Constrained Solutions of a System of Matrix Equations
Copyright policy )Constrained Solutions of a System of Matrix Equations
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 AX = B and XC = D, 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.
- Shanghai University China (People's Republic of)
- Shanghai University China (People's Republic of)
- China University of Petroleum, Beijing China (People's Republic of)
- Shanghai university China (People's Republic of)
- Shanghai University China (People's Republic of)
algorithm, system of matrix equations, Matrix equations and identities, Other matrix algorithms, orthogonal solutions, least squares symmetric orthogonal solutions, skew-symmetric orthogonal solutions, symmetric orthogonal solutions, least squares skew-symmetric orthogonal solutions, QA1-939, Orthogonal matrices, Hermitian, skew-Hermitian, and related matrices, Mathematics
algorithm, system of matrix equations, Matrix equations and identities, Other matrix algorithms, orthogonal solutions, least squares symmetric orthogonal solutions, skew-symmetric orthogonal solutions, symmetric orthogonal solutions, least squares skew-symmetric orthogonal solutions, QA1-939, Orthogonal matrices, Hermitian, skew-Hermitian, and related matrices, Mathematics
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