The completion problem for symmetric orthogonal matrix and corresponding matrix equation problem are studied. We give some necessary and sufficient conditions of solvability and the expressions of solutions. In addition,… Click to show full abstract
The completion problem for symmetric orthogonal matrix and corresponding matrix equation problem are studied. We give some necessary and sufficient conditions of solvability and the expressions of solutions. In addition, in the solution set of the matrix equation problem, the expression of the optimal approximation matrix to a given matrix is obtained. Finally, the algorithms and numerical experiments are given for solving these problems.
Keywords:
matrix equation;
corresponding matrix;
symmetric orthogonal;
equation problem;
problem
Journal Title: International Journal of Applied and Computational Mathematics
Year Published: 2018
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Journal Title: International Journal of Applied and Computational Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!