AbstractThere are several definitions for the matrix derivative, which are all given through different calculating rules. This paper demonstrates that all these definitions may be considered as special cases of the general definition of the derivative in normed spaces. They only present the derivative in normed spaces with different elements
AbstractA notion of differentiation for matrices through ‘differentiators’, where one is actually di...
AbstractA theorem is proved concerning the diagonalizability of a matrix over a differential field b...
Abstract. In this paper, the exact value for the norm of directional derivatives, of all orders, for...
AbstractThere are several definitions for the matrix derivative, which are all given through differe...
We discuss how to generalize the concept of vector derivative to matrix derivative, propose two defi...
AbstractWe improve several results published from 1950 up to 1982 on matrix functions commuting with...
summary:In this paper the notion of the derivative of the norm of a linear mapping in a normed vecto...
AbstractIn 1956 Rinehart [4] discussed the derivatives of matrix functions by considering difference...
AbstractWe discuss how to generalize the concept of vector derivative to matrix derivative, propose ...
This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial...
AbstractThis paper sets forth some of the principal results of the algebra of Kronecker products in ...
In this article we formalized the Fréchet differentiation. It is defined as a generalization of the ...
A method of matrix differential calculus based on differentials is presented. Several definitions of...
AbstractIf θ is a norm on Cn, then the mapping A→limh↓0‖I+hA‖θ−1/h from Mn(C) (=Cn × n) into R is ca...
A necessary condition for a real valued Frechet differentiable function of a vector variable have an...
AbstractA notion of differentiation for matrices through ‘differentiators’, where one is actually di...
AbstractA theorem is proved concerning the diagonalizability of a matrix over a differential field b...
Abstract. In this paper, the exact value for the norm of directional derivatives, of all orders, for...
AbstractThere are several definitions for the matrix derivative, which are all given through differe...
We discuss how to generalize the concept of vector derivative to matrix derivative, propose two defi...
AbstractWe improve several results published from 1950 up to 1982 on matrix functions commuting with...
summary:In this paper the notion of the derivative of the norm of a linear mapping in a normed vecto...
AbstractIn 1956 Rinehart [4] discussed the derivatives of matrix functions by considering difference...
AbstractWe discuss how to generalize the concept of vector derivative to matrix derivative, propose ...
This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial...
AbstractThis paper sets forth some of the principal results of the algebra of Kronecker products in ...
In this article we formalized the Fréchet differentiation. It is defined as a generalization of the ...
A method of matrix differential calculus based on differentials is presented. Several definitions of...
AbstractIf θ is a norm on Cn, then the mapping A→limh↓0‖I+hA‖θ−1/h from Mn(C) (=Cn × n) into R is ca...
A necessary condition for a real valued Frechet differentiable function of a vector variable have an...
AbstractA notion of differentiation for matrices through ‘differentiators’, where one is actually di...
AbstractA theorem is proved concerning the diagonalizability of a matrix over a differential field b...
Abstract. In this paper, the exact value for the norm of directional derivatives, of all orders, for...
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