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cs.CC2026
Kronecker products and iterated matrix multiplication
Christian Ikenmeyer
We observe that the Kronecker product of tensors is the operation that converts the determinant polynomial into Cayley's first hyperdeterminant. We apply the Kronecker product to i…
cs.CC2025
On the gradient of the coefficient of the characteristic polynomial
Christian Ikenmeyer
We prove the bivariate Cayley-Hamilton theorem, a powerful generalization of the classical Cayley-Hamilton theorem. The bivariate Cayley-Hamilton theorem has three direct corollari…