Smoothness and periodicity of some matrix decompositions (Q2706287)

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Smoothness and periodicity of some matrix decompositions
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    19 March 2001
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    constant rank
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    orthonormal factorizations
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    periodic matrices
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    smooth matrix-valued functions
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    singular value decompositions
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    Smoothness and periodicity of some matrix decompositions (English)
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    The paper deals with small orthonormal factorizations of smooth matrix-valued functions of constant rank. The authors obtain interesting results dealing with smoothness of constant rank functions and particularly for singular value decompositions and related factorizations. The periodic case is considered separately where the authors study the periodicity of the factors.
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