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A class of iteration methods for the matrix equation A×B = C

  • Konghua Guo (a1), Xiyan Hu (a1) and Lei Zhang (a1)

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An iteration method for the matrix equation A×B = C is constructed. By this iteration method, the least-norm solution for the matrix equation can be obtained when the matrix equation is consistent and the least-norm least-squares solutions can be obtained when the matrix equation is not consistent. The related optimal approximation solution is obtained by this iteration method. A preconditioned method for improving the iteration rate is put forward. Finally, some numerical examples are given.

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References

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A class of iteration methods for the matrix equation A×B = C

  • Konghua Guo (a1), Xiyan Hu (a1) and Lei Zhang (a1)

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