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51

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

52

Bregman distances and Klee sets

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

Journal:

Journal of Approximation Theory

Year:

2009

Language:

english

File:

PDF, 609 KB

english, 2009

53

Duality for Bregman projections onto translated cones and affine subspaces

Heinz H. Bauschke

Journal:

Journal of Approximation Theory

Year:

2003

Language:

english

File:

PDF, 175 KB

english, 2003

54

Fixed Points of Averages of Resolvents: Geometry and Algorithms

Bauschke, Heinz H., Wang, Xianfu, Wylie, Calvin J. S.

Journal:

SIAM Journal on Optimization

Year:

2012

Language:

english

File:

PDF, 227 KB

english, 2012

55

Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization

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

Journal:

Journal of the Optical Society of America A

Year:

2002

Language:

english

File:

PDF, 235 KB

english, 2002

56

Hybrid projection–reflection method for phase retrieval

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

Journal:

Journal of the Optical Society of America A

Year:

2003

Language:

english

File:

PDF, 811 KB

english, 2003

57

Attouch–Théra duality revisited: Paramonotonicity and operator splitting

Heinz H. Bauschke, Radu I. Boţ, Warren L. Hare, Walaa M. Moursi

Journal:

Journal of Approximation Theory

Year:

2012

Language:

english

File:

PDF, 257 KB

english, 2012

58

The Proximal Average: Basic Theory

Bauschke, Heinz H., Goebel, Rafal, Lucet, Yves, Wang, Xianfu

Journal:

SIAM Journal on Optimization

Year:

2008

Language:

english

File:

PDF, 254 KB

english, 2008

59

Iterating Bregman Retractions

Bauschke, Heinz H., Combettes, Patrick L.

Journal:

SIAM Journal on Optimization

Year:

2003

Language:

english

File:

PDF, 195 KB

english, 2003

60

Primal-Dual Symmetric Intrinsic Methods for Finding Antiderivatives of Cyclically Monotone Operators

Bauschke, Heinz H., Lucet, Yves, Wang, Xianfu

Journal:

SIAM Journal on Control and Optimization

Year:

2007

Language:

english

File:

PDF, 292 KB

english, 2007

61

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

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

Year:

2011

Language:

english

File:

PDF, 659 KB

english, 2011

62

[Springer Optimization and Its Applications] Fixed-Point Algorithms for Inverse Problems in Science and Engineering Volume 49 || The Douglas–Rachford Algorithm in the Absence of Convexity

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

Year:

2011

Language:

english

File:

PDF, 659 KB

english, 2011

63

Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings

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

Journal:

Mathematical Programming

Year:

2013

Language:

english

File:

PDF, 218 KB

english, 2013

64

How to Transform One Convex Function Continuously into Another

Bauschke, Heinz H., Lucet, Yves, Trienis, Michael

Journal:

Year:

2008

Language:

english

File:

PDF, 3.94 MB

english, 2008

65

Symbolic computation of Fenchel conjugates

Bauschke, Heinz H., Mohrenschildt, Martin v.

Journal:

ACM Communications in Computer Algebra

Year:

2006

Language:

english

File:

PDF, 350 KB

english, 2006

66

On Borwein–Wiersma Decompositions of Monotone Linear Relations

Bauschke, Heinz H., Wang, Xianfu, Yao, Liangjin

Journal:

SIAM Journal on Optimization

Year:

2010

Language:

english

File:

PDF, 244 KB

english, 2010

67

Restricted Normal Cones and the Method of Alternating Projections: Applications

Bauschke, Heinz H., Luke, D. Russell, Phan, Hung M., Wang, Xianfu

Journal:

Set-Valued and Variational Analysis

Year:

2013

Language:

english

File:

PDF, 556 KB

english, 2013

68

Restricted Normal Cones and the Method of Alternating Projections: Theory

Bauschke, Heinz H., Luke, D. Russell, Phan, Hung M., Wang, Xianfu

Journal:

Set-Valued and Variational Analysis

Year:

2013

Language:

english

File:

PDF, 718 KB

english, 2013

69

Preface

Heinz H. Bauschke, Michel Théra, Henry Wolkowicz

Journal:

Mathematical Programming

Year:

2013

Language:

english

File:

PDF, 59 KB

english, 2013

70

Restricted Normal Cones and Sparsity Optimization with Affine Constraints

Bauschke, Heinz H., Luke, D. Russell, Phan, Hung M., Wang, Xianfu

Journal:

Foundations of Computational Mathematics

Year:

2014

Language:

english

File:

PDF, 777 KB

english, 2014

71

Generalized Solutions for the Sum of Two Maximally Monotone Operators

Bauschke, Heinz H., Hare, Warren L., Moursi, Walaa M.

Journal:

SIAM Journal on Control and Optimization

Year:

2014

Language:

english

File:

PDF, 260 KB

english, 2014

72

How to Transform One Convex Function Continuously into Another

Heinz H. Bauschke, Yves Lucet and Michael Trienis

Journal:

Year:

2008

Language:

english

File:

PDF, 1.62 MB

english, 2008

73

The Method of Alternating Relaxed Projections for Two Nonconvex Sets

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

Journal:

Vietnam Journal of Mathematics

Year:

2014

Language:

english

File:

PDF, 1.00 MB

english, 2014

74

The rate of linear convergence of the Douglas–Rachford algorithm for subspaces is the cosine of the Friedrichs angle

Bauschke, Heinz H., Bello Cruz, J.Y., Nghia, Tran T.A., Phan, Hung M., Wang, Xianfu

Journal:

Journal of Approximation Theory

Year:

2014

Language:

english

File:

PDF, 835 KB

english, 2014

75

Linear and strong convergence of algorithms involving averaged nonexpansive operators

Bauschke, Heinz H., Noll, Dominikus, Phan, Hung M.

Journal:

Journal of Mathematical Analysis and Applications

Year:

2015

Language:

english

File:

PDF, 451 KB

english, 2015

76

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

Heinz H. Bauschke and Patrick L. Combettes

Journal:

Mathematics of Operations Research

Year:

2001

Language:

english

File:

PDF, 521 KB

english, 2001

77

A derivative-free comirror algorithm for convex optimization

Bauschke, Heinz H., Hare, Warren L., Moursi, Walaa M.

Journal:

Optimization Methods and Software

Year:

2015

Language:

english

File:

PDF, 437 KB

english, 2015

78

On the Finite Convergence of a Projected Cutter Method

Bauschke, Heinz H., Wang, Caifang, Wang, Xianfu, Xu, Jia

Journal:

Journal of Optimization Theory and Applications

Year:

2015

Language:

english

File:

PDF, 226 KB

english, 2015

79

Rectangularity and paramonotonicity of maximally monotone operators

Bauschke, Heinz H., Wang, Xianfu, Yao, Liangjin

Journal:

Year:

2014

Language:

english

File:

PDF, 236 KB

english, 2014

80

[Studies in Computational Mathematics] Inherently Parallel Algorithms in Feasibility and Optimization and their Applications Volume 8 || Joint and Separate Convexity of the Bregman Distance

Bauschke, Heinz H.

Year:

2001

Language:

english

File:

PDF, 710 KB

english, 2001

81

[Studies in Computational Mathematics] Inherently Parallel Algorithms in Feasibility and Optimization and their Applications Volume 8 || Projection Algorithms: Results and Open Problems

Bauschke, Heinz H.

Year:

2001

Language:

english

File:

PDF, 709 KB

english, 2001

82

On the convexity of piecewise-defined functions

Heinz H. Bauschke,, Yves Lucet,, Hung M. Phan,

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2015

Language:

english

File:

PDF, 369 KB

english, 2015

83

On Subgradient Projectors

Bauschke, Heinz H., Wang, Caifang, Wang, Xianfu, Xu, Jia

Journal:

SIAM Journal on Optimization

Year:

2015

Language:

english

File:

PDF, 257 KB

english, 2015

84

[Springer Proceedings in Mathematics & Statistics] Computational and Analytical Mathematics Volume 50 || Primal Lower Nice Functions and Their Moreau Envelopes

Bailey, David H., Bauschke, Heinz H., Borwein, Peter, Garvan, Frank, Théra, Michel, Vanderwerff, Jon D., Wolkowicz, Henry

Year:

2013

Language:

english

File:

PDF, 339 KB

english, 2013

85

[Springer Proceedings in Mathematics & Statistics] Computational and Analytical Mathematics Volume 50 || An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization

Bailey, David H., Bauschke, Heinz H., Borwein, Peter, Garvan, Frank, Théra, Michel, Vanderwerff, Jon D., Wolkowicz, Henry

Year:

2013

Language:

english

File:

PDF, 286 KB

english, 2013

86

[Springer Proceedings in Mathematics & Statistics] Computational and Analytical Mathematics Volume 50 || Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems

Bailey, David H., Bauschke, Heinz H., Borwein, Peter, Garvan, Frank, Théra, Michel, Vanderwerff, Jon D., Wolkowicz, Henry

Year:

2013

Language:

english

File:

PDF, 408 KB

english, 2013

87

On Slater’s condition and finite convergence of the Douglas–Rachford algorithm for solving convex feasibility problems in Euclidean spaces

Bauschke, Heinz H., Dao, Minh N., Noll, Dominikus, Phan, Hung M.

Journal:

Journal of Global Optimization

Year:

2016

Language:

english

File:

PDF, 2.37 MB

english, 2016

88

Stadium Norm and Douglas-Rachford Splitting: A New Approach to Road Design Optimization

Bauschke, Heinz H., Koch, Valentin R., Phan, Hung M.

Journal:

Operations Research

Year:

2015

Language:

english

File:

PDF, 604 KB

english, 2015

89

Optimal Rates of Linear Convergence of Relaxed Alternating Projections and Generalized Douglas-Rachford Methods for Two Subspaces

Bauschke, Heinz H., Bello Cruz, J. Y., Nghia, Tran T. A., Pha, Hung M., Wang, Xianfu

Journal:

Numerical Algorithms

Year:

2016

Language:

english

File:

PDF, 943 KB

english, 2016

90

Fenchel Duality, Fitzpatrick Functions and the Extension of Firmly Nonexpansive Mappings

Heinz H. Bauschke

Journal:

Proceedings of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 535 KB

english, 2007

91

On a result of Pazy concerning the asymptotic behaviour of nonexpansive mappings

Bauschke, Heinz H., Douglas, Graeme R., Moursi, Walaa M.

Journal:

Journal of Fixed Point Theory and Applications

Year:

2016

Language:

english

File:

PDF, 692 KB

english, 2016

92

On the order of the operators in the Douglas–Rachford algorithm

Bauschke, Heinz H., Moursi, Walaa M.

Journal:

Optimization Letters

Year:

2016

Language:

english

File:

PDF, 574 KB

english, 2016

93

The Resolvent Average of Monotone Operators: Dominant and Recessive Properties

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

Journal:

SIAM Journal on Optimization

Year:

2016

Language:

english

File:

PDF, 386 KB

english, 2016

94

[IEEE (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005. - Philadelphia, Pennsylvania, USA (March 18-23, 2005)] Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005. - A New Generation of Iterative Transform Algorithms for Phase Contrast Tomography

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

Year:

2005

Language:

english

File:

PDF, 640 KB

english, 2005

95

The Douglas–Rachford algorithm in the affine-convex case

Bauschke, Heinz H., Dao, Minh N., Moursi, Walaa M.

Journal:

Operations Research Letters

Year:

2016

Language:

english

File:

PDF, 747 KB

english, 2016

96

On the Range of the Douglas–Rachford Operator

Bauschke, Heinz H., Hare, Warren L., Moursi, Walaa M.

Journal:

Mathematics of Operations Research

Year:

2016

Language:

english

File:

PDF, 292 KB

english, 2016

97

The Douglas--Rachford Algorithm for Two (Not Necessarily Intersecting) Affine Subspaces

Bauschke, Heinz H., Moursi, Walaa M.

Journal:

SIAM Journal on Optimization

Year:

2016

Language:

english

File:

PDF, 571 KB

english, 2016

98

Construction of best Bregman approximations in reflexive Banach spaces

Bauschke, Heinz H., Combettes, Patrick L.

Journal:

Proceedings of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 224 KB

english, 2003

99

10.1090/s0002-9939-02-06528-0

Bauschke, Heinz H.

Journal:

Proceedings of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 274 KB

english, 2003

100

Construction of Best Bregman Approximations in Reflexive Banach Spaces

Heinz H. Bauschke and Patrick L. Combettes

Journal:

Proceedings of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 880 KB

english, 2003