## On the generalized bi (skew-) symmetric solutions of a linear matrix equation and its procrust problems

- Qing-Wen Wang, Juan Yu
- Applied Mathematics and Computation
- 2013

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@article{Deng2006IterativeOD, title={Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations}, author={Yuanzheng Deng and Zhong-Zhi Bai and Yong-Hua Gao}, journal={Numerical Lin. Alg. with Applic.}, year={2006}, volume={13}, pages={801-823} }

- Published 2006 in Numerical Lin. Alg. with Applic.
DOI:10.1002/nla.496

The consistent conditions and the general expressions about the Hermitian solutions of the linear matrix equations AXB =C and (AX, XB)= (C, D) are studied in depth, where A, B, C and D are given matrices of suitable sizes. The Hermitian minimum F-norm solutions are obtained for the matrix equations AXB = C and (AX, XB)= (C, D) by Moore–Penrose generalized inverse, respectively. For both matrix equations, we design iterative methods according to the fundamental idea of the classical conjugate… CONTINUE READING

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