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A Proof of the Sylvester Criterion for Quadratic Forms via Optimality Conditions for Quadratic Functions

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  • Giorgio Giorgi

Abstract

We give a proof of the so-called Sylvester criterion for quadratic forms (for real symmetric matrices), based on elementary optimality properties of quadratic functions.

Suggested Citation

  • Giorgio Giorgi, 2022. "A Proof of the Sylvester Criterion for Quadratic Forms via Optimality Conditions for Quadratic Functions," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 14(2), pages 1-1, May.
    • Handle: RePEc:ibn:jmrjnl:v:14:y:2022:i:2:p:1
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    References listed on IDEAS

    as
    1. Giorgio Giorgi, 2017. "Various Proofs of the Sylvester Criterion for Quadratic Forms," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(6), pages 55-66, December.
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    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
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