Derivation and Analysis of the Primal-Dual Method of Multipliers Based on Monotone Operator Theory

Thomas William Sherson; Richard Heusdens; W. Bastiaan Kleijn

doi:10.1109/tsipn.2018.2876754

Derivation and Analysis of the Primal-Dual Method of Multipliers Based on Monotone Operator Theory

IEEE Transactions on Signal and Information Processing over Networks ◽

10.1109/tsipn.2018.2876754 ◽

2019 ◽

Vol 5 (2) ◽

pp. 334-347 ◽

Cited By ~ 4

Author(s):

Thomas William Sherson ◽

Richard Heusdens ◽

W. Bastiaan Kleijn

Keyword(s):

Monotone Operator ◽

Operator Theory ◽

Dual Method ◽

Method Of Multipliers ◽

Primal Dual ◽

Monotone Operator Theory

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On Convergence Analysis of Gradient Based Primal-Dual Method of Multipliers

2018 IEEE Statistical Signal Processing Workshop (SSP) ◽

10.1109/ssp.2018.8450854 ◽

2018 ◽

Author(s):

Guoqiang Zhang ◽

Matthew OrConnor ◽

Le Li

Keyword(s):

Convergence Analysis ◽

Dual Method ◽

Method Of Multipliers ◽

Primal Dual ◽

Gradient Based

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Some applications of monotone operator theory to resonance problems

Nonlinear Analysis ◽

10.1016/0362-546x(79)90050-6 ◽

1979 ◽

Vol 3 (6) ◽

pp. 815-830 ◽

Cited By ~ 14

Author(s):

Herbert Amann ◽

Giovanni Mancini

Keyword(s):

Monotone Operator ◽

Operator Theory ◽

Monotone Operator Theory

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Applications of Monotone Operator Theory

An Introduction to Nonlinear Analysis and Fixed Point Theory ◽

10.1007/978-981-10-8866-7_8 ◽

2018 ◽

pp. 607-658

Author(s):

Hemant Kumar Pathak

Keyword(s):

Monotone Operator ◽

Operator Theory ◽

Monotone Operator Theory

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Convex Analysis and Monotone Operator Theory in Hilbert Spaces

10.1007/978-3-319-48311-5 ◽

2017 ◽

Cited By ~ 163

Author(s):

Heinz H. Bauschke ◽

Patrick L. Combettes

Keyword(s):

Monotone Operator ◽

Hilbert Spaces ◽

Operator Theory ◽

Convex Analysis ◽

Monotone Operator Theory

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Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-018-1326-x ◽

2018 ◽

Vol 57 (2) ◽

Cited By ~ 3

Author(s):

Yuan Gao ◽

Jian-Guo Liu ◽

Xin Yang Lu ◽

Xiangsheng Xu

Keyword(s):

Thin Film ◽

Epitaxial Growth ◽

Monotone Operator ◽

Maximal Monotone Operator ◽

Operator Theory ◽

Maximal Monotone ◽

Vicinal Surface ◽

Thin Film Equation ◽

Monotone Operator Theory

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Multi-agent energy management of smart islands using primal-dual method of multipliers

Energy ◽

10.1016/j.energy.2020.118306 ◽

2020 ◽

Vol 208 ◽

pp. 118306 ◽

Cited By ~ 1

Author(s):

Mohamed A. Mohamed ◽

Tao Jin ◽

Wencong Su

Keyword(s):

Energy Management ◽

Dual Method ◽

Method Of Multipliers ◽

Primal Dual ◽

Multi Agent

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Convex Analysis and Monotone Operator Theory in Hilbert Spaces

10.1007/978-1-4419-9467-7 ◽

2011 ◽

Cited By ~ 1032

Author(s):

Heinz H. Bauschke ◽

Patrick L. Combettes

Keyword(s):

Monotone Operator ◽

Hilbert Spaces ◽

Operator Theory ◽

Convex Analysis ◽

Monotone Operator Theory

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Correction to: Convex Analysis and Monotone Operator Theory in Hilbert Spaces

CMS Books in Mathematics - Convex Analysis and Monotone Operator Theory in Hilbert Spaces ◽

10.1007/978-3-319-48311-5_31 ◽

2019 ◽

pp. C1-C4

Author(s):

Heinz H. Bauschke ◽

Patrick L. Combettes

Keyword(s):

Monotone Operator ◽

Hilbert Spaces ◽

Operator Theory ◽

Convex Analysis ◽

Monotone Operator Theory

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A finite-dimensional tool-theorem in monotone operator theory

Advances in Mathematics ◽

10.1016/s0001-8708(74)80015-0 ◽

1974 ◽

Vol 12 (1) ◽

pp. 1-7 ◽

Cited By ~ 2

Author(s):

George J. Minty

Keyword(s):

Monotone Operator ◽

Operator Theory ◽

Finite Dimensional ◽

Monotone Operator Theory

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Monotone operator theory for unsteady problems in variable exponent spaces

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2011.557157 ◽

2011 ◽

Vol 57 (11) ◽

pp. 1209-1231 ◽

Cited By ~ 31

Author(s):

L. Diening ◽

P. Nägele ◽

M. Růžička

Keyword(s):

Monotone Operator ◽

Operator Theory ◽

Variable Exponent ◽

Variable Exponent Spaces ◽

Monotone Operator Theory ◽

Unsteady Problems

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