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1

[CMS Books in Mathematics] Convex Analysis and Monotone Operator Theory in Hilbert Spaces || Lower Semicontinuous Convex Functions

Bauschke, Heinz H., Combettes, Patrick L.

Year:

2011

Language:

english

File:

PDF, 598 KB

english, 2011

2

On Projection Algorithms for Solving Convex Feasibility Problems

Bauschke, Heinz H., Borwein, Jonathan M.

Journal:

Year:

1996

Language:

english

File:

PDF, 6.40 MB

english, 1996

3

Bregman Monotone Optimization Algorithms

Bauschke, Heinz H., Borwein, Jonathan M., Combettes, Patrick L.

Journal:

SIAM Journal on Control and Optimization

Year:

2003

Language:

english

File:

PDF, 395 KB

english, 2003

4

[CMS Books in Mathematics] Convex Analysis and Monotone Operator Theory in Hilbert Spaces ||

Bauschke, Heinz H., Combettes, Patrick L.

Year:

2011

Language:

english

File:

PDF, 4.13 MB

english, 2011

5

Projection and proximal point methods: convergence results and counterexamples

Heinz H. Bauschke, Eva Matoušková, Simeon Reich

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2004

Language:

english

File:

PDF, 359 KB

english, 2004

6

Firmly Nonexpansive Mappings and Maximally Monotone Operators: Correspondence and Duality

Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang

Journal:

Set-Valued and Variational Analysis

Year:

2012

Language:

english

File:

PDF, 436 KB

english, 2012

7

The Brezis–Browder Theorem in a general Banach space

Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, Liangjin Yao

Journal:

Journal of Functional Analysis

Year:

2012

Language:

english

File:

PDF, 209 KB

english, 2012

8

On Projection Algorithms for Solving Convex Feasibility Problems

Heinz H. Bauschke and Jonathan M. Borwein

Journal:

Year:

1996

Language:

english

File:

PDF, 4.24 MB

english, 1996

9

[Springer Optimization and Its Applications] Fixed-Point Algorithms for Inverse Problems in Science and Engineering Volume 49 || Proximal Splitting Methods in Signal Processing

Bauschke, Heinz H., Burachik, Regina S., Combettes, Patrick L., Elser, Veit, Luke, D. Russell, Wolkowicz, Henry

Year:

2011

Language:

english

File:

PDF, 464 KB

english, 2011

10

A Bregman projection method for approximating fixed points of quasi-Bregman nonexpansive mappings

Bauschke, Heinz H., Chen, Jiawei, Wang, Xianfu

Journal:

Applicable Analysis

Year:

2015

Language:

english

File:

PDF, 171 KB

english, 2015

11

[CMS Books in Mathematics] Convex Analysis and Monotone Operator Theory in Hilbert Spaces || Best Approximation Algorithms

Bauschke, Heinz H., Combettes, Patrick L.

Year:

2017

Language:

english

File:

PDF, 276 KB

english, 2017

12

The asymptotic behavior of the composition of two resolvents

Heinz H. Bauschke, Patrick L. Combettes, Simeon Reich

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2005

Language:

english

File:

PDF, 271 KB

english, 2005

13

Characterizing arbitrarily slow convergence in the method of alternating projections

Heinz H. Bauschke, Frank Deutsch, Hein Hundal

Journal:

International Transactions in Operational Research

Year:

2009

Language:

english

File:

PDF, 189 KB

english, 2009

14

Dykstras algorithm with bregman projections: A convergence proof

Bauschke, Heinz H, Lewis, Adrian S

Journal:

Year:

2000

Language:

english

File:

PDF, 709 KB

english, 2000

15

Fitzpatrick Functions and Continuous Linear Monotone Operators

Bauschke, Heinz H., Borwein, Jonathan M., Wang, Xianfu

Journal:

SIAM Journal on Optimization

Year:

2007

Language:

english

File:

PDF, 247 KB

english, 2007

16

A Note on the Paper by Eckstein and Svaiter on “General Projective Splitting Methods for Sums of Maximal Monotone Operators”

Bauschke, Heinz H.

Journal:

SIAM Journal on Control and Optimization

Year:

2009

Language:

english

File:

PDF, 111 KB

english, 2009

17

Construction of Pathological Maximally Monotone Operators on Non-reflexive Banach Spaces

Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, Liangjin Yao

Journal:

Set-Valued and Variational Analysis

Year:

2012

Language:

english

File:

PDF, 518 KB

english, 2012

18

Every maximally monotone operator of Fitzpatrick–Phelps type is actually of dense type

Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, Liangjin Yao

Journal:

Optimization Letters

Year:

2012

Language:

english

File:

PDF, 134 KB

english, 2012

19

Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular

Heinz H Bauschke, Victoria Martín-Márquez, Sarah M Moffat, Xianfu Wang

Journal:

Fixed Point Theory and Applications

Year:

2012

Language:

english

File:

PDF, 213 KB

english, 2012

20

ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES

BAUSCHKE, HEINZ H., BORWEIN, JONATHAN M., COMBETTES, PATRICK L.

Journal:

Communications in Contemporary Mathematics

Year:

2001

Language:

english

File:

PDF, 444 KB

english, 2001

21

The kernel average for two convex functions and its application to the extension and representation of monotone operators

Bauschke, Heinz H., Wang, Xianfu

Journal:

Transactions of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 306 KB

english, 2009

22

A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces

Bauschke, Heinz H., Combettes, Patrick L.

Journal:

Mathematics of Operations Research

Year:

2001

Language:

english

File:

PDF, 231 KB

english, 2001

23

The Composition of Projections onto Closed Convex Sets in Hilbert Space Is Asymptotically Regular

Heinz H. Bauschke

Journal:

Proceedings of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 486 KB

english, 2003

24

Accelerating the Convergence of the Method of Alternating Projections

Heinz H. Bauschke, Frank Deutsch, Hein Hundal and Sung-Ho Park

Journal:

Transactions of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 2.42 MB

english, 2003

25

Accelerating the convergence of the method of alternating projections

Bauschke, Heinz H., Deutsch, Frank, Hundal, Hein, Park, Sung-Ho

Journal:

Transactions of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 354 KB

english, 2003

26

Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings

Bauschke, Heinz H.

Journal:

Proceedings of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 150 KB

english, 2006

27

A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications

Bauschke, Heinz H., Bolte, Jérôme, Teboulle, Marc

Journal:

Mathematics of Operations Research

Year:

2016

Language:

english

File:

PDF, 308 KB

english, 2016

28

Hyperbolic Polynomials and Convex Analysis

Bauschke, Heinz H., Güler, Osman, Lewis, Adrian S., Sendov, Hristo S.

Journal:

Canadian Journal of Mathematics

Year:

2001

Language:

english

File:

PDF, 177 KB

english, 2001

29

Regularizing with Bregman--Moreau Envelopes

Bauschke, Heinz H., Dao, Minh N., Lindstrom, Scott B.

Journal:

SIAM Journal on Optimization

Year:

2018

Language:

english

File:

PDF, 843 KB

english, 2018

30

On Linear Convergence of Non-Euclidean Gradient Methods without Strong Convexity and Lipschitz Gradient Continuity

Bauschke, Heinz H., Bolte, Jérôme, Chen, Jiawei, Teboulle, Marc, Wang, Xianfu

Journal:

Journal of Optimization Theory and Applications

Year:

2019

Language:

english

File:

PDF, 347 KB

english, 2019

31

Multi-marginal maximal monotonicity and convex analysis

Bartz, Sedi, Bauschke, Heinz H., Phan, Hung M., Wang, Xianfu

Journal:

Mathematical Programming

Year:

2019

Language:

english

File:

PDF, 420 KB

english, 2019

32

Maximally monotone operators with ranges whose closures are not convex and an answer to a recent question by Stephen Simons

Bauschke, Heinz H., Moursi, Walaa M., Wang, Xianfu

Journal:

Proceedings of the American Mathematical Society

Year:

2020

Language:

english

File:

PDF, 198 KB

english, 2020

33

Generalized monotone operators and their averaged resolvents

Bauschke, Heinz H., Moursi, Walaa M., Wang, Xianfu

Journal:

Mathematical Programming

Year:

2020

File:

PDF, 473 KB

2020

34

On the Behavior of the Douglas--Rachford Algorithm for Minimizing a Convex Function Subject to a Linear Constraint

Bauschke, Heinz H., Moursi, Walaa M.

Journal:

SIAM Journal on Optimization

Year:

2020

File:

PDF, 423 KB

2020

35

The Approximation of Fixed Points of Compositions of Nonexpansive Mappings in Hilbert Space

Heinz H. Bauschke

Journal:

Journal of Mathematical Analysis and Applications

Year:

1996

Language:

english

File:

PDF, 130 KB

english, 1996

36

Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative

Sedi Bartz, Heinz H. Bauschke, Jonathan M. Borwein, Simeon Reich, Xianfu Wang

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2007

Language:

english

File:

PDF, 381 KB

english, 2007

37

An explicit example of a maximal 3-cyclically monotone operator with bizarre properties

Heinz H. Bauschke, Xianfu Wang

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2008

Language:

english

File:

PDF, 394 KB

english, 2008

38

Compositions and averages of two resolvents: Relative geometry of fixed points sets and a partial answer to a question by C. Byrne

Xianfu Wang, Heinz H. Bauschke

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2011

Language:

english

File:

PDF, 349 KB

english, 2011

39

Finding best approximation pairs relative to two closed convex sets in Hilbert spaces

Heinz H. Bauschke, Patrick L. Combettes, D.Russell Luke

Journal:

Journal of Approximation Theory

Year:

2004

Language:

english

File:

PDF, 263 KB

english, 2004

40

A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space

Heinz H. Bauschke, Patrick L. Combettes, D. Russell Luke

Journal:

Journal of Approximation Theory

Year:

2006

Language:

english

File:

PDF, 137 KB

english, 2006

41

Bregman distances and Chebyshev sets

Heinz H. Bauschke, Xianfu Wang, Jane Ye, Xiaoming Yuan

Journal:

Journal of Approximation Theory

Year:

2009

Language:

english

File:

PDF, 871 KB

english, 2009

42

Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter

Heinz H. Bauschke, Xianfu Wang, Liangjin Yao

Journal:

Journal of Mathematical Analysis and Applications

Year:

2010

Language:

english

File:

PDF, 275 KB

english, 2010

43

The resolvent average for positive semidefinite matrices

Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang

Journal:

Linear Algebra and its Applications

Year:

2010

Language:

english

File:

PDF, 223 KB

english, 2010

44

Autoconjugate representers for linear monotone operators

Heinz H. Bauschke, Xianfu Wang, Liangjin Yao

Journal:

Mathematical Programming

Year:

2010

Language:

english

File:

PDF, 292 KB

english, 2010

45

Strong conical hull intersection property, bounded linear regularity, Jameson’s property (G), and error bounds in convex optimization

Heinz H. Bauschke, Jonathan M. Borwein, Wu Li

Journal:

Mathematical Programming

Year:

1999

Language:

english

File:

PDF, 201 KB

english, 1999

46

The piecewise linear-quadratic model for

Yves Lucet, Heinz H. Bauschke, Mike Trienis

Journal:

Computational Optimization and Applications

Year:

2009

Language:

english

File:

PDF, 686 KB

english, 2009

47

Extrapolation algorithm for affine-convex feasibility problems

Heinz H. Bauschke, Patrick L. Combettes, Serge G. Kruk

Journal:

Numerical Algorithms

Year:

2006

Language:

english

File:

PDF, 596 KB

english, 2006

48

A Convex-Analytical Approach to Extension Results forn-Cyclically Monotone Operators

Heinz H. Bauschke, Xianfu Wang

Journal:

Set-Valued and Variational Analysis

Year:

2007

Language:

english

File:

PDF, 334 KB

english, 2007

49

An Answer to S. Simons’ Question on the Maximal Monotonicity of the Sum of a Maximal Monotone Linear Operator and a Normal Cone Operator

Heinz H. Bauschke, Xianfu Wang, Liangjin Yao

Journal:

Set-Valued and Variational Analysis

Year:

2009

Language:

english

File:

PDF, 290 KB

english, 2009

50

Klee sets and Chebyshev centers for the right Bregman distance

Heinz H. Bauschke, Mason S. Macklem, Jason B. Sewell, Xianfu Wang

Journal:

Journal of Approximation Theory

Year:

2010

Language:

english

File:

PDF, 1.06 MB

english, 2010

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