2012•International Conference on Electric Information and Control EngineeringRequires access

Derivatives of Kronecker Products Themselves Based on Kronecker Products and Matrix Calculus

Xiaofeng Wang, Wenyan Yang, Baoguang Sun

Abstract

The use of Kronecker product in some fields has been used extensively. This paper first introduces properties of Kronecker and then we derive two properties of the derivatives of matrices with respect to matrices in terms of the proposed concept. Finally, this paper presents a novel method and new insight for proving derivatives of Kronecker product themselves through using the concepts and properties of Kronecker Products and Matrix Calculus.

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Available abstract

Key concepts: Kronecker product, Kronecker delta, Matrix calculus, Product (mathematics), Algebra over a field, Matrix (chemical analysis), Mathematics, Computer science