Corpus ID: 124979816

Optimal Approximation and Symmetric Solutions of Matrix Inverse Problem X~TAX=Bunder a Submatrix Constraint

@inproceedings{Shuo2012OptimalAA,
  title={Optimal Approximation and Symmetric Solutions of Matrix Inverse Problem X~TAX=Bunder a Submatrix Constraint},
  author={Zhou Shuo},
  year={2012}
}
  • Zhou Shuo
  • Published 2012
  • Mathematics
  • Based on the singular value decomposition(SVD) and quotient singular value decomposition(QSVD) of a matrix and matrix pair,the necessary and sufficient conditions were established for the existence of the symmetric solutions and the expressions for the inverse problem of a matrix XTAX=B under a submatrix constraint.Moreover,the optimal approximation problem to a given matrix in the solution set was considered,and the optimal approximation symmetric solution was obtained. 

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