论文信息 - On the concept of matrix derivative - 字舞流文

On the concept of matrix derivative

We discuss how to generalize the concept of vector derivative to matrix derivative, propose two definitions, a 'broad' and a 'narrow' one, compare the two definitions, and argue in favor of the narrow definition.

Jan R. Magnus | J. Magnus

[1] J. Edward Jackson. The Algebra of Econometrics , 1980 .

[2] D.S.G. Pollock,et al. Tensor products and matrix differential calculus , 1985 .

[3] Karim M. Abadir,et al. Matrix Algebra: Notation , 2005 .

[4] H. Neudecker. Some Theorems on Matrix Differentiation with Special Reference to Kronecker Matrix Products , 1969 .

[5] Alexander Graham,et al. Kronecker Products and Matrix Calculus: With Applications , 1981 .

[6] J. Magnus,et al. Matrix Differential Calculus with Applications in Statistics and Econometrics , 1991 .

[7] R. J. Boik. Newton Algorithms for Analytic Rotation: an Implicit Function Approach , 2008 .

[8] The Algebra of Econometrics , 1982 .

[9] J. Magnus,et al. Matrix differential calculus with applications to simple, Hadamard, and Kronecker products. , 1985 .