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How to transform matrices $U_1, \ldots, U_p$ to matrices $V_1, \ldots, V_p$ so that $V_i V_j^T= {\mathbb O} $ if $ i \neq j $?

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  • Methods of a transformation of matrices $U_1, \ldots, U_p$ to matrices $V_1, \ldots, V_p$ are proposed so that $V_i V_j^T={\mathbb O} $ for $ i\neq j $ and $i,j =1,\ldots,p $. We consider unconstrained and constrained problems associated with such a transformation. Solutions of the both problems are provided.
    Mathematics Subject Classification: Primary: 15A18.


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  • [1]

    T. L. Boullion and P. L. Odell, "Generized Inverse Matrices," John Willey & Sons, Inc., New York, 1972.


    S. Friedland, A. Niknejad and L. Chihara, A simultaneous reconstruction of missing data in DNA microarrays, Linear Alg. Appl., 416 (2006), 8-28.doi: 10.1016/j.laa.2005.05.009.


    J. Listgarten, C. Kadie, E. Schadt and D. Heckerman, Correction for hidden confounders in the genetic analysis of gene expression, Proc. Natl. Acad. Sci. USA, 107 (2010), 16465-16470.doi: 10.1073/pnas.1002425107.


    A. Torokhti and P. Howlett, "Computational Methods for Modelling of Nonlinear Systems," Elsevier, 2007.


    A. Torokhti and P. Howlett, Optimal transform formed by a combination of nonlinear operators: The case of data dimensionality reduction, IEEE Trans. on Signal Processing, 54 (2006), 1431-1444.doi: 10.1109/TSP.2006.870560.

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