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4 changes: 3 additions & 1 deletion stdlib/LinearAlgebra/src/ldlt.jl
Original file line number Diff line number Diff line change
Expand Up @@ -129,10 +129,12 @@ end
"""
ldlt(S::SymTridiagonal) -> LDLt

Compute an `LDLt` factorization of the real symmetric tridiagonal matrix `S` such that `S = L*Diagonal(d)*L'`
Compute an `LDLt` (i.e., ``LDL^T``) factorization of the real symmetric tridiagonal matrix `S` such that `S = L*Diagonal(d)*L'`
where `L` is a unit lower triangular matrix and `d` is a vector. The main use of an `LDLt`
factorization `F = ldlt(S)` is to solve the linear system of equations `Sx = b` with `F\\b`.

See also [`bunchkaufman`](@ref) for a similar, but pivoted, factorization of arbitrary symmetric or Hermitian matrices.

# Examples
```jldoctest
julia> S = SymTridiagonal([3., 4., 5.], [1., 2.])
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