Theorems · Inductive type · linear algebra

LinearMap.IsPosSemidef

{R : Type u_1} →
  {M : Type u_5} →
    [inst : CommSemiring R] →
      [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → {I₁ : R →+* R} → [LE R] → (M →ₛₗ[I₁] M →ₗ[R] R) → Prop

A sesquilinear form B is positive semidefinite if it is symmetric and nonnegative.

Defined in

Mathlib.LinearAlgebra.SesquilinearForm.Basic

Cited by

8 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleLE