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- Moreau's decomposition theorem (6,041 bytes)
44: == Moreau's theorem ==
45: Moreau's theorem is a fundamental result characterizing ...
50: '''Theorem (Moreau).''' Let <math>\mathcal{K}</math> be a closed con...
60: === Proof of Moreau's theorem ===
107: * J. J. Moreau, Décomposition orthogonale d'un espace hil...
Page text matches
- Farkas' lemma (4,352 bytes)
58: ...au%27s_decomposition_theorem#Moreau.27s_theorem | Moreau's theorem]].
61: ...rary. Then, by [[Moreau's decomposition theorem | Moreau's theorem]] we have - Lemaréchal (5,427 bytes)
47: # Practical aspects of the Moreau-Yosida regularization: theoretical preliminaries.... - Rockafellar (9,720 bytes)
8: ...hesis was nearly finished, I also found out about Moreau’s efforts to apply convexity ideas, including d...
10: ''Moreau and I independently in those days at first, but s... - Projection on Polyhedral Cone (17,044 bytes)
43: ...e algorithm is [[Moreau's_decomposition_theorem | Moreau's decomposition theorem]].
239: ... too. By using [[Moreau's_decomposition_theorem | Moreau's decomposition theorem]], A. B. Németh and S. Z... - Moreau's decomposition theorem (6,041 bytes)
44: == Moreau's theorem ==
45: Moreau's theorem is a fundamental result characterizing ...
50: '''Theorem (Moreau).''' Let <math>\mathcal{K}</math> be a closed con...
60: === Proof of Moreau's theorem ===
107: * J. J. Moreau, Décomposition orthogonale d'un espace hil... - Complementarity problem (24,073 bytes)
19: ...rc</math> is the [[Moreau's_decomposition_theorem#Moreau.27s_theorem |polar]] of <math>\mathcal{K}.</math>...
35: .../math> and <math>P_{\mathcal{K}}</math> is the [[Moreau's_decomposition_theorem#Projection_on_closed_conv...
43: ...Moreau's_decomposition_theorem#Moreau.27s_theorem|Moreau's theorem]], we get <math>x=P_{\mathcal{K}}z.</ma...
47: ...reau's_decomposition_theorem#Moreau.27s_theorem | Moreau's theorem]]
53: ...reau's_decomposition_theorem#Moreau.27s_theorem | Moreau's theorem]] also implies that <math>\langle x,y\r...
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