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Matrix Chain Multiplication

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Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 146))

Abstract

This chapter is devoted to the study of matrix chain multiplication problem. For this problem, we consider different cost functions and present a multi-stage optimization procedure relative to a sequence of such functions.

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References

  1. Chikalov, I., Hussain, S., Moshkov, M.: Sequential optimization of matrix chain multiplication relative to different cost functions. In: Cerná, I., Gyimóthy, T., Hromkovic, J., Jeffery, K.G., Královic, R., Vukolic, M., Wolf S. (eds.) SOFSEM 2011: Theory and Practice of Computer Science – 37th Conference on Current Trends in Theory and Practice of Computer Science, Nový Smokovec, Slovakia, January 22–28, 2011, Lecture Notes in Computer Science, vol. 6543, pp. 157–165. Springer, Berlin (2011)

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  2. Godbole, S.: On efficient computation of matrix chain products. IEEE Trans. Comput. 22(9), 864–866 (1973)

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  3. Hu, T.C., Shing, M.T.: Computation of matrix chain products. Part I. SIAM J. Comput. 11(2), 362–373 (1982)

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Correspondence to Hassan AbouEisha .

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AbouEisha, H., Amin, T., Chikalov, I., Hussain, S., Moshkov, M. (2019). Matrix Chain Multiplication. In: Extensions of Dynamic Programming for Combinatorial Optimization and Data Mining. Intelligent Systems Reference Library, vol 146. Springer, Cham. https://doi.org/10.1007/978-3-319-91839-6_16

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