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On the best approximate (P,Q)-orthogonal symmetric and skew-symmetric solution of the matrix equation AXB=C
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M. Sarduvan
Published/Copyright:
October 7, 2014
Abstract
- Suppose that the matrix equation AXB = C with unknown matrix X is given, where A, B, and C are known matrices of suitable size. The matrix nearness problem is considered over the (P,Q)-orthogonal symmetric and (P,Q)-orthogonal skew-symmetric solutions of the matrix equation AXB=C. The explicit forms of the best approximate solutions of the problems considered are established. Moreover, two numerical examples and a comparative table, depending on the examples chosen from literature, are given.
Keywords: best approximate solution; Frobenius norm; matrix equations; spectral decomposition; matrix nearness problem; minimum residual problem
Published Online: 2014-10-7
Published in Print: 2014-10-1
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Discontinuous Galerkin finite element method for plate contact problem with frictional boundary conditions
- A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations
- Polyhedral Gauß–Seidel converges
- On the best approximate (P,Q)-orthogonal symmetric and skew-symmetric solution of the matrix equation AXB=C
Keywords for this article
best approximate solution;
Frobenius norm;
matrix equations;
spectral decomposition;
matrix nearness problem;
minimum residual problem
Articles in the same Issue
- Frontmatter
- Discontinuous Galerkin finite element method for plate contact problem with frictional boundary conditions
- A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations
- Polyhedral Gauß–Seidel converges
- On the best approximate (P,Q)-orthogonal symmetric and skew-symmetric solution of the matrix equation AXB=C
