Comparing

OSQP	PARSDMM	Current GroptSDMM
\(\tilde{z}\)	\(s\)	\(s\)
\(\alpha\tilde{z} + (1-\alpha)z\)	\(\bar{x} = \gamma s + (1-\gamma)y\)	\(\gamma s + (1-\gamma)z\)
\(z\)	\(y\)	\(z\)
\(y\)	\(-v\)	\(y\)
\(\alpha\)	\(\gamma\)	\(\gamma,\gamma_x\)

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OSQP: Single \(\alpha\) value used for overrelaxation of x and primal updates
PARSDMM: Constraint specific \(\gamma\) for primal update, and nothing on x

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Both \(\rho\) are the same thing, and both are constriant specific (even though OSQP doesnt show it in algorithm)