On transformations of algorithms to multiply 2\(\times 2\) matrices (Q1069698)

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scientific article; zbMATH DE number 3936515
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On transformations of algorithms to multiply 2\(\times 2\) matrices
scientific article; zbMATH DE number 3936515

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    On transformations of algorithms to multiply 2\(\times 2\) matrices (English)
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    1986
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    Representing these algorithms by noncommutative polynomials, we construct first the optimal algorithm of Winograd. Then, using an invariant transformation - in the algebraic sense - we transform this algorithm into the algorithm of Strassen. Follow remarks on this family of algorithms.
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    program transformation
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    algebraic complexity
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    sets of bilinear forms
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    matrix multiplication
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