English
Another formulation of the determinant behavior under Kronecker products; compatible with previous det_kroneckerTMul results.
Русский
Ещё одно выражение поведения детерминанта при Kronecker-продукте; совместимо с предыдущими результатами det_kroneckerTMul.
LaTeX
$$det (A ⊗ₖₜ[R] B) = ...$$
Lean4
/-- The inverse of the lower triangular matrix `L` of the LDL-decomposition. It is obtained by
applying Gram-Schmidt-Orthogonalization w.r.t. the inner product induced by `Sᵀ` on the standard
basis vectors `Pi.basisFun`. -/
noncomputable def lowerInv : Matrix n n 𝕜 :=
@gramSchmidt 𝕜 (n → 𝕜) _ (_ :) (InnerProductSpace.ofMatrix hS.transpose) n _ _ _ (Pi.basisFun 𝕜 n)
