Theorems · Theorem · linear algebra
Matrix.frobenius_norm_diagonal
∀ {n : Type u_4} {α : Type u_5} [inst : Fintype n] [inst_1 : SeminormedAddCommGroup α] [inst_2 : DecidableEq n]
(v : n → α), ‖Matrix.diagonal v‖ = ‖WithLp.toLp 2 v‖- Defined in
- Mathlib.Analysis.Matrix.Normed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- ENNRealstatement · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Norm.normstatement · cited by 5,413
- Matrixstatement · cited by 4,303
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NNReal.toRealproof · cited by 1,260
- WithLpstatement · cited by 345
- Matrix.diagonalstatement · cited by 314
- Matrix.frobeniusSeminormedAddCommGroupstatement · cited by 18
- Matrix.frobenius_nnnorm_diagonalproof · cited by 2
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