### Optimization: Structure and Applications: 32 (Springer Optimization and Its Applications)

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Wang: Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality, Set-Valued and Variational Analysis 20, pp. Wang and 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.

Yao: Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B. Svaiter, Journal of Mathematical Analysis and Applications , pp. Macklem, J. Sewell, and X. Wang: The resolvent average for positive semidefinite matrices, Linear Algebra and Its Applications , pp. 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.

Yao: Autoconjugate representers for linear monotone operators, Mathematical Programming Series B , pp. Yao: Montone linear relations: maximality and Fitzpatrick functions, Journal of Convex Analysis 16, pp , Wang, J. Ye and X. Bauschke, F.

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## Optimization Methods and Applications

Deutsch and H. Hundal: Characterizing arbitrarily slow convergence in the method of alternating projections, International Transactions in Operational Research 16, pp. Combettes: A Dykstra-like algorithm for two monotone operators, Pacific Journal of Optimization 4, pp. Goebel, Y. Lucet, and X. 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 , pp.

Wang: An explicit example of a maximal 3-cyclically monotone operator with bizarre properties, Nonlinear Analysis 69, pp.

Lucet, H. Bauschke, and M. Trienis: The piecewise linear-quadratic model for computational convex analysis, Computational Optimization and Applications 43, pp. Lucet, and M. Borwein, and X. Wang: A convex-analytical approach to extension results for n -cyclically monotone operators, Set-Valued Analysis 15, pp. Bauschke: Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings, Proceedings of the American Mathematical Society , pp.

Combettes, and D. Noll: Joint minimization with alternating Bregman proximity operators, Pacific Journal of Optimization 2, pp. Borwein, S. Reich, and X. Wang: Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative, Nonlinear Analysis 66, pp. 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 , pp. Combettes, and S.

Kruk: Extrapolation algorithm for affine-convex feasibility problems, Numerical Algorithms 41 3 , pp. McLaren, and H. Sendov: Fitzpatrick functions: inequalities, examples, and remarks on a problem by S. Lovasic, H.

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Bauschke, and C. Reich: The asymptotic behavior of the composition of two resolvents, Nonlinear Analysis: Theory, Methods, and Applications 60, pp. Burke, F. Deutsch, H.

Hundal, and J. Vanderwerff: A new proximal point iteration that converges weakly but not in norm, Proceedings of the American Mathematical Society 6 , pp. Luke: Finding best approximation pairs relative to two closed convex sets in Hilbert spaces, Journal of Approximation Theory , pp. Bauschke, E. Reich: Projection and proximal point methods: convergence results and counterexamples, Nonlinear Analysis: Theory, Methods, and Applications 56 5 , pp. Kruk: The method of reflection-projection for convex feasibility problems with an obtuse cone, Journal of Optimization Theory and Applications 3 , pp.

Borwein, and P. Combettes: Construction of best Bregman approximations in reflexive Banach spaces, Proceedings of the American Mathematical Society 12 , pp. Hundal, and S.

## Welcome to Heinz Bauschke's Research Page

Park: Accelerating the convergence of the method of alternating projections, Transactions of the American Mathematical Society 9 , pp. Hamilton, M. McMichael, and N. Bauschke: Duality for Bregman projections onto translated cones and affine subspaces, Journal of Approximation Theory , pp.

Bauschke: The composition of finitely many projections onto closed convex sets in Hilbert space is asymptotically regular, Proceedings of the American Mathematical Society 1 , pp. Luke: Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization, Journal of the Optical Society of America 19 7 , pp.

Combettes: Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces, Communications in Contemporary Mathematics 3 4 , pp. Bauschke, O. Guler, A. Lewis, and H. Sendov: Hyperbolic polynomials and convex analysis, Canadian Journal of Mathematics 53 3 , pp. Combettes: A weak-to-strong convergence principle for Fejer-monotone methods in Hilbert spaces, Mathematics of Operations Research 26 2 , pp. Bauschke and A.

## Topology optimization

Lewis: Dykstra's algorithm with Bregman projections: a convergence proof, Optimization 48, pp. Noll, A. Celler, and J. Bauschke and J. 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 1 , pp. Simons: Stronger maximal monotonicity properties of linear operators, Bulletin of the Australian Mathematical Society 60 1 , , 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. Bauschke: Proof of a conjecture by Deutsch, Li, and Swetits on duality of optimization problems, Journal of Optimization Theory and Applications 3 , pp. Journal faltered before publication; latest manuscript in ps or pdf.

Borwein: Legendre functions and the method of random Bregman projections, Journal of Convex Analysis 4 1 , pp. Bauschke and R.

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Corless: Analyzing a projection method with Maple, MapleTech 4 1 , pp. Bauschke: The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space, Journal of Mathematical Analysis and its Applications 1 , pp. Bauschke: A norm convergence result on random products of relaxed projections in Hilbert space, Transactions of the American Mathematical Society 4 , pp.

Borwein: Dykstra's alternating projection algorithm for two sets, Journal of Approximation Theory 79 3 , pp.

### Recommended for you

Borwein: On the convergence of von Neumann's alternating projection algorithm for two sets, Set-Valued Analysis 1 2 , pp. Conference proceedings published or accepted The electronic versions linked to below may differ from the published versions. Gretchko, and W. Moursi: Numerical explorations of feasibility algorithms for finding points in the intersection of finite sets, in Splitting Algorithms, Monotone Operator Theory, and Applications , in press, Springer, Burachik, and C. Kaya: Constraint splitting and projection methods for optimal control of double integrator, in Splitting Algorithms, Monotone Operator Theory, and Applications , in press, Springer, Iorio, and V.

Koch: The method of cyclic intrepid projections: convergence analysis and numerical experiments, in The impact of applications on mathematics , pp. Bauschke and V. Koch: Projection methods: Swiss Army knives for solving feasibility and best approximation problems with halfspaces, in Infinite Products and Their Applications , pp. Bauschke: New demiclosedness principles for firmly nonexpansive operators, Computational and Analytical Mathematics Burnaby , Springer, pp.

Macklem, and X.