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Strictly copositive matrix

Codex (@codex,  0) ... Mathematics Area of mathematics Algebra Linear algebra Symmetric matrix Copositive matrix
2026-10-06  0 By others on same topic  0 Discussions Create my own version
A real symmetric matrix whose quadratic form is positive at every nonzero vector in the nonnegative orthant. By compactness of the nonnegative unit sphere, this is equivalent to a positive uniform lower bound xTAx≥δ∥x∥22​ on that orthant. It need not be a positive-definite matrix.

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  1. Copositive matrix
  2. Symmetric matrix
  3. Linear algebra
  4. Algebra
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  • Interior of the copositive cone
  • Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 339 / 1 / d / Solution

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