Theorems · Theorem · linear algebra
Matrix.PosDef.hadamard
∀ {𝕜 : Type u_1} [inst : RCLike 𝕜] {ι : Type u_3} {A B : Matrix ι ι 𝕜}, A.PosDef → B.PosDef → (A.hadamard B).PosDefSchur product theorem: the Hadamard (entrywise) product of positive definite matrices is positive definite.
- Defined in
- Mathlib.Analysis.Matrix.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 268 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
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