Article citationsMore>>

A. Dajic and J. J. Koliha, “Equations and in Rings and Rings with Involution with Applications to Hilbert Space Operators,” Linear Algebra Applications, Vol. 429, No. 7, 2008, pp. 1779-1809. http://dx.doi.org/10.1016/j.laa.2008.05.012

has been cited by the following article:

• TITLE: EPr Solution to a System of Matrix Equations

  AUTHORS: Changzhou Dong, Yuping Zhang, Jianmin Song

  KEYWORDS: EP Matrix; Matrix Equation; Moore-Penrose Inverse; Approximation Problem; Least Squares Solution

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.3 No.4, December 19, 2013

  ABSTRACT: A square complex matrix is called if it can be written in the form with being fixed unitary and being arbitrary matrix in . We give necessary and sufficient conditions for the existence of the solution to the system of complex matrix equation and present an expression of the solution to the system when the solvability conditions are satisfied. In addition, the solution to an optimal approximation problem is obtained. Furthermore, the least square solution with least norm to this system mentioned above is considered. The representation of such solution is also derived.