48 citations · 199 across the 83 of their papers we have counts for
4 papers · 2 filters
On Borwein-Wiersma Decompositions of Monotone Linear Relations
Heinz H. Bauschke, Xianfu Wang, Liangjin Yao
Monotone operators are of basic importance in optimization as they generalize simultaneously subdifferential operators of convex functions and positive semidefinite (not necessaril…
The Resolvent Average for Positive Semidefinite Matrices
Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang
We define a new average - termed the resolvent average - for positive semidefinite matrices. For positive definite matrices, the resolvent average enjoys self-duality and it interp…
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
In this paper, we give two explicit examples of unbounded linear maximal monotone operators. The first unbounded linear maximal monotone operator on is skew. We show…
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
The question whether or not the sum of two maximal monotone operators is maximal monotone under Rockafellar's constraint qualification - that is, whether or not "the sum theorem" i…