Abstract and Applied Analysis

Norm-Constrained Least-Squares Solutions to the Matrix Equation A X B = C

An-bao Xu and Zhenyun Peng

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An iterative method to compute the least-squares solutions of the matrix A X B = C over the norm inequality constraint is proposed. For this method, without the error of calculation, a desired solution can be obtained with finitely iterative step. Numerical experiments are performed to illustrate the efficiency and real application of the algorithm.

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Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 781276, 10 pages.

First available in Project Euclid: 26 February 2014

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Xu, An-bao; Peng, Zhenyun. Norm-Constrained Least-Squares Solutions to the Matrix Equation $AXB=C$. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 781276, 10 pages. doi:10.1155/2013/781276. https://projecteuclid.org/euclid.aaa/1393447689

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