Jacobianlike
Jacobianlike is a term used in mathematics to describe objects or constructions that behave similarly to the Jacobian matrix or determinant of a multivariable map, without necessarily satisfying all the formal requirements of a true Jacobian. In practice, Jacobianlike constructs aim to capture aspects of local linear behavior, volume change, or coordinate-transformation properties that the Jacobian provides, but in contexts where a classical Jacobian is unavailable or impractical.
In non-smooth analysis, a prominent example is the Clarke generalized Jacobian, which is a set-valued object
In geometry and algebraic geometry, the phrase can refer to constructions that play an analogous role to
Applications and significance of Jacobianlike objects appear in optimization, numerical analysis, and geometric modeling, where surrogate