The bit-operation complexity of matrix multiplication and of all pair shortest path problem

Author:

Pan V.Ya.

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference20 articles.

1. Gaussian elimination is not optimal;Strassen;Numer. Math,1969

2. Strassen's algorithm is not optimai;Pan,1978

3. O(n2.7799) complexity for matrix multiplication;Bini,1979

4. Field extension and trilinear aggregating, uniting and canceling for the acceleration of matrix multiplication;Pan,1979

5. New fast algorithms for matrix operations;Pan;SIAM J. Comput,1980

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1. From Circuit Complexity to Faster All-Pairs Shortest Paths;SIAM Review;2021-01

2. Faster All-Pairs Shortest Paths via Circuit Complexity;SIAM Journal on Computing;2018-01

3. Faster all-pairs shortest paths via circuit complexity;Proceedings of the forty-sixth annual ACM symposium on Theory of computing;2014-05-31

4. Algebraic complexity of computing polynomial zeros;Computers & Mathematics with Applications;1987

5. Polynomial division and its computational complexity;Journal of Complexity;1986-09

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