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On the definity of quadratic forms subject to linear constraints

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Abstract

A short proof is given of the necessary and sufficient conditions for the positivity and nonnegativity of a quadratic form subject to linear constraints.

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References

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    Mann, H. B.,Quadratic Forms with Linear Constraints, The American Mathematical Monthly, Vol. 50, pp. 430–433, 1943.

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Communicated by M. Avriel

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Väliaho, H. On the definity of quadratic forms subject to linear constraints. J Optim Theory Appl 38, 143–145 (1982). https://doi.org/10.1007/BF00934328

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Key Words

  • Quadratic forms
  • positive-definitive quadratic forms
  • nonnegative definite quadratic forms
  • linear constraints