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Clear filtersMatrix.blockTriangular_exp_of_blockTriangular_id
Plain-language statement
The exponential of an upper-triangular matrix is upper-triangular.
Source project: Physlib
Person-level attribution pending.
Matrix.det_exp
Plain-language statement
The determinant of the exponential of a matrix is the exponential of its trace. This is also known as Lie's trace formula.
Source project: Physlib
Person-level attribution pending.
Matrix.det_exp_of_blockTriangular_id
Plain-language statement
Lie's trace formula for upper triangular matrices.
Source project: Physlib
Person-level attribution pending.
Matrix.det_exp_real
Plain-language statement
Lie's trace formula over ℝ: det(exp(A)) = exp(tr(A)) for any real matrix A. This is proved by transferring the result from ℂ using the naturality of polynomial identities.
Source project: Physlib
Person-level attribution pending.