Completion of an orthogonal projector and a related inverse mapping problem (Q2484492)

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Completion of an orthogonal projector and a related inverse mapping problem
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    Completion of an orthogonal projector and a related inverse mapping problem (English)
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    1 August 2005
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    A real matrix completion problem to orthogonal projections is investigated, and some formulas and/or approximation algorithms are obtained. Given \(X\) and \(Y\) real \(n\times k\) matrices, the problem of when there exists an orthogonal projection \(A\) such that \(AX=Y\) holds, and description of the solutions, is also considered.
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    orthogonal projector
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    matrix completion
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    singular value decomposition
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    inverse problem
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