fix typos in NEWS for 1.11 (#53783)

NEWS.md

@@ -158,7 +158,7 @@ Standard library changes
 * `eigvals/eigen(A, bunchkaufman(B))` and `eigvals/eigen(A, lu(B))`, which utilize the Bunchkaufman (LDL) and LU decomposition of `B`,
    respectively, now efficiently compute the generalized eigenvalues (`eigen`: and eigenvectors) of `A` and `B`. Note: The second
    argument is the output of `bunchkaufman` or `lu` ([#50471]).
-* There is now a specialized dispatch for `eigvals/eigen(::Hermitian{<:Tridiagonal})` which performs a similarity transformation to create a real symmetrix triagonal matrix, and solve that using the LAPACK routines ([#49546]).
+* There is now a specialized dispatch for `eigvals/eigen(::Hermitian{<:Tridiagonal})` which performs a similarity transformation to create a real symmetric tridiagonal matrix, and solve that using the LAPACK routines ([#49546]).
 * Structured matrices now retain either the axes of the parent (for `Symmetric`/`Hermitian`/`AbstractTriangular`/`UpperHessenberg`), or that of the principal diagonal (for banded matrices) ([#52480]).
 * `bunchkaufman` and `bunchkaufman!` now work for any `AbstractFloat`, `Rational` and their complex variants. `bunchkaufman` now supports `Integer` types, by making an internal conversion to `Rational{BigInt}`. Added new function `inertia` that computes the inertia of the diagonal factor given by the `BunchKaufman` factorization object of a real symmetric or Hermitian matrix. For complex symmetric matrices, `inertia` only computes the number of zero eigenvalues of the diagonal factor ([#51487]).
 * Packages that specialize matrix-matrix `mul!` with a method signature of the form `mul!(::AbstractMatrix, ::MyMatrix, ::AbstractMatrix, ::Number, ::Number)` no longer encounter method ambiguities when interacting with `LinearAlgebra`. Previously, ambiguities used to arise when multiplying a `MyMatrix` with a structured matrix type provided by LinearAlgebra, such as `AbstractTriangular`, which used to necessitate additional methods to resolve such ambiguities. Similar sources of ambiguities have also been removed for matrix-vector `mul!` operations ([#52837]).
@@ -222,6 +222,7 @@ Tooling Improvements
 [#34587]: https://github.com/JuliaLang/julia/issues/34587
 [#35856]: https://github.com/JuliaLang/julia/issues/35856
 [#38064]: https://github.com/JuliaLang/julia/issues/38064
+[#39071]: https://github.com/JuliaLang/julia/issues/39071
 [#42593]: https://github.com/JuliaLang/julia/issues/42593
 [#43845]: https://github.com/JuliaLang/julia/issues/43845
 [#45156]: https://github.com/JuliaLang/julia/issues/45156