A system will have this property along the solution of a closed curve when the derivative of the Hamiltonian with respect to sensitivity goes to zero by the generalized Clebsch-Legendre condition.
This property and symmetry are preserved in each step of the Davidson-Fletcher-Powell formula. A system will have this property along the solution of a closed curve when the derivative of the Hamiltonian with respect to sensitivity goes to zero by the generalized Clebsch-Legendre condition. A complex-valued function has this property if and only if the function is the Fourier transform of a Borel measure with this property by Bochner's theorem. A covariance matrix of linearly independent variables has this property, as does a Gram matrix of linearly independent vectors. According to the energy-based definition of this quantity, a square matrix Q has this property if, for all non-zero column vectors v, the product v transpose times Q times v is greater than zero. For 10 points, name this property of a matrix whose eigenvalues are all greater than zero, and which has a unique Cholesky decomposition.
This property and symmetry are preserved in each step of the Davidson-Fletcher-Powell formula.
positive definiteness [prompt on definiteness; do not accept or prompt on positive]