Geodesic
Extension of Strassen's estimate to the solution of arbitrary systems of linear equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 581-593 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that any system of linear equations can be solved in $O(max(m, n)~(min(m, n))^{1.81})$ operations, where $m$ is the number of equations and $n$ the number of unknowns. 
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     author = {V. I. Solodovnikov},
     title = {Extension of {Strassen's} estimate to the solution of arbitrary systems of linear equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {581--593},
     year = {1979},
     volume = {19},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a1/}
}
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V. I. Solodovnikov. Extension of Strassen's estimate to the solution of arbitrary systems of linear equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 581-593. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a1/