16] I. J. Taneja, M. J. Wanderlinde: An algorithm for computing the generalized $\gamma$-capacity of a discrete memoryless channel.J. Inform, and Optim. Sci. 4 (1983), 3, 269 - 282. MR 0718219 .

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