Efficient solution of linear matrix equations with application to multistatic antenna array processing. (English) Zbl 1116.65050

Lev-Ari, Hanoch

Commun. Inf. Syst. 5, No. 1, 123-130 (2005).

The present paper deals with the matrix linear least squares problem: \[ \min_X\| Q- AXB^T\|^2_F, \] where \(A\), \(B\), \(Q\) are given (complex valued) matrices of sizes \(N_A\times L\), \(N_B\times L\), and \(N_A\times N_B\), respectively; the unknown \(L\times L\) matrix \(X^A\) is diagonal. Relative to the above problem, a computationally-efficient solution is constructed, corresponding to the “reduced-order vector form”.

Reviewer: Costică Moroşanu (Iaşi)

MSC:

65F30	Other matrix algorithms (MSC2010)
65F20	Numerical solutions to overdetermined systems, pseudoinverses
15A24	Matrix equations and identities
78A50	Antennas, waveguides in optics and electromagnetic theory

Keywords:

matrix equations; matrix algorithms; least squares problem