- jacobian matrix
- 雅可比矩阵
English-Chinese dictionary of mechanical engineering (英汉机械工程大词典). 2013.
jacobian matrix
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Jacobian — In vector calculus, the Jacobian is shorthand for either the Jacobian matrix or its determinant, the Jacobian determinant. In algebraic geometry the Jacobian of a curve means the Jacobian variety: a group variety associated to the curve, in which … Wikipedia
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Jacobian conjecture — In mathematics, the Jacobian conjecture is a celebrated problem on polynomials in several variables. It was first posed in 1939 by Ott Heinrich Keller. It was later named and widely publicised by Shreeram Abhyankar, as an example of a question in … Wikipedia
Jacobian — Die Jacobi Matrix (benannt nach Carl Gustav Jacob Jacobi; auch Funktionalmatrix oder Ableitungsmatrix genannt) einer differenzierbaren Funktion ist die Matrix sämtlicher erster partieller Ableitungen. Sie ist eine Darstellungsmatrix, also die… … Deutsch Wikipedia
Hessian matrix — In mathematics, the Hessian matrix (or simply the Hessian) is the square matrix of second order partial derivatives of a function; that is, it describes the local curvature of a function of many variables. The Hessian matrix was developed in the… … Wikipedia
Generalized Jacobian — In algebraic geometry = In mathematics, there are several notions of generalized Jacobians, which are algebraic groups or complex manifolds that are in some sense analogous to the Jacobian variety of an algebraic curve, or related to the Albanese … Wikipedia
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Jacobi matrix — may refer to: * Jacobian matrix (matrix of partial derivatives) * A three diagonal symmetric matrix (see orthogonal polynomials) … Wikipedia
Z-matrix (mathematics) — In mathematics, the class of Z matrices are those matrices whose off diagonal entries are less than or equal to zero; that is, a Z matrix Z satisfies:Z=(z {ij});quad z {ij}leq 0, quad i eq j.Note that this definition coincides precisely with that … Wikipedia
Hurwitz matrix — In mathematics, a square matrix A is called a Hurwitz matrix if every eigenvalue of A has strictly negative real part, that is,:mathop{mathrm{Re [lambda i] < 0, for each eigenvalue lambda i. A is also called a stability matrix, because then the… … Wikipedia
