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- W2179674888 abstract "Let S be a class of structured matrices. Given a pair of matrices X and B, we consider the structured Procrustes problem (SPP)A=argminG∈S‖GX−B‖F and provide a complete solution when S is either a Jordan algebra or a Lie algebra associated with an orthosymmetric scalar product. We characterize and determine all solutions of the structured Procrustes problem as well as those solutions which have the smallest norm. We show that, for the spectral norm, there may be infinitely many smallest norm solutions of the structured Procrustes problem whereas, for the Frobenius norm, the smallest norm solution is unique." @default.
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- W2179674888 date "2016-02-01" @default.
- W2179674888 modified "2023-09-24" @default.
- W2179674888 title "Structured Procrustes problem" @default.
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- W2179674888 doi "https://doi.org/10.1016/j.laa.2015.10.026" @default.
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