Theorems · Definition · linear algebra
LDL.diag
{𝕜 : Type u_1} →
[inst : RCLike 𝕜] →
{n : Type u_2} →
[inst_1 : LinearOrder n] →
[WellFoundedLT n] → [LocallyFiniteOrderBot n] → {S : Matrix n n 𝕜} → [Fintype n] → S.PosDef → Matrix n n 𝕜The diagonal matrix D of the LDL decomposition.
- Defined in
- Mathlib.Analysis.Matrix.LDL
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- RCLikestatement and proof · cited by 2,829
- WellFoundedLTstatement and proof · cited by 491
- Matrix.diagonalproof · cited by 314
- LocallyFiniteOrderBotstatement and proof · cited by 286
- RCLike.toPartialOrderstatement · cited by 106
- Matrix.PosDefstatement and proof · cited by 68
- LDL.diagEntriesproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- LDL.diag_eq_lowerInv_conjstatement · cited by 1
- LDL.lower_conj_diagstatement and proof · cited by 0