AbstractIn the paper matrix integral is introduced as the inverse operation of the matrix derivative. The definition of the integral is based on the star product of matrices introduced by MacRae [Ann. Stat. 7 (1974) 381]. Basic properties of the integral are presented and several examples given to demonstrate practical usage of the notion
For matrix functions $f$ we investigate how to compute a matrix-vector product $f(A)b$ without expli...
summary:The Henstock-Kurzweil and McShane product integrals generalize the notion of the Riemann pro...
AbstractA notion of differentiation for matrices through ‘differentiators’, where one is actually di...
In the paper certain examples of applications of the matrix inverses for generating and calculating ...
Abstract. In the paper certain examples of applications of the matrix inverses for generat-ing and c...
The method of evaluating the integrals through use of the matrix inversion, presented here, was intr...
Matrix functions are used in many areas of linear algebra and arise in numerous applications in scie...
A method of matrix differential calculus based on differentials is presented. Several definitions of...
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...
AbstractThe generalized inverse or Moore-Penrose-inverse of a real m × n matrix A is known to be the...
AbstractThis paper sets forth some of the principal results of the algebra of Kronecker products in ...
Matrix functions are used in many areas of linear algebra and arise in numerous applications in scie...
This paper collects together a number of matrix derivative results which are very useful in forward ...
This paper collects together a number of matrix derivative results which are very useful in forward ...
For matrix functions $f$ we investigate how to compute a matrix-vector product $f(A)b$ without expli...
summary:The Henstock-Kurzweil and McShane product integrals generalize the notion of the Riemann pro...
AbstractA notion of differentiation for matrices through ‘differentiators’, where one is actually di...
In the paper certain examples of applications of the matrix inverses for generating and calculating ...
Abstract. In the paper certain examples of applications of the matrix inverses for generat-ing and c...
The method of evaluating the integrals through use of the matrix inversion, presented here, was intr...
Matrix functions are used in many areas of linear algebra and arise in numerous applications in scie...
A method of matrix differential calculus based on differentials is presented. Several definitions of...
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...
AbstractThe generalized inverse or Moore-Penrose-inverse of a real m × n matrix A is known to be the...
AbstractThis paper sets forth some of the principal results of the algebra of Kronecker products in ...
Matrix functions are used in many areas of linear algebra and arise in numerous applications in scie...
This paper collects together a number of matrix derivative results which are very useful in forward ...
This paper collects together a number of matrix derivative results which are very useful in forward ...
For matrix functions $f$ we investigate how to compute a matrix-vector product $f(A)b$ without expli...
summary:The Henstock-Kurzweil and McShane product integrals generalize the notion of the Riemann pro...
AbstractA notion of differentiation for matrices through ‘differentiators’, where one is actually di...
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