[Merged by Bors] - feat: Positivity/Nonnegativity of Eigenvalues of PosDef/PosSemidef Matrices #6368
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MohanadAhmed
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…trices (#6368) Two lemmas: - `Matrix.PosDef.eigenvalues_pos`: $$A \in k^{n\times n}, A > 0 \implies \lambda (A) >0$$ - `Matrix.PosSemidef.eigenvalues_nonneg`: $$A \in k^{n\times n}, A \geq 0 \implies \lambda (A) \geq 0$$ Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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Aug 14, 2023
…trices (#6368) Two lemmas: - `Matrix.PosDef.eigenvalues_pos`: $$A \in k^{n\times n}, A > 0 \implies \lambda (A) >0$$ - `Matrix.PosSemidef.eigenvalues_nonneg`: $$A \in k^{n\times n}, A \geq 0 \implies \lambda (A) \geq 0$$ Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
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Two lemmas:
Matrix.PosDef.eigenvalues_pos:Matrix.PosSemidef.eigenvalues_nonneg: