eq: ADMM from prox alg

[ADMM for distributed optimization]

Parallel_and_distribu...Parallel Distributed Alg Part 1#

[Consensus using Proximal ADMM]Compare with Consensus using Monotone Operator Splitting

Parallel and distributed algorithm7:55 PM

EE 364b Convex Optimization II Page 1

# Row-wise partition korar uddeshsho holo u e z

er value boshie u er average vector

shomkorke ekti surprising info ber kora, the end goal is iteration 3tir jaigai duti kora, both

# Caution: in all the terms are not the same, it just means that it is C wise construction of

e er value bebohar kora

EE 364b Convex Optimization II Page 2

there might be a typo in Boyd's note: z_i \in R^|c_i|

[eq: ADMM for global consensus]

[eq: ADMM for global consensus]

[General Consensus]

Parallel_and_distrib...Parallel Dist Alg Part 2

# Caution: in all the terms are not the same, it just means that it is C wise construction of

# Has a game theory flavor

EE 364b Convex Optimization II Page 3

[ADMM for distributed optimization]

[ eq: Eucledian_proj_on_hyperplane ]

[General Consensus]

EE 364b Convex Optimization II Page 4

[ADMM for distributed optimization]

[Projection onto the standard simplex]

EE 364b Convex Optimization II Page 5