Abstract
For a rectangular real matrix, we obtain a decomposition in weighted singular numbers. On this basis, we obtain a representation of a weighted pseudoinverse matrix in terms of weighted orthogonal matrices and weighted singular numbers.
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Galba, E.F. Weighted singular decomposition and weighted pseudoinversion of matrices. Ukr Math J 48, 1618–1622 (1996). https://doi.org/10.1007/BF02377829
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DOI: https://doi.org/10.1007/BF02377829