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2005 Efficient Solution of Linear Matrix Equations with Application to Multistatic Antenna Array Processing
Hanoch Lev-Ari
Commun. Inf. Syst. 5(1): 123-130 (2005).

Abstract

We present a computationally-efficient matrix-vector expression for the solution of a matrix linear least squares problem that arises in multistatic antenna array processing. Our derivation relies on an explicit new relation between Kronecker, Khatri-Rao and Schur-Hadamard matrix products, which involves a selection matrix (i.e., a subset of the columns of a permutation matrix). Moreover, we show that the same selection matrix also relates the vectorization-by-columns operator to the diagonal extraction operator, which plays a central role in our computationally-efficient solution.

Citation

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Hanoch Lev-Ari. "Efficient Solution of Linear Matrix Equations with Application to Multistatic Antenna Array Processing." Commun. Inf. Syst. 5 (1) 123 - 130, 2005.

Information

Published: 2005
First available in Project Euclid: 7 June 2006

zbMATH: 1116.65050
MathSciNet: MR2199726

Rights: Copyright © 2005 International Press of Boston

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