frobenius

function frobenius(A:RealMatrixLike, B:RealMatrixLike) -> RealScalarLike

Matrix-matrix Frobenius product.

  • A Matrix AA.
  • B Matrix BB.

Returns Result ⟨A,B⟩F=Tr(A⊤B)=∑ijAijBij\langle A, B \rangle_\mathrm{F} = \mathrm{Tr}(A^\top B) = \sum_{ij} A_{ij} B_{ij} as a scalar.

function frobenius(A:RealMatrixLike) -> RealScalarLike

Matrix Frobenius product.

  • A Matrix AA.

Returns Result ⟨A,A⟩F=Tr(A⊤A)=∑ijAij2\langle A, A \rangle_\mathrm{F} = \mathrm{Tr}(A^\top A) = \sum_{ij} A_{ij}^2 as a scalar.