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\(0(n^{2.7799})\) complexity for \(n\times n\) approximate matrix multiplication. (English) Zbl 0395.68048


MSC:

68Q25 Analysis of algorithms and problem complexity
65F30 Other matrix algorithms (MSC2010)
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References:

[1] Borodin, A.; Munro, I., The Computational Complexity of Algebraic and Numeric Problems (1975), American Elsevier: American Elsevier New York · Zbl 0404.68049
[2] Hopcroft, J.; Musinski, J., Duality applied to the complexity of matrix multiplication and other bilinear forms, SIAM J. Comput., 2, 159-173 (1973) · Zbl 0294.65022
[3] Ya. Pan, V., Strassen algorithm is not optimal, Proc. IEEE 19th Annual Symposium on Foundations of Computer Science (1978), to appear.
[4] Strassen, V., Gaussian elimination is not optimal, Numer. Math., 13, 351-356 (1969) · Zbl 0185.40101
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