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.


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


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