# \#kkt

**URL:** https://discourse.julialang.org/tag/kkt/968.md

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## [Solving KKT linear system (which solver for LDLᵀ factorization?)](https://discourse.julialang.org/t/solving-kkt-linear-system-which-solver-for-ldl-factorization/77544)

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**Author:** [@zdenek\_hurak](https://discourse.julialang.org/u/zdenek_hurak)\
**Replies:** 3\
**Last updated:** [March 8, 2022, 8:47am UTC](https://discourse.julialang.org/t/solving-kkt-linear-system-which-solver-for-ldl-factorization/77544 "2022-03-08T08:47:48Z")

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I would like to solve a system of linear equations given in a vector form as \\begin{bmatrix} Q & A^\\top \\\\ A & 0\\end{bmatrix}\\begin{bmatrix}x\\\\ \\lambda\\end{bmatrix} = \\begin{bmatrix} c \\\\ -b \\end{bmatrix} The matrix Q…