# \#projection

**URL:** https://discourse.julialang.org/tag/projection/1871.md

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## [Solving Projection onto Linear Equality for Multiple Input Vectors](https://discourse.julialang.org/t/solving-projection-onto-linear-equality-for-multiple-input-vectors/133428)

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**Author:** [@RoyiAvital](https://discourse.julialang.org/u/RoyiAvital)\
**Replies:** 11\
**Last updated:** [October 31, 2025, 8:52pm UTC](https://discourse.julialang.org/t/solving-projection-onto-linear-equality-for-multiple-input-vectors/133428 "2025-10-31T20:52:18Z")

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I am after solving the projection onto a Linear Equation problem: \\arg \\min\_{\\boldsymbol{x}} \\frac{1}{2} {\\left\\| \\boldsymbol{x} - \\boldsymbol{y} \\right\\|}\_{2}^{2} \\; \\text{ subject to } \\boldsymbol{A} \\boldsymbol{x} =…