7 citations
2 papers
cs.CC2021★ 6 cited
The tensor rank of 5x5 matrices multiplication is bounded by 98 and its border rank by 89
Alexandre Sedoglavic, Alexey V. Smirnov
We present a non-commutative algorithm for the product of 3x5 by 5x5 matrices using 58 multiplications. This algorithm allows to construct a non-commutative algorithm for multiplyi…
physics.app-ph2020★ 7 cited
Identification of CaCuSiO (Egyptian blue) in the "Birch. Spring" painting by Robert Falk (1907) using photoluminescence
Svetlana A. Pisareva, Irina N. Shibanova, Irina F. Kadikova +4
We have detected Egyptian blue pigment in the paint layer of the "Birch. Spring" painting by Robert Falk (1907); we have also found this pigment in the paints of the sketch drawn o…