Research Interests

Convex Analysis and Optimization, Monotone Operator Theory, Projection Methods, and Applications.

Preprints

Recent preprints (from arxiv.org)

Books (authored or edited)

• H.H. Bauschke and P.L. Combettes: Convex Analysis and Monotone Operator Theory in Hilbert Spaces, second edition, Springer, 2017. (amazon.com)
• H.H. Bauschke, R.S. Burachik, P.L. Combettes, V. Elser, D.R. Luke, and H. Wolkowicz (editors): Fixed-Point Algorithms for Inverse Problems in Science and Engineering, Springer, 2011.
• D.H. Bailey, H.H. Bauschke, P. Borwein, F. Garvan, M. Thera, J.D. Vanderwerff, and H. Wolkowicz (editors): Computational and Analytical Mathematics, Springer, 2013.
• H.H. Bauschke, R.S. Burachik, and D.R. Luke (editors): Splitting Algorithms, Monotone Operator Theory, and Applications, Springer, 2019.

Publications in refereed journals (published or accepted)
The electronic versions linked to below may differ from the published versions.

130. H.H. Bauschke and W.M. Moursi: On the behaviour of the Douglas-Rachford algorithm for minimizing a convex function subject to a linear constraint, SIAM Journal on Optimization in press (pdf.)

129. H.H. Bauschke, H. Ouyang, and X. Wang: On the linear convergence of circumcentered isometry methods, Numerical Algorithms in press (pdf.)

128. H.H. Bauschke, R.S. Burachik, D.B. Herman, and C.Y. Kaya: On Dykstra's algorithm: finite convergence, stalling, and the method of alternating projections, Optimization Letters in press (pdf.)

127. H.H. Bauschke, W.M. Moursi, and X. Wang: Generalized monotone operators and their averaged resolvents, Mathematical Programming (Series B) in press (pdf.)

126. H.H. Bauschke, H. Ouyang, and X. Wang: Circumcentered methods induced by isometries, Vietnam Journal of Mathematics in press (pdf.)

125. H.H. Bauschke and W.M. Moursi: On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings, Foundations of Computational Mathematics in press (pdf.)

124. H.H. Bauschke, W.M. Moursi, and X. Wang: Maximally monotone operators with ranges whose closures are not convex and an answer to a recent question by Stephen Simons, Proceedings of the AMS 148, pp. 2035-2044, 2020 (pdf.)

123. S. Bartz, H.H. Bauschke, H.M. Phan, and X. Wang: Multi-marginal maximal monotonicity and convex analysis, Mathematical Programming (Series A) in press (pdf.)

122. H.H. Bauschke, M.N. Bui, and X. Wang: Applying FISTA to optimization problems (with or) without minimizers, Mathematical Programming (Series A) in press (pdf.)

121. H.H. Bauschke, H. Ouyang, and X. Wang: On circumcenter mappings induced by nonexpansive operators Pure and Applied Functional Analysis in press (pdf.)

120. H.H. Bauschke, J. Bolte, J. Chen, M. Teboulle, and X. Wang: On linear convergence of non-Euclidean gradient methods without strong convexity and Lipschitz gradient continuity, Journal of Optimization Theory and Applications in press (pdf.)

119. H.H. Bauschke, M.N. Bui, and X. Wang: On sums and convex combinations of projectors onto convex sets, Journal of Approximation Theory 242, pp. 31-57, 2019. (pdf.)

118. H.H. Bauschke, M.N. Dao, and S.B. Lindstrom: The Douglas-Rachford algorithm for a hyperplane and a doubleton, Journal of Global Optimization 74, pp. 79-93, 2019. (pdf.)

117. S. Alwadani, H.H. Bauschke, W.M. Moursi, and X. Wang: On the asymptotic behaviour of the Aragon Artacho-Campoy algorithm Operations Research Letters 46, pp. 585-587, 2018. (pdf.)

116. H.H. Bauschke and S.B. Lindstrom: Proximal averages for minimization of entropy functionals, Pure and Applied Functional Analysis in press. (pdf.)

115. H.H. Bauschke, M.N. Dao, and S.B. Lindstrom: Regularizing with Bregman-Moreau envelopes, SIAM Journal on Optimization 28, pp. 3208-3228, 2018. (pdf.)

114. H.H. Bauschke, H. Ouyang, and X. Wang: On circumcenters of finite sets in Hilbert spaces, Linear and Nonlinear Analysis 4, pp. 271-295, 2018. (pdf.)

113. H.H. Bauschke, L. Miller, and W.M. Moursi: Intriguing maximally monotone operators derived from nonsunny nonexpansive retractions, Journal on Nonlinear and Variational Analysis 2, pp. 123-130, 2018. (pdf.)

112. H.H. Bauschke, M.N. Bui, and X. Wang: Projecting onto the intersection of a cone and a sphere, SIAM Journal on Optimization 28, pp. 2158-2188, 2018. (pdf.)

111. H.H. Bauschke and W.M. Moursi, The magnitude of the minimal displacement vector for compositions and convex combinations of firmly nonexpansive mappings, Optimization Letters 12, pp. 1465-1474, 2018. (pdf.)

110. S. Bartz, H.H. Bauschke, and X. Wang: A class of multimarginal c-cyclically monotone sets with explicit c-splitting potentials, Journal of Mathematical Analysis and Applications 461, pp. 333-348, 2018. (pdf.)

109. H.H. Bauschke, C. Wang, X. Wang, and J. Xu: Subgradient projectors: extensions, theory, and characterizations, Set-Valued and Variational Analysis 26, pp. 1009-1078, 2018. (pdf.)

108. H.H. Bauschke, B. Lukens, W.M. Moursi: Affine nonexpansive operators, Attouch-Thera duality, and the Douglas-Rachford algorithm Set-Valued and Variational Analysis 25, pp. 481-505, 2017. (pdf.)

107. H.H. Bauschke and M.N. Dao: On the finite convergence of the Douglas-Rachford algorithm for solving (not necessarily convex) feasibility problems in Euclidean spaces, SIAM Journal on Optimization 27, pp. 507-537, 2017. (pdf.)

106. S. Bartz, H.H. Bauschke, and X. Wang: The resolvent order: a unification of the orders by Zarantonello, by Loewner, and by Moreau, SIAM Journal on Optimization 27, pp. 466-477, 2017. (pdf.)

105. H.H. Bauschke and W.M. Moursi: On the Douglas-Rachford algorithm, Mathematical Programming (Series A) 164, pp. 263-284, 2017. (pdf.)

104. H.H. Bauschke, J. Schaad, and X. Wang: On Douglas-Rachford operators that fail to be proximal mappings, Mathematical Programming (Series B) 168, pp. 55-61, 2018. (pdf.)

103. H.H. Bauschke, J. Bolte, and M. Teboulle: A descent lemma beyond Lipschitz continuity: first order methods revisited and applications, Mathematics of Operations Research 42, pp. 330-348, 2017. (pdf.)

102. H.H. Bauschke, M.N. Dao, and W.M. Moursi: The Douglas-Rachford algorithm in the affine-convex case, Operations Research Letters 44, pp. 379-382, 2016. (pdf.)

101. H.H. Bauschke and W.M. Moursi: The Douglas-Rachford algorithm for two (not necessarily intersecting) affine subspaces, SIAM Journal on Optimization 26, pp. 968-985, 2016. (pdf.)

100. S. Bartz, H.H. Bauschke, S.M. Moffat, and X. Wang: The resolvent average of monotone operators: dominant and recessive properties, SIAM Journal on Optimization 26, pp. 602-634, 2016. (pdf.)

99. H.H. Bauschke, J.Y. Bello Cruz, T.T.A. Nghia, H.M. Phan, and X. Wang: Optimal rates of convergence of matrices with applications Numerical Algorithms 73, pp. 33-76, 2016. (pdf.)

98. H.H. Bauschke, M.N. Dao, D. Noll and H.M. Phan: On Slater's condition and finite convergence of the Douglas-Rachford algorithm for solving convex feasibility problems in Euclidean spaces, Journal of Global Optimization 65, pp. 329-349, 2016. (pdf.)

97. H.H. Bauschke, G.R. Douglas, and W.M. Moursi: On a result of Pazy concerning the asymptotic behaviour of nonexpansive mappings, Journal of Fixed Point Theory and Applications 18, pp. 297-307, 2016. (pdf.)

96. H.H. Bauschke, V.R. Koch, and H.M. Phan: Stadium norm and Douglas-Rachford splitting: a new approach to road design optimization, Operations Research 64, pp. 201-218, 2016. (pdf.)

95. H.H. Bauschke, M.N. Dao, and W.M. Moursi: On Fejer monotone sequences and nonexpansive mappings, Linear and Nonlinear Analysis 1, pp. 287-295, 2015. (pdf.)

94. H.H. Bauschke, W.L. Hare, and W.M. Moursi: On the range of the Douglas-Rachford operator, Mathematics of Operations Research 41, pp. 884-897, 2016. (pdf.)

93. H.H. Bauschke and W.M. Moursi: On the order of the operators in the Douglas-Rachford algorithm, Optimization Letters 10, pp. 447-455, 2016. (pdf.)

92. H.H. Bauschke, Y. Lucet, and H.M. Phan: On the convexity of piecewise-defined functions, ESAIM COCV 22, pp. 728-742, 2016. (pdf.)

91. H.H. Bauschke, M.N. Dao, D. Noll, and H.M. Phan: Proximal point algorithm, Douglas-Rachford algorithm and alternating projections: a case study, Journal of Convex Analysis 23, pp. 237-261, 2016. (pdf.)

90. H.H. Bauschke, C. Wang, X. Wang, and J. Xu: On subgradient projectors, SIAM Journal on Optimization 25, pp. 1064-1082, 2015. (pdf.)

89. H.H. Bauschke, C. Wang, X. Wang, and J. Xu: On the finite convergence of a projected cutter method, Journal of Optimization Theory 165, pp. 901-916, 2015. (pdf.)

88. H.H. Bauschke, W.L. Hare, and W.M. Moursi: A derivative-free comirror algorithm for convex optimization, Optimization Methods & Software 30, pp. 706-726, 2015. (pdf.)

87. H.H. Bauschke, D. Noll, and H.M. Phan: Linear and strong convergence of algorithms involving averaged nonexpansive operators, Journal of Mathematical Analysis and Applications 421, pp. 1-20, 2015. (pdf.)

86. H.H. Bauschke, J.Y. Bello Cruz, T.T.A. Nghia, H.M. Phan, and X. Wang: The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle, Journal of Approximation Theory 185, pp. 63-79, 2014. (pdf.)

85. H.H. Bauschke and D. Noll: On the local convergence of the Douglas-Rachford algorithm, Archiv der Mathematik 102, pp. 589-600, 2014. (pdf.)

84. H.H. Bauschke, W.L. Hare, and W.M. Moursi: Generalized solutions for the sum of two maximally monotone operators, SIAM Journal on Control and Optimization 52, pp. 1034-1047, 2014. (pdf.)

83. H.H. Bauschke, J. Chen and X. Wang: A Bregman projection method for approximating fixed points of quasi-Bregman nonexpansive mappings, Applicable Analysis 94, pp. 75-84, 2015. (pdf.)

82. H.H. Bauschke and D. Noll: On cluster points of alternating projections, Serdica Mathematical Journal 39, pp. 355-364, 2013. (pdf.)

81. H.H. Bauschke, H.M. Phan and X. Wang: The method of alternating relaxed projections for two nonconvex sets, Vietnam Journal of Mathematics 42, pp. 421-450, 2014. (pdf.)

80. H.H. Bauschke, D.R. Luke, H.M. Phan and X. Wang: Restricted normal cones and sparsity optimization with affine constraints, Foundations of Computational Mathematics 14, pp. 63-83, 2014. (pdf.)

79. H.H. Bauschke, D.R. Luke, H.M. Phan and X. Wang: Restricted normal cones and the method of alternating projections: applications, Set-Valued and Variational Analysis 21, pp. 475-501, 2013. (pdf.)

78. H.H. Bauschke, D.R. Luke, H.M. Phan and X. Wang: Restricted normal cones and the method of alternating projections: theory, Set-Valued and Variational Analysis 21, pp. 431-473, 2013. (pdf.)

77. H.H. Bauschke, J. Sarada, and X. Wang: On moving averages, Journal of Convex Analysis 21, pp. 219-235, 2014. (pdf.)

76. H.H. Bauschke, J. Chen, and X. Wang: A projection method for approximating fixed points of quasi nonexpansive mappings without the usual demiclosedness condition, Journal of Nonlinear and Convex Analysis 15, pp. 129-135, 2014. (pdf.)

75. H.H. Bauschke, X. Wang, and L. Yao: Rectangularity and paramonotonicity of maximally monotone operators, Optimization 63, pp. 487-504, 2014. (pdf.)

74. H.H. Bauschke, R.I. Bot, W.L. Hare, and W.M. Moursi: Attouch-Thera duality revisited: paramonotonicity and operator splitting, Journal of Approximation Theory 164, pp. 1065-1084, 2012. (pdf.)

73. H.H. Bauschke, J.M. Borwein, X. Wang, and L. Yao: The Brezis-Browder theorem in a general Banach space, Journal of Functional Analysis 22, pp. 4948-4971, 2012. (pdf.)

72. H.H. Bauschke, J.M. Borwein, X. Wang, and L. Yao: Monotone operators and "bigger conjugate" functions, Journal of Convex Analysis 20, pp. 143-155, 2013. (pdf.)

71. H.H. Bauschke, J.M. Borwein, X. Wang, and L. Yao: Construction of pathological maximally monotone operators on non-reflexive Banach spaces, Set-Valued and Variational Analysis 20, pp. 387-415, 2012. (pdf.)

70. H.H. Bauschke, V. Martin-Marquez, S.M. Moffat, and X. Wang Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular Fixed Point Theory and Applications 2012, 2012:53. (html.) (pdf.)

69. H.H. Bauschke, X. Wang, and C.J.S. Wylie: Fixed points of averages of resolvents: geometry and algorithms, SIAM Journal on Optimization 22(1), pp. 24-40, 2012. (pdf.)

68. H.H. Bauschke and Y. Lucet: What is a Fenchel conjugate?, Notices of the AMS 59(1), pp. 44-46, January 2012. (pdf.)

67. H.H. Bauschke, S.M. Moffat, and X. Wang: Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings, Mathematical Programming, in press. (pdf.)

66. H.H. Bauschke, J.M. Borwein, X. Wang, and L. Yao: Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type, Optimization Letters, in press. (pdf.)

65. H.H. Bauschke, S.M. Moffat, and X. Wang: Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality, Set-Valued and Variational Analysis 20, pp. 131-153, 2012. (pdf.)

64. X. Wang and H.H. Bauschke: Compositions and averages of two resolvents: relative geometry of fixed point sets and a partial answer to a question by C. Byrne, Nonlinear Analysis 74, pp. 4550-4572, 2011. (pdf.)

63. H.H. Bauschke, X. Wang, and L. Yao: On Borwein-Wiersma decompositions of monotone linear relations, SIAM Journal on Optimization 20, pp. 2636-2652, 2010. (pdf.)

62. H.H. Bauschke, X. Wang, and L. Yao: Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter, Journal of Mathematical Analysis and Applications 370, pp. 224-241, 2010. (pdf.)

61. H.H. Bauschke, M.S. Macklem, J.B. Sewell, and X. Wang: Klee sets and Chebyshev centers for the right Bregman distance, Journal of Approximation Theory 162, pp. 1225-1244, 2010. (pdf.)

60. H.H. Bauschke and P.L. Combettes: The Baillon-Haddad theorem revisited, Journal of Convex Analysis 17, pp. 781-787, 2010. (pdf.)

59. H.H. Bauschke, S.M. Moffat, and X. Wang: The resolvent average for positive semidefinite matrices, Linear Algebra and Its Applications 432, pp. 1757-1771, 2010. (pdf.)

58. H.H. Bauschke: A note on the paper by Eckstein and Svaiter on "General projective splitting methods for sums of maximal monotone operators", SIAM Journal on Control and Optimization 48, pp. 2513-2515, 2009. (pdf.)

57. H.H. Bauschke, X. Wang, and L. Yao: An answer to S. Simons' question on the maximal monotonicity of the sum of a maximal monotone linear operator and a normal cone operator, Set-Valued and Variational Analysis 17, pp. 195-201, 2009. (pdf.)

56. H.H. Bauschke, X. Wang, and L. Yao: Autoconjugate representers for linear monotone operators, Mathematical Programming (Series B) 123, pp. 5-24, 2010. (pdf.)

55. H.H. Bauschke, X. Wang, and L. Yao: Montone linear relations: maximality and Fitzpatrick functions, Journal of Convex Analysis 16, pp 673-686, 2009. (pdf.)

54. H.H. Bauschke, X. Wang, J. Ye and X. Yuan: Bregman distances and Klee sets, Journal of Approximation Theory 158, pp. 170-183, 2009. (pdf.)

53. H.H. Bauschke, X. Wang, J. Ye and X. Yuan: Bregman distances and Chebyshev sets, Journal of Approximation Theory 159, pp. 3-25, 2009. (pdf.)

52. H.H. Bauschke, F. Deutsch and H. Hundal: Characterizing arbitrarily slow convergence in the method of alternating projections, International Transactions in Operational Research 16, pp. 413-425, 2009. (pdf.)

51. H.H. Bauschke and P.L. Combettes: A Dykstra-like algorithm for two monotone operators, Pacific Journal of Optimization 4, pp. 383-391, 2008. (pdf.)

50. H.H. Bauschke, R. Goebel, Y. Lucet, and X. Wang: The proximal average: basic theory, SIAM Journal on Optimization 19, pp. 766-785, 2008. (pdf.)

49. H.H. Bauschke and X. Wang: The kernel average for two convex functions and its applications to the extension and representation of monotone operators, Transactions of the American Mathematical Society 361, pp. 5947-5965, 2009 (pdf.)

48. H.H. Bauschke and X. Wang: An explicit example of a maximal 3-cyclically monotone operator with bizarre properties, Nonlinear Analysis 69, pp. 2875-2891, 2008. (pdf.)

47. Y. Lucet, H.H. Bauschke, and M. Trienis: The piecewise linear-quadratic model for computational convex analysis, Computational Optimization and Applications 43, pp. 95-118, 2009. (pdf.)

46. H.H. Bauschke, Y. Lucet, and M. Trienis: How to transform one convex function continuously into another, SIAM Review 50, pp. 115-132, 2008. (pdf.)

45. H.H. Bauschke, Y. Lucet, and X. Wang: Primal-dual symmetric antiderivatives for cyclically monotone operators, SIAM Journal on Control and Optimization 46, pp. 2031-2051, 2007. (pdf.)

44. H.H. Bauschke, J.M. Borwein, and X. Wang: Fitzpatrick functions and continuous linear monotone operators, SIAM Journal on Optimization 18, pp. 789-809, 2007. (pdf.)

43. H.H. Bauschke and X. Wang: A convex-analytical approach to extension results for n-cyclically monotone operators, Set-Valued Analysis 15, pp. 297-306, 2007. (pdf.)

42. H.H. Bauschke: Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings, Proceedings of the American Mathematical Society 135, pp. 135-139, 2007. (pdf.)

41. H.H. Bauschke, P.L. Combettes, and D. Noll: Joint minimization with alternating Bregman proximity operators, Pacific Journal of Optimization 2, pp. 401-424, 2006. (pdf.)

40. S. Bartz, H.H. Bauschke, J.M. Borwein, S. Reich, and X. Wang: Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative, Nonlinear Analysis 66, pp. 1198-1223, 2007. (pdf.)

39. H.H. Bauschke, P.L. Combettes, and D.R. Luke: A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space, Journal of Approximation Theory 141, pp. 63-69, 2006. (pdf.)

38. H.H. Bauschke, P.L. Combettes, and S.G. Kruk: Extrapolation algorithm for affine-convex feasibility problems, Numerical Algorithms 41(3), pp. 239-274, 2006. (pdf.)

37. H.H. Bauschke, D.A. McLaren, and H.S. Sendov: Fitzpatrick functions: inequalities, examples, and remarks on a problem by S. Fitzpatrick, Journal of Convex Analysis 13(3+4), pp. 499-523, 2006. (pdf.)

36. H.H. Bauschke and M.R. Edwards: A conjecture by De Pierro is true for translates of regular subspaces, Journal of Nonlinear and Convex Analysis 6, pp. 93-116, 2005. (pdf.)

35. L. Lovasic, H. Bauschke, and C. Janus: Working memory impairment in a transgenic amyloid precursor protein TgCRND8 mouse model of Alzheimer's disease, Genes, Brain and Behavior 4, pp. 197-208, 2005.

34. H.H. Bauschke and M. von Mohrenschildt: Symbolic computation of Fenchel conjugates, ACM SIGSAM Bulletin 40(1), pp. 18-28, 2006. (pdf.)

33. H.H. Bauschke, P.L. Combettes, and S. Reich: The asymptotic behavior of the composition of two resolvents, Nonlinear Analysis: Theory, Methods, and Applications 60, pp. 283-301, 2005. (pdf.)

32. H.H. Bauschke, J.V. Burke, F.R. Deutsch, H.S. Hundal, and J.D. Vanderwerff: A new proximal point iteration that converges weakly but not in norm, Proceedings of the American Mathematical Society 133(6), pp. 1829-1835, 2005. (pdf.)

31. H.H. Bauschke, P.L. Combettes, and D.R. Luke: Finding best approximation pairs relative to two closed convex sets in Hilbert spaces, Journal of Approximation Theory 127, pp. 178-192, 2004. (pdf.)

30. H.H. Bauschke, E. Matoušková, and S. Reich: Projection and proximal point methods: convergence results and counterexamples, Nonlinear Analysis: Theory, Methods, and Applications 56(5), pp. 715-738, 2004. (pdf.)

29. H.H. Bauschke and S.G. Kruk: The method of reflection-projection for convex feasibility problems with an obtuse cone, Journal of Optimization Theory and Applications 120(3), pp. 503-531, 2004. (pdf.)

28. H.H. Bauschke, J.M. Borwein, and P.L. Combettes: Bregman monotone optimization algorithms, SIAM Journal on Control and Optimization 42(2), pp. 596-636, 2003. (pdf.)

27. H.H. Bauschke and P.L. Combettes: Construction of best Bregman approximations in reflexive Banach spaces, Proceedings of the American Mathematical Society 131(12), pp. 3757-3766, 2003. (pdf.)

26. H.H. Bauschke, F. Deutsch, H. Hundal, and S.-H. Park: Accelerating the convergence of the method of alternating projections, Transactions of the American Mathematical Society 355(9), pp. 3433-3461, 2003. (pdf.)

25. H.H. Bauschke, C.H. Hamilton, M.S. Macklem, J.S. McMichael, and N.R. Swart: Recompression of JPEG images by Requantization, IEEE Transactions on Image Processing 12(7), pp. 843-849, 2003. (pdf.)

24. H.H. Bauschke, P.L. Combettes, and D.R. Luke: A Hybrid Projection Reflection Method for Phase Retrieval, Journal of the Optical Society of America A 20(6), pp. 1025-1034, 2003. (pdf.)

23. H.H. Bauschke and P.L. Combettes: Iterating Bregman retractions, SIAM Journal on Optimization 13(4), pp. 1159-1173, 2003. (pdf.)

22. H.H. Bauschke: Duality for Bregman projections onto translated cones and affine subspaces, Journal of Approximation Theory 121, pp. 1-12, 2003. (pdf.)

21. H.H. Bauschke: The composition of finitely many projections onto closed convex sets in Hilbert space is asymptotically regular, Proceedings of the American Mathematical Society 131(1), pp. 141-146, 2003. (pdf.)

20. H.H. Bauschke and D. Noll: The method of forward projections, Journal of Nonlinear and Convex Analysis 3(2), pp. 191-205, 2002. (scanned pdf; based on CECM Preprint 01:173.)

19. H.H. Bauschke, P.L. Combettes, and D.R. Luke: Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization, Journal of the Optical Society of America 19(7), pp. 1334-1345, 2002. (pdf.)

18. H.H. Bauschke, J.M. Borwein, and P.L. Combettes: Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces, Communications in Contemporary Mathematics 3(4), pp. 615-647, 2001. (pdf.)

17. H.H. Bauschke, O. Guler, A.S. Lewis, and H.S. Sendov: Hyperbolic polynomials and convex analysis, Canadian Journal of Mathematics 53(3), pp. 470-488, 2001. (ps or pdf.)

16. H.H. Bauschke and P.L. Combettes: A weak-to-strong convergence principle for Fejer-monotone methods in Hilbert spaces, Mathematics of Operations Research 26(2), pp. 248-264, 2001. (scanned pdf; earlier ps.)

15. H.H. Bauschke, J.M. Borwein, and P. Tseng: Bounded linear regularity, strong CHIP, and CHIP are distinct properties, Journal of Convex Analysis 7(2), pp. 395-412, 2000. (scanned pdf; possibly soon at journal home page.)

14. H.H. Bauschke and A.S. Lewis: Dykstra's algorithm with Bregman projections: a convergence proof, Optimization 48, pp. 409-427, 2000. (scanned pdf.)

13. H.H. Bauschke, D. Noll, A. Celler, and J.M. Borwein: An EM-algorithm for dynamic SPECT, IEEE Transactions on Medical Imaging 18(3), pp. 252-261, 1999. (pdf.)

12. H.H. Bauschke and J.M. Borwein Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators, Pacific Journal of Mathematics 189(1), pp. 1-20, 1999. (ps or pdf.)

11. H.H. Bauschke and S. Simons: Stronger maximal monotonicity properties of linear operators, Bulletin of the Australian Mathematical Society 60(1), 163--174, 1999. (scanned pdf.)

10. H.H. Bauschke, J.M. Borwein and W. Li: Strong conical hull intersection property, bounded linear regularity, Jameson's property (G), and error bounds in convex optimization, Mathematical Programming (Series A) 86(1), pp. 135-160, 1999. (pdf.)

9. H.H. Bauschke: Proof of a conjecture by Deutsch, Li, and Swetits on duality of optimization problems, Journal of Optimization Theory and Applications 102(3), pp. 697-703, 1999. (pdf.)

8. H.H. Bauschke and M. von Mohrenschildt: Fenchel conjugates and subdifferentials in Maple, accepted for publication in MapleTech, 1999. (Journal faltered before publication; latest manuscript in ps or pdf.)

7. H.H. Bauschke and J.M. Borwein: Legendre functions and the method of random Bregman projections, Journal of Convex Analysis 4(1), pp. 27-67, 1997. (dvi; ps; pdf.)

6. H.H. Bauschke and R.M. Corless: Analyzing a projection method with Maple, MapleTech 4(1), pp. 2-7, 1997. scanned pdf.)

5. H.H. Bauschke and J.M. Borwein: On projection algorithms for solving convex feasibility problems, SIAM Review 38(3), pp. 367-426, 1996. ps.gz or pdf.)

4. H.H. Bauschke: The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space, Journal of Mathematical Analysis and its Applications 202(1), pp. 150-159, 1996. (pdf.)

3. H.H. Bauschke: A norm convergence result on random products of relaxed projections in Hilbert space, Transactions of the American Mathematical Society 347(4), pp. 1365-1373, 1995. (pdf.)

2. H.H. Bauschke and J.M. Borwein: Dykstra's alternating projection algorithm for two sets, Journal of Approximation Theory 79(3), pp. 418-443, 1994. (pdf.)

1. H.H. Bauschke and J.M. Borwein: On the convergence of von Neumann's alternating projection algorithm for two sets, Set-Valued Analysis 1(2), pp. 185-212, 1993. (scanned pdf.)

Conference proceedings (published or accepted)
The electronic versions linked to below may differ from the published versions.

19. H.H. Bauschke, S. Gretchko, and W.M. Moursi: Numerical explorations of feasibility algorithms for finding points in the intersection of finite sets, in Splitting Algorithms, Monotone Operator Theory, and Applications, pp. 69-90, Springer, 2019. (pdf.)

18. H.H. Bauschke, R.S. Burachik, and C.Y. Kaya: Constraint splitting and projection methods for optimal control of double integrator, in Splitting Algorithms, Monotone Operator Theory, and Applications, pp. 45-68, Springer, 2019. (pdf.)

17. H.H. Bauschke, F. Iorio, and V.R. Koch: The method of cyclic intrepid projections: convergence analysis and numerical experiments, in The impact of applications on mathematics, pp. 187-200, Springer, 2014. (pdf.)

16. H.H. Bauschke and V.R. Koch: Projection methods: Swiss Army knives for solving feasibility and best approximation problems with halfspaces, in Infinite Products and Their Applications, pp. 1-40, AMS, 2015. (pdf.)

15. H.H. Bauschke: New demiclosedness principles for (firmly) nonexpansive operators, Computational and Analytical Mathematics (Burnaby 2011), Springer, pp. 19-28, 2013 (pdf.)

14. H.H. Bauschke, S.M. Moffat, and X. Wang: Self-dual smooth approximations of convex functions via the proximal average, Fixed-Point Algorithms for Inverse Problems in Science and Engineering (Banff 2009) , Springer, pp. 23-32, 2011. (pdf.)

13. H.H. Bauschke, M.S. Macklem, and X. Wang: Chebyshev sets, Klee sets, and Chebyshev centers with respect to Bregman distances: recent results and open problems, Fixed-Point Algorithms for Inverse Problems in Science and Engineering (Banff 2009) , Springer, pp. 1-22, 2011. (pdf.)

12. H.H. Bauschke, X. Wang, and L. Yao: On the maximal monotonicity of the sum of a maximal monotone linear relation and the subdifferential operator of a sublinear function, Proceedings of the Haifa Workshop on Optimization Theory and Related Topics (Haifa 2010), Contemporary Mathematics 568, AMS, Providence, RI, pp. 19-26, 2012. (pdf.)

11. H.H. Bauschke, X. Wang, and L. Yao: General resolvents for monotone operators: characterization and extension, Biomedical Mathematics: Promising Directions in Imaging, Therapy Planning and Inverse Problems (Huangguoshu 2008), Chapter 4, Medical Physics Publishing, 2010. (pdf.)

10. H.H. Bauschke and X. Wang: Firmly nonexpansive and Kirszbraun-Valentine extensions: a constructive approach via monotone operator theory, Nonlinear Analysis and Optimization I (Haifa 2008), Contemporary Mathematics 513, AMS, Providence, RI, pp. 55-64, 2010. (pdf.)

9. H.H. Bauschke, P.L. Combettes, and J.-C. Pesquet: A decomposition method for nonsmooth convex variational signal recovery, Proceedings of the 31st IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '06), Toulouse, France, May 14-19, 2006. (pdf.)

8. H.H. Bauschke, P.L. Combettes, and D.R. Luke: A new generation of iterative transform algorithms for phase contrast tomography, Proceedings of the 30th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '05), Philadelphia, Pennsylvania, 19-23 March, 2005. (pdf.)

7. H.H. Bauschke, P.L. Combettes, and D.R. Luke: On the structure of some phase retrieval problems, Proceedings of IEEE International Conference on Image Processing (ICIP '02), vol.II, pp. 841-844, Rochester, New York, 22-25 September, 2002. (pdf or ps.)

6. H.H. Bauschke, C.H. Hamilton, M.S. Macklem, J.S. McMichael, and N.R. Swart: A requantization-based method for recompressing JPEG images, Proceedings of the 27th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '02), vol. III, pp. 2489-2492, Orlando, Florida, 13-17 May, 2002. (pdf.)

5. H.H. Bauschke: Projection algorithms: results and open problems, Inherently Parallel Algorithms in Feasibility and Optimization and their Applications (Haifa 2000), D. Butnariu, Y. Censor, S. Reich (editors), Elsevier, pp. 11-22, 2001. (ps.)

4. H.H. Bauschke and J.M. Borwein: Joint and separate convexity of the Bregman distance, Inherently Parallel Algorithms in Feasibility and Optimization and their Applications (Haifa 2000), D. Butnariu, Y. Censor, S. Reich (editors), Elsevier, pp. 23-36, 2001. (ps.)

3. H.H. Bauschke, F. Deutsch, H. Hundal, and S.-H. Park: Fejer monotonicity and weak convergence of an accelerated method of projections, Constructive, experimental, and nonlinear analysis (Limoges 1999), Canadian Mathematical Society Conference Proceedings 27, pp. 1-6, 2000. (ps.)

2. H.H. Bauschke and J.M. Borwein: Conical open mapping theorems and regularity, Proceedings of the Centre for Mathematics and its Applications 36 (Australian National University 1998), pp. 1-10, 1999. (ps or pdf.)

1. H.H. Bauschke, J.M. Borwein, and A.S. Lewis: The method of cyclic projections for closed convex sets in Hilbert space, Recent developments in optimization theory and nonlinear analysis (Jerusalem 1995), Contemporary Mathematics 204, pp. 1-38, 1997. (ps.)

Ph.D. Thesis

Projection Algorithms and Monotone Operators
Mathematics, Simon Fraser University, 1996.