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Definiteness and semidefiniteness of quadratic forms revisited - MaRDI portal

Definiteness and semidefiniteness of quadratic forms revisited (Q799766)

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scientific article; zbMATH DE number 3873519
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English
Definiteness and semidefiniteness of quadratic forms revisited
scientific article; zbMATH DE number 3873519

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    Definiteness and semidefiniteness of quadratic forms revisited (English)
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    1984
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    This paper shows how properties of the Schur complement can be used to develop criteria for the definiteness (or semi-definiteness) of the restriction of a quadratic form to the null space of a matrix. Information of this sort is of interest in connection with constrained optimization problems, among others.
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    restriction to subspace
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    Schur complement
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    semi-definiteness
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    quadratic form
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