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An iterative algorithm for the least squares bisymmetric solutions of the matrix equations \(A_{1}XB_{1}=C_{1},A_{2}XB_{2}=C_{2}\). (English) Zbl 1190.65061

The authors propose an iterative algorithm for solving the minimum Frobenius norm residual problem \(\min \left[ \left( A_{1}XB_{1}-C_{1} \right)^2 + \left( A_{2}XB_{2}-C_{2} \right)^2 \right]\) over bisymmetric matrices. The algorithm acts on the associated normal equation of the initial one.

MSC:

65F30 Other matrix algorithms (MSC2010)
65F10 Iterative numerical methods for linear systems
15A24 Matrix equations and identities
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