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Matrix multiplications and AM-GM inequalities (AlphaEvolve problem 47). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Crouzeix's Conjecture (AlphaEvolve problem 25). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Asymptotic counting exponent for partial Hadamard matrices: determine C 23c or improve its bounds; the repository records 1 (lower) and 3 (upper).
Minimal condition number decay for sign matrices: determine C 23b or improve its bounds; the repository records frac 17 92 (lower) and 1 (upper).
Dual matrix multiplication exponent: determine C 15b or improve its bounds; the repository records 0.321334 (lower) and 1 (upper).
Matrix multiplication exponent: determine C 15a or improve its bounds; the repository records 2 (lower) and 2.371177 (upper).
Crouzeix constant: determine C 2 or improve its bounds; the repository records 2 (lower) and 2 (upper).
The Rank of the 4 times4 Matrix-Multiplication Tensor. Moderately interesting problem from Epoch AI’s FrontierMath: Open Problems; answers are checked by a verifier program.