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An iterative method to compute the least-squares solutions of the matrix AXB=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

abstract and applied analysis

Norm-Constrained Least-Squares Solutions to the Matrix Equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>A</mml:mi><mml:mi>X</mml:mi><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mi>C</mml:mi></mml:math>

Norm-Constrained Least-Squares Solutions to the Matrix EquationAXB=C