| TR#: | CS0574 |
| Class: | CS |
| Title: | On the 2x2 Matrix Multiplication |
| Authors: | Nader H. Bshouty |
| CS0574.pdf | |
| Abstract: | In [SIAM J. Comput, June 1976] Probert proved that 15 additive operations are necessary and sufficient to multiply two 2 x 2 matrices over the binary field by a bilinear algorithms using 7 non-scalar multiplications. We prove this result for arbitrary field. We also use the algorithm of Winograd to classify all such algorithms. |
| Copyright | The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information |
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