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- W2094718344 abstract "We derive the necessary and sufficient conditions of and the expressions for the orthogonal solutions, the symmetric orthogonal solutions, and the skew-symmetric orthogonal solutions of the system of matrix equations<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>A</mml:mi><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi>X</mml:mi><mml:mi>C</mml:mi><mml:mo>=</mml:mo><mml:mi>D</mml:mi></mml:mrow></mml:math>, respectively. When the matrix equations are not consistent, the least squares symmetric orthogonal solutions and the least squares skew-symmetric orthogonal solutions are respectively given. As an auxiliary, an algorithm is provided to compute the least squares symmetric orthogonal solutions, and meanwhile an example is presented to show that it is reasonable." @default.
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- W2094718344 date "2012-01-01" @default.
- W2094718344 modified "2023-10-15" @default.
- W2094718344 title "Constrained Solutions of a System of Matrix Equations" @default.
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- W2094718344 doi "https://doi.org/10.1155/2012/471573" @default.
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