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This paper presents a method to analyze the powers of a given trilinear form (a special kind of algebraic constructions also called a tensor) and obtain upper bounds on the asymptotic complexity of matrix multiplication.
Gaussian elimination is not optimal
Strassen, V · 1969
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Partial and total matrix multiplication
Schönhage, A · 1981
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The asymptotic spectrum of tensors and the exponent of matrix multiplication
Strassen, V · 1986
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Matrix multiplication via arithmetic progressions
Coppersmith, D., and Winograd, S · 1990
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Algebraic complexity theory
Bürgisser, P., Clausen, M., and Shokrollahi, M. A · 1997
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Lectures on Modern Convex Optimization
Ben-Tal, A., and Nemirovski, A · 2001
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Davie, A. M., and Stothers, A. J · 2013
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Multiplying matrices faster than Coppersmith-Winograd
Vassilevska Williams, V · 2014
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